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any examples to show d2y/dx2 of max/min point can be 0
• September 10th 2010, 01:49 AM
stupidguy
any examples to show d2y/dx2 of max/min point can be 0
Any good examples showing ${d2y}/{dx2}$of max/min point can be 0?
Thanks.
• September 10th 2010, 02:03 AM
sa-ri-ga-ma
y = ax +b
Try this one.
• September 10th 2010, ... | {
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Originally Posted by stupidguy
how did you plot a graph? did you use latex?
Maybe there's an easier way, but what I do is make the graph in Excel, then take a screen shot of the graph, save it as a jpg, then use the Attachments tool under "Go Advanced."
• September 10th 2010, 12:25 PM
stupidguy
Quote:
Originally Post... | {
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+0
# Arithmetic Sequences Question 2
0
148
7
+143
Find all pairs of positive integers (a, n) such that n ≥ 2 and
a + (a+1) + (a+2) + ... + (a+n-1) = 100.
Jan 17, 2019
#1
+533
0
here is hint: when n is even, you can pair up numbers, when n is odd, find the middle term, because it will be the average.
HOPE THIS H... | {
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# Pick random integer between $2$ and $100$, expected value of the number of primes that divide $n$?
Sally picks a random integer $$n$$ between $$2$$ and $$100$$. What is the expected value of the number of primes that divide $$n$$?
I think the answer is$$\sum_{\text{primes }p \text{ where }2 \le p \le 97} {{\text{# ... | {
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$$2 \times 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 9,27,25,49$$ are $$18$$ such numbers. (Tally $$18$$ number with 2 prime factors. $$53$$ numbers total.)
$$4\times 3, 5, 7, 11, 13, 17, 19, 23,9, 25$$ are $$10$$ such numbers.($$28$$ with 2 factors. $$63$$ total)
$$8\times 3,5,7,11,9$$ are $$5$$ such numb... | {
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Since $$2\cdot 3\cdot 5\cdot7=210>100$$, there are no numbers in that range which have four or more prime factors. There are $$8$$ numbers in that range which have three prime factors: $$30,42,60,66,70,78,84,90$$. You can either count those which have two prime factors, or calculate that number as $$99-35-8=56$$.
A ra... | {
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My Math Forum Venn diagram
Algebra Pre-Algebra and Basic Algebra Math Forum
October 14th, 2012, 04:27 AM #1 Senior Member Joined: Jan 2012 Posts: 739 Thanks: 7 Venn diagram In a market survey, 100 traders sell fruits. 40 sell apples, 46 oranges, 50 mangoes, 14 apples and oranges, 15 apples and mangoes and 10 se... | {
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Joined: Dec 2006
From: Lexington, MA
Posts: 3,267
Thanks: 408
Re: Venn diagram
Hello, Chikis!
Quote:
In a market survey: 100 traders sell fruits. [color=beige]. . [/color]40 sell apples, [color=beige]. . [/color]46 sell oranges, [color=beige]. . [/color]50 sell mangoes, [color=beige]. . [/color]14 apples and orang... | {
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$\text{Therefore: }\:107\,-\,x \:=\:100 \;\;\;\Rightarrow\;\;\; \fbox{x \:=\:7}$
October 15th, 2012, 07:04 AM #4 Global Moderator Joined: Dec 2006 Posts: 20,472 Thanks: 2039 You don't need to be given the number of traders who sell all three fruits! Let N denote the "number of traders who sell" function, then 40 + ... | {
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# How Many Symmetric Relations on a Finite Set?
How many symmetric relations are there for an $n$-element set?
Thank you.
-
When you say relation, do you mean it has to include all the $n$ elements in it, or is the empty relation (for example) is also counted - as it satisfies symmetry. – Asaf Karagila Dec 21 '10 at... | {
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Note there are as many choices for $B$ as subsets of $A$, namely $2^n$.
To count the number of possible sets $C$, we use that $C$ is symmetric, meaning, if $(b,c)\in C$ then also $(c,b)\in C$. Now, let ${}[A]^2$ be the collection of subsets of $A$ of size 2. Note ${}[A]^2$ consists of subsets rather than ordered pairs... | {
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-
Andres, please do not provide complete answers to (what I still strongly suspect to be) homework questions. – Qiaochu Yuan Dec 21 '10 at 22:18
@Qiaochu: There is no indication to me that this is a homework problem. I expect people to act honorably, and be honest. If the OP does not explicitly say this is a homework p... | {
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Follow-on from this post
I was trying Birthday Paradox for 5-day calendar, with 3 people
The probability that NONE of them have matching birthday is
$5/5 * 4/5 * 3/5 = 0.48$
The probability there is AT LEAST one matching pair is
$1 - 0.48 = 0.52$
Question
What if I wanted to use inclusion-exclusion, i.e. the "lo... | {
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• I'm trying to do this pictorially, i.e. three intersecting circles – Rhonda Jan 8 '16 at 19:59
• @Rhonda Does this help? – Em. Jan 8 '16 at 20:31
• Holy Cow! That's what I'm trying to do right now. I believe this shall help, let me check. – Rhonda Jan 8 '16 at 20:32
• So the $P(AB,B2,AC)$ gets subtracted three times ... | {
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Since the events you are considering, $P_{1,2}, P_{1,3}, P_{2,3}$ are not disjoint, you cannot just sum their probabilities in order to get the probability of the union. You can therefore resort to the inclusion-exclusion principle which, as you know, states that for events $A_1, A_2, \dots, A_n$ $$\mbox{P}\biggl(\bigc... | {
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# Olympiad problem -- Sum involving many square roots...
1. Jun 11, 2017
### Mathysics29
√(2-√(2^(2)-1))+√(4-√(4^(2)-1))+√(6-√(6^(2)-1))+...+√(80-√(80^(2)-1))
How the find it's value
2. Jun 11, 2017
### Nidum
Do you have any ideas yourself ?
Just out of curiosity are there any rules about how these problems have... | {
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11. Jun 12, 2017
### Fred Wright
I'm posting my solution because this thread wasn't originally in homework section and doesn't appear to be homework.
After some algebra I write the problem as$$\sqrt{2}\sum_{n=1}^{40}\sqrt{n-\sqrt{n^2-.25}}$$
I multiply the sum by,
$$\frac{\sqrt{n+\sqrt{n^2-.25}}}{\sqrt{n+\sqrt{n^2-.2... | {
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# Compact manifolds with big mapping class group
I was wondering if compact surfaces were the only compact manifolds with a "big" or "complicated" mapping class group.
Are there higher dimensional manifolds (which are not in some way reducible to a surface) that have an infinite mapping class group? What kind of grou... | {
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• Why is the mapping class group in that case the outer automorphism group of the fundamental group? Feb 4, 2017 at 17:05
• Good question. I edited my answer, accordingly. Is this now better? Feb 4, 2017 at 19:39
• While I know that the isomorphism $\pi_0(\text{Diff}(M)) \to \text{Out}(F_n)$ holds for $d=3$, due to Hat... | {
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Proof: Paulin actually proved that if $\Gamma$ is a torsion-free word-hyperbolic group (such as the fundamental group of a closed manifold of negative curvature) and $\mathrm{Out}(\Gamma)$ is infinite then $\Gamma$ splits over a cyclic subgroup, say as $\Gamma=A*_CB$ for $C$ cyclic. (There is also the HNN-extension cas... | {
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# Expected Number of Coin Tosses to Get Five Consecutive Heads
A fair coin is tossed repeatedly until 5 consecutive heads occurs.
What is the expected number of coin tosses?
• Yet another copy and paste from Brilliant.org: brilliant.org/i/5rCgJ3 – Erick Wong Apr 17 '13 at 5:49
• @ErickWong: Is this a recent problem ... | {
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Lets calculate it for $n$ consecutive tosses the expected number of tosses needed.
Lets denote $E_n$ for $n$ consecutive heads. Now if we get one more head after $E_{n-1}$, then we have $n$ consecutive heads or if it is a tail then again we have to repeat the procedure.
So for the two scenarios:
1. $E_{n-1}+1$
2. $E... | {
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Possible outcomes are any combination of the green strings followed by the red string. We get the generating function of the probability of ending after $n$ tosses to be \begin{align} f(x)&=\sum_{k=0}^\infty\left(\frac12x+\frac14x^2+\frac18x^3+\frac1{16}x^4+\frac1{32}x^5\right)^k\frac1{32}x^5\\ &=\frac{\frac1{32}x^5}{1... | {
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• Could you elaborate briefly on why the derivative gives the expected number of flips? – Austin Mohr Aug 20 '13 at 2:37
• @AustinMohr: If $f(x)$ is the generating function of the probability $p_n$ of the ending after $n$ tosses $$f(x)=\sum_{n=0}^\infty p_nx^n$$ then, because the probability of lasting an infinite numb... | {
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In[28]:= Solve[Table[mu[k] == 1 + 1/2 mu[k + 1] + mu[0]/2, {k, 0, 4}],
Table[mu[k], {k, 0, 4}]] /. mu[5] -> 0
Out[28]= {{mu[0] -> 62, mu[1] -> 60, mu[2] -> 56, mu[3] -> 48,
mu[4] -> 32}}
Hence the expected number of coin flips $\mu_0$ equals 62.
• What tool did you use for solving? – pushpen.paul May 11 '15 at 17:1... | {
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now,
E(1) = (1-0.5) * (E(1)+1) + (0.5) * (E(0)+1) => E(1) = 2
E(2) = (1-0.125) * (E(1)+1) + (0.125) * (E(1)+1) => E(2) = 6
Similarly,
E(3) = 14
E(4) = 30
E(5) = 62
I would simplify the problem as follows:
Let $e$ = Expected number of flips until $5$ consecutive $H$, i.e., $E[5H]$
Let $f$ = Expected number of fl... | {
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Solving these equations, $e=62$, $f=60$, $g=56$, $h=48$, $i=32$
This solution offers some insight into conditional expectations of number of flips needed till 5 consecutive $H$ given 1, 2, 3 and 4 consecutive $H$.
Expectation for getting n consecutive heads is : 2*(2^n-1). Thus for 5 heads it is = 62.
• How did you g... | {
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# flips in runs with 5 heads = 5 x # runs with 5 heads
By linearity of expectation, the expected number of coin flips is $E(R_{0+}) + E(R_{1+}) + \ldots + E(R_{4+})$. $E(R_{4+})$ is $2 E(R_{5+}) = 2$, because one half of the time we flip at least four heads in a row, we go on to flip five heads in a row, i.e. the foll... | {
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We can solve this without equations. Ask the following (auxiliary) question: how many flips you need to get either $N$ heads or $N$ tails. Then to get $N$ heads only you need twice as many flips. Start with the question of how many flips you need to get either $H$ or $T$. The answer is $$x = \frac12 (1) + \frac12 (1) =... | {
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absorbing Markov Chain has a similar example as this question BTW...
ans =
62
60
56
48
32
Where each row is the expected number of steps before being absorbed when starting in that transient state (0 through 4 heads, top to bottom).
A recursive programming solution is also possible. Below is the solution in Python... | {
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# Sum of two co-prime integers
I need some help in a proof: Prove that for any integer $$n>6$$ can be written as a sum of two co-prime integers $$a,b$$ s.t. $$\gcd(a,b)=1$$.
I tried to go around with "Dirichlet's theorem on arithmetic progressions" but didn't had any luck to come to an actual proof. I mainly used ari... | {
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If $$n = 2k$$ and $$k$$ is odd you can do $$k-2$$ and $$k+2$$ and as $$k\pm 2$$ is odd you have $$\gcd(k-2,k+2)=\gcd(k-1, 4) = 1$$.
Just to provide an answer synthesized out of the comments already posted, your best (read as easiest) approach to this kind of problem is to toy around with general patterns until somethi... | {
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Original:
A different emphasis: if Euler's totient $$\phi(n) \geq 3,$$ then there is some integer $$a$$ with $$\gcd(a,n) = 1$$ and $$1 < a < n-1.$$ If we then name $$b = n-a,$$ we find that $$\gcd(a,b) = 1$$ as well, since a prime $$p$$ that divides both $$a,n-a$$ also divides $$n,$$ and this contradicts $$\gcd(a,n) =... | {
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How can I know the length of sublists in an expression without evaluating the expression?
I have a list called eaData which contains sublists of the form {a, b, number}, where each sublist gives the number of steps in the Euclidean algorithm (EA) for numbers $$a$$ and $$b$$.
I have the following code:
eaSteps[{a_, b... | {
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True
Conjecture: For any n such that Fibonacci[k] <= n <= Fibonacci[k+1], the length of longest list eaSteps[{a, b}] (b<a<=n) is k-2 and is reached by the pair {a, b} = Fibonacci[{k, k-1}].
Update: It is also possible to find a pair of numbers {a, b} less than n with maximum length for the sequence eaSteps[{a,b}] wit... | {
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$$\tiny\begin{array}{|c|c|c|c|c|} \hline \text{n} & 50 & 100 & 500 & 1000 \\ \hline \text{pair} & \{34,21\} & \{89,55\} & \{377,233\} & \{987,610\} \\ \hline \end{array}$$
Note: For some n, there are multiple pairs with maximum eaSteps length. For example, for n=50 there are 7 pairs that give a length 7 list:
Maximal... | {
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Grid[{#, ## & @@ #2} & @@@ Transpose[{{"k", "F[k]", "pair", "length"},
{#, Fibonacci@#, Column[maxEALengthPair@Fibonacci@#] & /@ #,
maxEALength[Fibonacci@#] & /@ #} &@Range[4, 25]}],
Dividers -> All] // TeXForm
$$\tiny\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \text{k} & 4 & 5 & 6 & 7 & 8 & 9 & 10 & ... | {
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{{987, 610}}
Length[Length[eaSteps[{987, 610}]]] -1
14
• thank you! so basically the reason I would know its 5050 before I even run the code is if I use Subsets` right? – user130306 Oct 22 '18 at 1:10
• @user130306, that's correct. – kglr Oct 22 '18 at 1:22
• great, thank you again. and for the second part of the q... | {
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Home > Error Bound > Taylor Approximation Error Bound
# Taylor Approximation Error Bound
## Contents
Thus, we have But, it's an off-the-wall fact that Thus, we have shown that for all real numbers . solution Practice B01 Solution video by PatrickJMT Close Practice B01 like? 5 Practice B02 For $$\displaystyle{f(x)=x^... | {
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Let's embark on a journey to find a bound for the error of a Taylor polynomial approximation. Lagrange Error Bound Calculator I could write a N here, I could write an a here to show it's an Nth degree centered at a. So this is the x-axis, this is the y-axis. Here's the formula for the remainder term: It's important to ... | {
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But you'll see this often, this is E for error. Here is a list of the three examples used here, if you wish to jump straight into one of them. P of a is equal to f of a. have a peek here This information is provided by the Taylor remainder term: f(x) = Tn(x) + Rn(x) Notice that the addition of the remainder term Rn(x) ... | {
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What are they talking about if they're saying the error of this Nth degree polynomial centered at a when we are at x is equal to b. So how do we do that? Generated Sun, 30 Oct 2016 16:07:21 GMT by s_sg2 (squid/3.5.20) http://accessdtv.com/error-bound/taylor-error-approximation.html Essentially, the difference between t... | {
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# Finding the range of launch speeds for which water shot from a hose will enter a tank a distance away
A water hose is used to fill a large cylindrical storage tank of diameter $$D$$ and height $$2D$$. The hose shoots the water at $$45^\circ$$ above the horizontal from the same level as the base of the tank and is a ... | {
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$$\implies2=\frac{12Dg}{v_{0\text-m}^2}\implies v_{0\text-m}=\sqrt{6Dg}$$
Manipulating the code for the plot of the blue parabola, it would appear the correct answer for $$v_{0\text-m}$$ is closer to $$3\sqrt{Dg}$$. How can I salvage my attempt to obtain the right solution?
• – amd Oct 12 '18 at 1:22
• The blue traje... | {
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# Does covariance equal to zero implies independence for binary random variables?
If $X$ and $Y$ are two random variables that can only take two possible states, how can I show that $Cov(X,Y) = 0$ implies independence? This kind of goes against what I learned back in the day that $Cov(X,Y) = 0$ does not imply independ... | {
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• Concise and elegant. Classy! +1 =D – Marcelo Ventura Feb 3 '17 at 22:14
Both correlation and covariance measure linear association between two given variables and it has no obligation to detect any other form of association else.
So those two variables might be associated in several other non-linear ways and covari... | {
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Notice that $r = P(X=1,Y=1)$ might be equal to the product $p\cdot q = P(X=1) P(Y=1)$, which would render $X$ and $Y$ independent, since \begin{align*} P(X=0,Y=0) &= 1 - p - q - pq = (1-p)(1-q) = P(X=0)P(Y=0)\\ P(X=1,Y=0) &= p - pq = p(1-q) = P(X=1)P(Y=0)\\ P(X=0,Y=1) &= q - pq = (1-p)q = P(X=0)P(Y=1). \end{align*}
Ye... | {
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Also, we would have \begin{align*} E(X') &= E\left(\frac{X-a}{b-a}\right) = \frac{E(X)-a}{b-a} \\ E(Y') &= E\left(\frac{Y-c}{d-c}\right) = \frac{E(Y)-c}{d-c} \\ E(X'Y') &= E\left(\frac{X-a}{b-a} \frac{Y-c}{d-c}\right) = \frac{E[(X-a)(Y-c)]}{(b-a)(d-c)} \\ &= \frac{E(XY-Xc-aY+ac)}{(b-a)(d-c)} = \frac{E(XY)-cE(X)-aE(Y)+a... | {
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This is nicely explained by Macro here, and in the Wikipedia entry for independence.
$\text {independence} \Rightarrow \text{zero cov}$, yet
$\text{zero cov}\nRightarrow \text{independence}.$
Great example: $X \sim N(0,1)$, and $Y= X^2.$ Covariance is zero (and $\mathbb E(XY)=0$, which is the criterion for orthogona... | {
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Similarly. $A$ and $B^c$ are independent events.
So, we have shown already that $$\Pr(X=1 , Y=1) = \Pr (X=1)\,\Pr(Y=1)$$ and the above shows that this implies that $$\Pr(X=i , Y=j) = \Pr (X=i)\,\Pr(Y=j), ~~i, j \in \{0,1\}$$ that is, the joint pmf factors into the product of marginal pmfs everywhere, not just at $(1,1... | {
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# USAMO $1989$, Problem $2$
Problem $$2$$ from USAMO, $$1989$$: The $$20$$ members of a local tennis club have scheduled exactly $$14$$ two-person games among themselves, with each member playing in at least one game. Prove that within this schedule there must be a set of six games with $$12$$ distinct players.
My at... | {
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While there are 6 games with 12 distinct players, only 5 games are between the players with exactly one game.
So here's a hint: split the players in two groups, those with one game and those with more. Then pair players with one game,after pair players with one game with players with more and finally players with more... | {
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• What do you mean by "pair players with one game"? It sounds like you're trying to construct an arrangement of games that fits the description, whereas the goal is to prove that every arrangement of 14 games among 20 players with each player in at least one game will have these 6 games – Ben Grossmann Aug 17 '20 at 14... | {
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# How does width and thickness affect the stiffness of steel plate?
I have a 2 mm thick steel plate which is 300 mm long and 30 mm wide, supported at either end. It supports a weight-bearing wheel that can roll along the plate. It currently supports the maximum weight that I expect it to support when the wheel is in t... | {
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And if for some reason you can't easily increase the thickness of the plate, you can consider a different beam structure. Currently, your beam is a simple rectangle. You can easily use a T-beam or an I-beam in order to stiffen the plate instead.
Again, while I've provided some suggested links to online calculators fee... | {
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It's important to note that you can increase your I in other ways as well. For example, if you welded another plate to your existing plate to make a T shape in cross section, you will significantly increase your $I$ and greatly stiffen your member.
• What this answer implies but doesn't say outright is that in many ca... | {
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# find $A,B$ in way that $f:A\rightarrow B$ is bijective, when $f(x)=\sqrt{x^2-1}$
## Problem
find $$A,B$$ in way that $$f:A\rightarrow B$$ is bijective, when $$f(x)=\sqrt{x^2-1}$$.
## Attempt to solve
map $$f:A \rightarrow B$$ is bijective when it's surjective and injective simultaneously. This map is injective wh... | {
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then for the surjectivity it suffices to observe that $$\lim_{x\to \pm \infty} f(x) = \infty$$
then $$f(x)$$ is bijective for the following restrictions
• $$f_1:(-\infty,a]\to [0,\infty)$$
• $$f_2:[b,\infty)\to [0,\infty)$$
with $$a\le -1$$ and $$b\ge 1$$
We can take $$A=[1,+\infty)$$
$$(\forall x>1) \; f'(x)=\fra... | {
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Since $$f(x)=f(-x)$$, for $$|x|\ge1$$, your set $$A$$ can only contain one among a number and its negative.
The most natural choice is $$A=[1,\infty)$$, but obviously not the only one; also the set $$A'$$ consisting of rationals $$\ge1$$ and the irrationals $$<-1$$ would do.
Both $$A$$ and $$A'$$ are “maximal”, in th... | {
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# Confusion over simple surds
### Confusion over simple surds
Why does $$\sqrt{180}$$ = 6$$\sqrt{5}$$
But $$\sqrt{48}$$ = 4$$\sqrt{3}$$
They are unrelated, but the way I remember doing these is sort of confusing me. This is how I've been asked to do it:
For example:
Why does $$\sqrt{2}$$ x $$\sqrt{2}$$ x $$\sqrt{3}... | {
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In fact the second rule generalises a bit: Consider $$\sqrt{a\times b\times c}$$ by the second rule:
$$\sqrt{a\times b\times c} = \sqrt{a\times (b\times c)}$$
$$= \sqrt{a}\times \sqrt{b\times c}$$ (by the second rule applied to $$a$$ and $$b\times c$$)
$$= \sqrt{a}\times \sqrt{b}\times\sqrt{c}$$ (by the second rule app... | {
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But $$\sqrt{48}$$ = 4$$\sqrt{3}$$[/tex]I'm not sure why you say "but". The two are not really related. $$48= 16(3)$$ so $$\sqrt{48}= \sqrt{16}\sqrt{3}= 4\sqrt{3}$$.
They are unrelated, but the way I remember doing these is sort of confusing me. This is how I've been asked to do it:
For example:
Why does $$\sqrt{2}$$ x... | {
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Identify whether or not he graph is a function. Given integral: I=∫0,05,3sinhx25+y236xdx+10yd. A piecewise function is called piecewise because it acts differently on different “pieces” of the number line. On graphing piecewise functions To graph a piecewise function, it is a good idea to follow these steps. For a piec... | {
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called *piecewise functions*, because their rules aren't uniform, but consist of multiple pieces. I have a piecewise function that I am trying to express by means of indicator functions depending on the value of the variable z: F_Ta = @(z) F_Ta_II(z). piecewise functions practice worksheet answer key, Topic - solutions... | {
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Either recalculate the slope using (0,1) and (2,5) or note that the slope has not changed since the y-values of both endpoints have been increased by 1 which means that the change in y has not changed. Use MathJax to format equations. Piecewise Functions And Answers - Displaying top 8 worksheets found for this concept.... | {
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Reciprocal Functions Key Terms absolute value absolute value function piecewise function invariant point absolute value equation reciprocal function asymptote The relationship between the pressure and the volume of a confined gas. Carefully graph each of the following. 11th Graphing Piecewise Functions. Worksheet Piece... | {
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who would like to practice problems on piecewise defined functions. • The graph is composed of part of a line. a) Write a piecewise function that represents your pay for up to 60 hours. maximum(f1_functions). Graph the piecewise function: Gimme a Hint Graph this piecewise function: Gimme a Hint = - Show Answer. Provide... | {
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4x + 6 if x > -5 Step 1 of 3: Evaluate this function at x = -5. I do you do with teacher Assignment: Graphing a Piecewise Function: Click Here (this is to be turned in for a grade) February 11-20 Lesson 2. Piecewise Functions. Graph of the Piecewise Function y = -x + 3 on the interval [-3, 0] and y = 3x + 1 on the inte... | {
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Plot[Piecewise[{{x^2, x >= 0}, {0, x < 0}}], {x, -10, 10}] When I define the Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Making statements base... | {
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function that I am trying to express by means of indicator functions depending on the value of the variable z: F_Ta = @(z) F_Ta_II(z). Making statements based on opinion; back them up with references or personal experience. If the function is undefined at the given value indicate "Undefined" < Answer 2 Points Keypad Ke... | {
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it can travel 4200 miles in 6 hours. f(x) = { x − 2, 2x + 1, if x ≤ 0 if x > 0 The expression x − 2 represents the value of f when x is less than or equal to 0. Express your answer as an integer or simplified fraction. Making statements based on opinion; back them up with references or personal experience. Some of the ... | {
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for the functions depends on the given interval of the input values. X 2 x 2 x 2 cases i. Show Answer. Answer: \displaystyle\lim\limits_{x. Piecewise FUNctions worksheet from mon Core Fun on from Piecewise Functions Worksheet With Answers, source:pinterest. * (z=Rd) where F_Ta_III can assume an infinite value only when... | {
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Making statements based on opinion; back them up with references or personal experience. Unformatted text preview: Math 2 Piecewise Functions Worksheet #2 Name: ____ Part I. First of all, modifiy your preamble adding \usepackage{amsfonts} Latex piecewise function with left operator \begin{equation*} y = f(x) = \lvert x... | {
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back them up with references or personal experience. Special care needs to be taken in for piecewise functions as explained in the exposition. Q: Show that the following line intergral is path and independent A: To show: The line integral is independent of the path. *Response times vary by subject and question complexi... | {
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the given value indicate "Undefined" < Answer 2 Points Keypad Keyboard Shortcuts Selecting a radio button will replace. t f vMpaYdYeL YwoiBtyhe KIVnvflibnBijtmeY \PfrPe\cWaalbcVuWlwugsK. And now the objective function of the problem will become a piece-wise function, but still linear in every part of the function. Disp... | {
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a function. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. Piecewise Defined Functions Worksheet - Problems. Variables, Expressions, Functions and Equations. Piecewise Functions - ClassZone. ... | {
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contains that point (0, 3), while the second piece contains the point (0, 1). {-x 3 + 6 x 2 - 9 x + 4 :. 7 –Piecewise Functions In real life problems, functions can be represented by a combination of equations, each corresponding to a part of the domain. Q: Show that the following line intergral is path and independent... | {
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someone please explain how to do this problem. Piecewise Functions And Answers - Displaying top 8 worksheets found for this concept. 2: Writing a Piece-wise Function from a graph Video 1: Click Here. Get help with your Piecewise functions homework. Answer the questions below Graphs #1-4 in the spaces provided. Help wou... | {
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function consists of pieces that are not connected. Identify whether or not he graph is a function. The greatest integer function is an example of a step function, a piecewise function in which each function rule is a constant function. Use MathJax to format equations. Learn more about thrust, rocket engine, modeling a... | {
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function asymptote The relationship between the pressure and the volume of a confined gas. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. ©n Q2L0`1S6\ WKUuFtTaw mSToifhtjwGaarveR VL^LwCg. You... | {
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of step function. Identify whether or not he graph is a function. For example, you may have one rule for all the negative numbers, another rule for numbers bigger […]. A piecewise function is a function defi ned by two or more equations. maximum(f1_functions). Regents Exam Questions Name: _____ F. I have a piecewise fu... | {
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for this concept are Piecewise answers, Work piecewise functions, Work piecewise functions, Piecewise functions, Piecewise functions, Work piecewise functions name algebra 2, Work piecewise functions algebra 2 answers, Piecewise functions. Piecewise, Absolute Value and Step Functions MathBitsNotebook. 27 Questions Show... | {
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side you are approaching the point. Functions assign outputs to inputs. To learn more, see our tips on writing great. Writing a Piecewise Function Write a piecewise function for the graph. Free piecewise functions calculator - explore piecewise function domain, range, intercepts, extreme points and asymptotes step-by-s... | {
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Q: Show that the following line intergral is path and independent A: To show: The line integral is independent of the path. Monster Functions (Day 2) OPEN HOUSE 6:00 to 8:30 PM P. 3_practice_solutions. Displaying top 8 worksheets found for - Piecewise Word Problems With Answers. Questions; hi calculus asap. Some of the... | {
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your answer as an integer or simplified fraction. To evaluate a piecewise function for a given value of x, substitute the value of x into the rule for the part of the domain that includes x. Lesson 26 Applications of Piecewise Defined Functions 4 Example 3: A rental home on Airbnb rents for$100 a night for the first th... | {
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Marking lightly, graph all the functions which are given for f. (Note: Absolute value is under. 2: Writing a Piece-wise Function from a graph Video 1: Click Here. Often the unit step function u. , they charge you an additional. If you don't see any interesting for you, use our search form on bottom ↓. Undefined functio... | {
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based on opinion; back them up with references or personal experience. The total cost T is a function of the number of nights x that a guest stays. com Features of functions from Bitwise functions worksheetwith answers, source:courses. * (z=Rd) where F_Ta_III can assume an infinite value only when z 0 f(-2) f(0) Answer... | {
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serious trouble understanding this application. Variables in MATLAB are by default double-precision. Practice: Piecewise functions graphs. Common Core Algebra 9H - Piecewise Functions Practice or questions 1 - 6, graph the piecewise functions on the axes provided. Carefully graph each of the following. -5 Step 1 of 3: ... | {
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is the line given by y = x + 3. SOLUTION Each “piece” of the function is linear. * (z=Rd) where F_Ta_III can assume an infinite value only when z 0 f(-2) f(0) Answered: Evaluate the piecewise-defined function… | bartleby menu. There will be one finished product turned in per group with all the names below listed: Assig... | {
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One easy way of obtaining such a function, is to connect the. W8V5 Python:Lagrange Interpolation 6:33. I use these data points (0,0) (1,1) (2,4) (4,16) (5,25). If f is a polynomial of degree less than or equal to , the CGL quadrature formula is exact. Let fx ign 0 be distinct real numbers and let fy ign be real. 60 gx ... | {
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Commented: KSSV on 4 May 2017 My Code is missing two values and I need help: function y = lagrange (X, Y, x) n = length(X); if n ~= length (Y). For Python: % timeit lagrange(x_int, y_int, x_new) with result. from matplotlib import pyplot as plt. consider linear interpolation. Python supports multiple ways to format tex... | {
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elements are indicated by <>. 93 KB #!/usr/bin/env python. Lagrange Polynomial Interpolation on Python. Nominators and denominators fo the base-polynomials are calculated and used to build ab the interpolation polynomial. from matplotlib import pyplot as plt. Aubin The University of Wisconsin-Milwaukee, 2019 Under the ... | {
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Books C CPP Database HSC Html JAVA JavaScript Others Perl Php Presentation Project Prolog Prolog2 Python Saturday, October 7, 2017 Others Perl Inverse lagrange interpolation formula theory, algorithm and flowchart with a lot of example. We see that they indeed pass through all node points at , , and. For a given set of... | {
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other answers. You will see updates in your activity feed. # Save the plot fig. interpolate packages wraps the netlib FITPACK routines (Dierckx) for calculating smoothing splines for various kinds of data and geometries. We do it in the following way: •Let. 223144 fx = lnx i x i f i g 0. Create a new le named Newton in... | {
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analysis. Objectives of Lagrange Interpolation The first goal of this section is to convert any set of tabulated data such as that found in Abramowitz_Stegun into. But let us explain both of them to appreciate the method later. How global polynomial interpolation works. Find the Lagrange Interpolation Formula given bel... | {
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Function for Lagrange Interpolation. Interpolation is going in the opposite direction, that is, estimating a value for the independent variable x, from the function, x = inverse( f(x) ). where is the barycentric weight, and the Lagrange interpolation can be written as: ( 24 ) We see that the complexity for calculating ... | {
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stands for return value. Click here to review slope-intercept form of a line. can be arbitrary real or complex numbers, and in 1D can be arbitrary symbolic expressions. """ import numpy as np import matplotlib. Given a set of data-points , the Lagrange Interpolating Polynomial is a polynomial of degree , such that it p... | {
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x array of data: xdata = 1 0 -2. Original data (dark) and interpolated data (light), interpolated using (top) forward filling, (middle) backward filling and (bottom) interpolation. Hermite interpolation constructs an interpolant based not. Shannon Hughes author of LAGRANGE'S INTERPOLATION METHOD FOR FINDING f(X) is fro... | {
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Python:Lagrange Interpolation 6:33. consider linear interpolation. Put this code in a file called lagrange. abedkime 13 août 2013 à 3:49:33. It is necessary because in science and engineering we often need to deal with. Lagrange interpolation is one of the best options. Lagrange's interpolation is also an degree polyno... | {
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