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# Specific volume In thermodynamics, the specific volume of a substance (symbol: ν or ${\displaystyle \nu }$) is an intrinsic property of the substance, defined as the ratio of the substance's volume (V) to its mass (m). It is the reciprocal of density (ρ) and it is related to the molar volume and molar mass: ${\disp...
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# Degrees of freedom ## Degrees of freedom, ### Definition of Degrees of freedom: 1. Number of independent units of information (measurements) in a sample relevant for estimating a parameter or computation of a statistic. 2. The easiest way to understand Degrees of Freedom conceptually is through an example:. 3. D...
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# Show that $q(n)=11n^2 + 32n$ is a prime number for two integer values of $n$ Let $n$ be an integer and show that $q(n)=11n^2 + 32n$ is a prime number for two integer values of $n$, and is composite for all other integer values of $n$. • I think that you need to allow negative integer values of $n$ as well. (If I'm ...
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+0 # equation 0 336 1 (x-sqroot(48))^2<=49/3 ?? Jul 1, 2017 edited by Guest  Jul 1, 2017 #1 +2298 +2 $$(x-\sqrt{48})^2\leq\frac{49}{3}$$ I am sorry if I have interpreted your inequality incorrectly. I am fairly certain that the equation above is what you were attempting to convey. $$(x-\sqrt{48})^2\leq\frac{49...
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Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs! #### Online Quiz (WorksheetABCD) Questions Per Quiz = 2 4 6 8 10 ### Geometry4.2 Area of Quadrilateral - I Example: In a quadrilateral ABCD, diagonal AC = 10 cm. The lengths of perpendiculars from B and C to AC are 6 ...
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# MATHS – SHORT RESPONSES PART I: SHORT RESPONSEDirections: Please answer each of the following questions thoroughly.1. What is one-way analysis of variance used for? What are the requirements for one-way analysis of variance?2. What is two-way analysis of variance used for? What are the requirements for two-way analy...
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Question # Find the sum upto first 11 terms of the series 1.4.7 + 4.7.10 + 7.10.13 + . . . . . is __ Solution ## Let Tn be the nth term of given series.  Tn = (nth term of 1,4,7,.......) (nth term of 4,7,10, .......) (nth term of 7,10,13,.......)             = [1 + (n-1)3] [4 + 3(n-1)] [7 +(n-1)3]             = (3n ...
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# Several algebra questions regarding factorisation #### PythagorasNeophyte A very good day to all. I have several questions all relating to algebra, and I will be very thankful if you can help me solve them. Please also show your workings clearly so that I may understand wholly. I am sorry if these questions take a ...
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The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A263746 Number of length n arrays of permutations of 0..n-1 with each element moved by -2 to 2 places and every three consecutive eleme...
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# Math Worksheets Land Math Worksheets For All Ages # Math Worksheets Land Math Worksheets For All Ages # Likelihood of a Single Event Worksheets Determining the likelihood that something will happen is used in many different walks of daily life. This ranges from predicting the weather for tomorrow, to which baske...
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# Can a 1/3 be made into a triangle? ## Can a 1/3 be made into a triangle? Can any three lengths make a triangle? The answer is no. There are limits on what the lengths can be. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the thir...
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# Integrated Algebra 27 January 2015 Integrated Algebra 27 January 2015 Questions Answer Keys The University of the State of New York Regents High School Examination Integrated Algebra Tuesday, January 27, 2015 — 1:15 to 4:15 p.m., only Student Name: ______________________________________________________ School Nam...
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# Use the definition of a limit to show that $\lim_{z \to z_0} (az + b) = az_0 + b.$ Let $a,b, z_0$ denote complex constants. Use the definition of a limit to show that $$\lim_{z \to z_0} (az + b) = az_0 + b.$$ Here is what I have done: \begin{align*} |az + b - (az_0 + b)| &= |az - az_0 + b - b|\\ &= |a(z - z_0)|\\ ...
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During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made. # Difference between revisions of "2020 AIME I Problems/Problem 11" ## Problem For integers $a,b,c$ and $d,$ let $f(x)=x^2+ax+b$ and $g(x)=x^2+cx+d.$ Find the number of ordered triples $(a,b,c)$ of integers with absolute values not exceedi...
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Custom fitting – calculating length adjustments A while back, I described several ways of altering Silver Streak in order to make it into a shorter cardigan. At that point, I simply discussed how one might go about modifying the length, but didn’t explain how to calculate even spaced decreases or increases. Knowing h...
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1. Find the splitting field Find the splitting field for f(x)=((x^2)+x+2)((x^2)+2x+2) over Z_3[x] Write f(x) as a product of linear factors Let $f(x)$ be a non-constant polynomial over a field $F$. Given a field extension $K$ over $F$ we say that $f(x)$ splits over $K$ iff $f(x) = a(x-\alpha_1)(x-\alpha_2)...(x-\alph...
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Thread: Bijective function proof 1. Bijective function proof Hey guys, just a bit lost with this proof Let x and y be distinct numbers in the set {1, 2, . . . , n}, (n positive integer) and let $\displaystyle \alpha \in$ Sn be the transposition (x y). Define W = { $\displaystyle \beta \in$ Sn | $\displaystyle \bet...
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# What condition on $m$ turns this semigroup into a monoid? Suppose you have a monoid $(M,p,1)$ (viewing it as a triple of a set $M$, operation $p$, and unit $1$). Then for some $m\in M$ we can define a new product $p_m$ in $M$ by $p_m(a,b)=amb$. It's easy to see this is a semigroup. However, what condition on $m$ wi...
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# MATH 21. College Algebra 1 Lecture Notes Size: px Start display at page: Transcription 1 MATH 21 College Algebra 1 Lecture Notes 2 MATH Factoring Review College Algebra 1 Factoring and Foiling 1. (a + b) 2 = a 2 + 2ab + b (a b) 2 = a 2 2ab + b (a + b)(a b) = a 2 b (a + b)(x + y) = ax + ay + bx + by. 5. a 3 + b 3 ...
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# Density lesson plan ```Lesson plan for Density: How Does Density Relate to Mass &Volume and an Objects Interaction with Water? Learning Goals: Students will be able to use macroscopic evidence to: 1. Measure the volume of an object by observing the amount of fluid it displaces or can displace. 2. Provide evidence an...
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S asked in Science & MathematicsPhysics · 8 months ago # What is the minimum value of L for which the waves will undergo full destructive interference? Two light waves travel in air with wavelength 520 nm, and they are initially in phase. Each passes through a block of length L before passing back into the air. One ...
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# Math Jokes ### What Is PI Several scientists were all posed the following question: “What is pi ?” The engineer said: “It is approximately 3 and 1/7” The physicist said: “It is 3.14159” The mathematician thought a bit, and replied “It is equal to pi”. A nutritionist: “Pie is a healthy and delicious dessert!” S...
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Table of 7 Created by: Team Maths - Examples.com, Last Updated: June 14, 2024 Table of 7 The table of 7, an essential component of elementary mathematics, showcases the outcomes of multiplying the number 7 by a series of whole numbers. This chart is a vivid representation of how multiplication serves as a method for...
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# algebra posted by . 0.15x+0.05(50000-x)=5000 • algebra - 0.15x+0.05(50000-x)=5000 0.15x + 2,500 - 0.05x = 5,000 0.1x = 2,500 x = 2,500/0.1 x = 25,000 • algebra - What is the question?
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# How to combine 3 random variables? I have a homework assignment that is giving me a hard time on the statistics. Lets say you have 3 stocks, all with n expected return (mean) $\mu = 8\%$, a risk (standard deviation) $\sigma = 16\%$ and a correlation coefficient $\rho = 0.3$ between every tow stocks. The homework que...
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Lump Sum Meaning In Tamil, Yellowtail Amberjack Taste, Sword Fighting Games List, Navy Blue Sleeper Sofa With White Piping, Khata To Jab Ho Ke Lyrics, Leesa Mattress Cover Replacement, Fever-tree Ginger Beer Where To Buy, " /> # Neues vom Bauernhof HomeNewsset theory problems and solutions algebra Note that some sec...
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# A spring question #### jacobsmith I am rather confused about springs. This may be an obvious question, so just bear with me. Now, say you had two spheres of any mass, a spring (that obeys Hooke's Law) connecting them, and the whole system was without external forces or friction (we can say, suspended in space). No...
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Research Design in Occupational Education Copyright 1997. James P. Key. Oklahoma State University Except for those materials which are supplied by different departments of the University (ex. IRB, Thesis Handbook) and references used by permission. MODULE S4 INFERENTIAL STATISTICAL TERMS Descriptive Statistics - Numbe...
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# chap32 - Chapter 32 Question 22 A coaxial cable consists of... This preview shows pages 1–3. Sign up to view the full content. Chapter 32 Question 22 A coaxial cable consists of an inner conductor of radius a and outer conductor of radius b, as shown in Fig. 32-21. Current flows along one conductor and back along t...
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## Thinking Mathematically (6th Edition) Published by Pearson # Chapter 8 - Personal Finance - 8.4 Compound Interest - Exercise Set 8.4 - Page 521: 26 #### Answer The effective annual yield is 6.2% #### Work Step by Step This is the formula we use when we find the effective annual yield $Y$: $Y = (1+\frac{r}{n})^...
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# project #2 - Jerod Lane Calc Project#2 Due to the wonderful... This preview shows pages 1–3. Sign up to view the full content. Jerod Lane Calc Project #2 Due to the wonderful calculations we provided with OHaganbooks.com in their previous inquiry to maximize their business they have now asked us to help them out in...
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# SAT Math Quiz – Linear Equations 0 59 SAT Math Quiz – Linear Equations – To help you in better SAT Math preparation and to check in your present level, we have come up with SAT Linear equation Quiz. This quiz will surely help you in checking your SAT preparation for Linear Equations and improves you in that topic. ...
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# Homework Help: Help with quotient space? 1. Aug 19, 2007 ### Coolphreak I just wanted to know if someone can explain to me the basic concept of a quotient space and quotient groups. 2. Aug 19, 2007 ### radou Well, let ~ be an equivalence relation on S. For some x from S, the equivalence class of x is the class ...
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# From the Relation R = R0a1/3, Where R0 is a Constant and a is the Mass Number of a Nucleus, Show that the Nuclear Matter Density is Nearly Constant (I.E. Independent of A). - Physics From the relation R0A1/3, where R0 is a constant and is the mass number of a nucleus, show that the nuclear matter density is nearly c...
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Published in: Mathematics 1,484 views • ### Vijay D • Navi Mumbai • 5 Years of Experience • Qualification: BE MECHANICAL • Teaches: Physics, Mathematics, Algebra • Contact this tutor • 1 • 2 Basics A quadratic equation is an equation equivalent to an equation of the type ax2 + bx + c = 0, where a is nonzero We can so...
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## Introductory Algebra for College Students (7th Edition) By inverting the divisor,$\frac{3}{4}$, and obtaining $\frac{4}{3}$ , we are writing the divisor’s reciprocal. Two fractions are reciprocals of each other if their product is 1
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1. Chapter 4 Class 12 Determinants 2. Serial order wise 3. Examples Transcript Example 24 If A = 1 3 3 1 4 3 1 3 4 , then verify that A adj A = |A| I. Also find A 1. Taking L.H.S A (adj A) First Calculating adj A adj A = A 11 A 21 A 31 A 12 A 22 A 32 A 13 A 23 A 33 Now, A = 1 3 3 1 4 3 1 3 4 M11 = 4 3 3 4 = 4(4) 3(3)...
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# Geometric Sequences Problems with Solutions Geometric sequences are used in several branches of applied mathematics to engineering, sciences, computer sciences, biology, finance... Problems and exercises involving geometric sequences, along with detailed solutions and answers, are presented. REVIEW OF GEOMETRIC SEQU...
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$\require{marginnote}\newcommand{\dollar}{\} \DeclareMathOperator{\erf}{erf} \DeclareMathOperator{\arctanh}{arctanh} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&}$ ## Section3.5Related Rates ###### Motivating Questions • If two quantities that are related, such as the radius and volume of a spherical b...
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## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition) $9.04 \times 10^{-4}$ RECALL: In the scientific notation $a \times 10^n$, the value of $a$ is greater than or equal to 1 but less than 10, while $n$ is an integer. Thus, to write $0.000904$ in scientific notation, do the following steps: (1)...
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# How to find the equation of a parabola with only 3 pts. 1. Jul 29, 2008 ### redretro If you have 3 points of a parabola that are'nt the vertex and the only other information you recieve is that the A.O.S is parallel to the y axis how would you acurately find the equation? Everytime I try, I always end up with odd ...
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Everipedia is now IQ.wiki - Join the IQ Brainlist and our Discord for early access to editing on the new platform and to participate in the beta testing. # Filter (mathematics) In mathematics, a filter is a special subset of a partially ordered set. Filters appear in order and lattice theory, but can also be found in...
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### 3.353 $$\int e^{-3 \coth ^{-1}(a x)} \sqrt{c-a c x} \, dx$$ Optimal. Leaf size=137 $-\frac{46 \sqrt{c-a c x}}{3 a^2 x \sqrt{1-\frac{1}{a x}} \sqrt{\frac{1}{a x}+1}}+\frac{2 x \sqrt{c-a c x}}{3 \sqrt{1-\frac{1}{a x}} \sqrt{\frac{1}{a x}+1}}-\frac{20 \sqrt{c-a c x}}{3 a \sqrt{1-\frac{1}{a x}} \sqrt{\frac{1}{a x}+1}}...
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# Trig Identity Question 1. Mar 30, 2012 ### KevinMWHM prove 1-(cos(x)+sin(x))(cos(x)-sin(x))=2sin^2(x) foil out the center I get 1-cos^2(x)-cos(x)sin(x)+cos(x)sin(x)+sin^2(x) the -cos(x)sin(x)+cos(x)sin(x) cancels to 0 leaving 1-cos^2(x)-sin^2(x) then I'm lost... I know I can switch 1-cos^2(x) to sin^2(x) but ...
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1. ## Solving Rational Inequalities I'm having a hard time solving this question: (2t-10)/t > t + 5 I multiplied by the squared lowest common denominator value and tried to solve for x, except that I cannot find any real solutions. I'm not sure what else to do? 2. ## Re: Solving Rational Inequalities $\frac{2t-10}{...
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# What is duality theorem in Boolean algebra? ## What is duality theorem in Boolean algebra? b) x • 0 = 0. Duality Principle. This principle states that any algebraic equality derived from these axioms will still be valid whenever the OR and AND operators, and identity elements 0 and 1, have been interchanged. i.e. c...
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Cody # Problem 233. Reverse the vector Solution 1223615 Submitted on 1 Jul 2017 by Salvatore Lacava This solution is locked. To view this solution, you need to provide a solution of the same size or smaller. ### Test Suite Test Status Code Input and Output 1   Pass x = 1; y_correct = 1; assert(isequal(reverseVecto...
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# Action-Reaction Forces (Simple Problems) 1. Homework Statement I promise - my last set of questions. 1. A hockey stick hits a puck on the ice. Identify an action-reaction pair, and compare the forces exerted by each object. a. The stick exerts a force on the puck; the puck exerts a force on the stick. b. The stic...
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## Fun Wave Eqn, Seperable Solution, Wave Guide 1. The problem statement, all variables and given/known data Boundaries at x=0,a y=0,b This is a waveguide. w = angular frequency and k is the wavenumber. Have the seperable solution to the wave equation. $\psi$ = X(x)Y(y)e$^{i(kz-wt)}$ Where w=c$\sqrt{k^{2}+\pi^{2}\le...
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### Introduction to Graphs - Worksheets CBSE Worksheet 01 Class 08 - Mathematics (Introduction to Graphs) General Instructions: All questions are compulsory. Q.1 to Q.2 carries one mark each. Q.3 to Q.7 carries two marks each. Q.8 and Q.9 carries three marks each. Q.10 to Q.12 carries four marks each. 1. What is the...
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# Search by Topic #### Resources tagged with Maths Supporting SET similar to The Power of Dimensional Analysis: Filter by: Content type: Age range: Challenge level: ### There are 68 results Broad Topics > Applications > Maths Supporting SET ### Constantly Changing ##### Age 14 to 16 Challenge Level: Many physica...
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Created By : Ashish Shirsalkar Reviewed By : Phani Ponnapalli Last Updated : May 08, 2023 Cups to Imperial Pints Conversion Calculator: There are 0.416337 imperial pints in an cups. To convert from cups to imperial pints multiply the value by 0.416337. All you need to do is simply enter the input cups value and hit ...
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# An approximate solution to an ODE I am interested in the ODE: $x^\prime = x^2 + t^2$ $x(0)=0$ The power-series method is not (easily?) applicable here. Do you have any suggestions how to solve it? - It is easier to get a polynomial approximation if instead of "plug, expand, equate coefficients" we use the Picar...
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Deriving a Quine in a Lisp As with my previous post, this post is another excerpt that will be included in my final Master’s thesis, but I decided it is interesting enough to post it on its own. We start with a definition of diagonalization (or quotation), as discussed in The Gödelian Puzzle Book: Definition 1: For ...
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Cody Problem 2023. Is this triangle right-angled? Solution 2054764 Submitted on 11 Dec 2019 by Gatech AE This solution is locked. To view this solution, you need to provide a solution of the same size or smaller. Test Suite Test Status Code Input and Output 1   Pass a = 3; b = 4; c = 5; flag_correct = true; assert...
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# Geometry posted by on . 1. An airplane is flying at 36,000 feet directly above Lincoln, Nebraska. A little later the plane is flying at 28,000 feet directly above Des Moines, Iowa, which is 160 miles from Lincoln. A.assuming a CONSTANT rate of descent, what was the angle of descent? B. What is the mileage of the pl...
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Sunday, November 20, 2011 How tall is Yertle the Turtle? That ego-maniacal Yertle, proclaiming himself king of all that he sees, calls for a stack of 500 turtles to sit upon. And now Yertle the Turtle was perched up so high, he could see forty miles from his throne in the sky So tell me: how tall is each turtle?  As...
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Last visit was: 10 Aug 2024, 20:34 It is currently 10 Aug 2024, 20:34 Toolkit GMAT Club Daily Prep Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. Customized for You we will pick new questio...
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 Which of the following integer values of n produce a perfect integer square for n^2+9n+14? #### Multiple Choice Question (MCQ) Which of the following integer values of n produce a perfect integer square for n^2+9n+14? 1. × 1 2. 2 3. × 5 4. × 36 Collected in the board: Perfect square integer Steven Zheng po...
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Hint: Represent two quantities in same unit in order to compare them. Question.1. If Rahul walks 9 km in a week and Vansh walks 900 m daily, which of these is true about the distances they cover in a week? (a) Vansh walks 7.2 km more than Rahul. (b) Vansh walks 2 km more than Rahul. (c) Rahul and Vansh both cover the...
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# Is it correct the approach of fractions in finding the weight of an object in another planet? The problem is as follows: A body has a weight of $$w$$ in the surface of the Earth. If the object is transported to a planet whose mass and radius is two times that of the Earth. Find its weight. $$\begin{array}{ll} 1.&4...
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You are on page 1of 25 # What is Calculus ? alculus is the mathematics for motion and change . Calculus was first invented to meet the mathematical needs of the scientists of the sixteenth and seventeenth centuries . There are two primary branches of calculus : Differential Calculus dealt with the problem of calculat...
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#### How To Do A Two Variable Sensitivity Analysis In Excel? We can use two variable sensitivity analysis to evaluate the validity of a matrix containing a range of values for two variables related to a goal. If you were interested in taking out a financial loan, you could use this function to model the possible mont...
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Upcoming SlideShare × # SIGNAL SPECTRA EXPERIMENT 1 - FINALS (for ABDON) 845 -1 Published on 0 Likes Statistics Notes • Full Name Comment goes here. Are you sure you want to Yes No • Be the first to comment • Be the first to like this Views Total Views 845 On Slideshare 0 From Embeds 0 Number of Embeds 0 Actions...
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Dots in Squares What pattern could be placed in the last square to complete the sequence? This image from https://drive.google.com/file/d/1W0A2E2GIwi6mq9b94FzA7PhfXCae-VPB/view originally created by Daniel Rudansky • Welcome to Puzzling! This looks like a puzzle you found elsewhere. For content you did not create yo...
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Telecom ABC - D # Decibel The bel (symbol B) expresses the ratio of two powers by the decimal logarithm of this ratio. This unit is not often used, having been replaced by the decibel (symbol dB) which is one-tenth of a bel. For example, if P1 and P2 are two powers, their ratio expressed in decibels is: 10 10log (P...
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# what is the difference between bounded and convergent? I know that bounded means to have an upper or lower bound. Let $$E \subset \mathbb{R}$$ be nonempty. 1. The set $$E$$ is said to be bounded above if and only if there is an $$M \in \mathbb{R}$$ such that $$a \leq M$$ for all $$a \in E$$, in which case $$M$$ is...
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<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" /> You are viewing an older version of this Concept. Go to the latest version. Complement Rule for Probability If P(A) is is the probability that event A happens then the probability that e...
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Question Video: Evaluating the Input of NAND Gates | Nagwa Question Video: Evaluating the Input of NAND Gates | Nagwa # Question Video: Evaluating the Input of NAND Gates The diagram shows a NAND gate. If input A is 1 and the output is 1, what is input B? 01:52 ### Video Transcript The diagram shows a NAND gate. I...
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# Find smallest and largest element from square matrix diagonals • Last Updated : 10 Aug, 2022 Given a square matrix of order n*n, find the smallest and largest elements from both diagonals of the given matrix. Examples: ```Input : matrix = { {1, 2, 3, 4, -10}, {5, 6, 7, 8, 6}, {1, 2, 11, 3, 4}, {5, 6, 70, 5, 8}, {...
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# Joji Popular questions and responses by Joji 1. ## Math Suki worked on math problems for 2hours on Monday , 2 hours on Tuesday, 2 hours on wednesday , 2 hours on Thursday , and 2 hours on Friday. How many hours did she study math in all? Answer : 5x2=10 Cashshews, brazil nuts, and peanuts originally grew in 2. ## ...
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# Line Graph: Exercise-2 #### Overview: Questions and Answers Type: MCQ (Multiple Choice Questions). Main Topic: Data Interpretation. Data Interpretation Sub-topic: Line Graph Questions and Answers. Number of Questions: 5 Questions with Solutions. Directions: Study the following graph carefully and answer the quest...
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## Precalculus (6th Edition) Published by Pearson # Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises: 60 #### Answer $\color{blue}{2m^3n^2\sqrt{6n}}$ #### Work Step by Step Factor the radicand so that at least one factor is a perfect square to obtain: $=\sqrt{4(6)(m^6)(n^4)(n)} \\=\s...
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PDA View Full Version : vetors, angles, YPR mogu 10-04-2001, 08:03 AM Been some years since i last did this sort of calculations, so please help. I have a vector that is normalized(-0.70016, -0.140028, -0.70016). This is the sun looking down on the ground. I want to place my camera in the suns position, and look dow...
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• 0 Newbie # The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2:3. Determine the fraction. • 0 An Important question based on Linear Equations in two Variables Chapter of R.S Aggarwal book for ICSE & ...
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# [PDF] differentiating inverse trig functions PDF ## Math 1. differentiating inverse trig functions 2. differentiating inverse trig functions worksheet 3. differentiating inverse trigonometric functions quiz 4. differentiating inverse trig functions pdf 5. differentiating inverse trig functions exam solutions 6. dif...
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# Free Basic Arithmetic - 03 Practice Test - CAT Which is the least number, which when subtracted from both the numerator and the denominator of the ratio 8070, gives 1311? A. B. 10 C. 15 D. 20 #### SOLUTION Solution : C Solving conventionally, Let x be the required number 80x70x=1311 880 – 11x = 910 – 13x 2x ...
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Sunday, 3 June 2018 Daily Numerical Ability Quiz : 4th June 2018 Directions (Q1 - 5): - Study the information carefully and answer the following questions. There are 2400 students in a school which has five classes i.e. sixth to tenth. Number of girls in seventh class is 50% more than number of boys in sixth class w...
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# Was solving this problem but dont know how to comeup with recursive function for this tree problem Given a tree containing A nodes rooted at node 1 . Find the minimum value of the sum of Distance(1, i) where i varies from 1 to A using atmost C operations. In other words, find the minimum value of Distance(1, 1) + D...
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# What's the "simplest" equation with only rational coefficients that produces a graph with no two rational coordinates What's the "simplest" equation with only rational coefficients that produces a graph with no rational coordinates? Obviously I haven't precisely defined "simple" so any answer will have to either spe...
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# Lesson 3 Tangent Lines • Let’s explore lines that intersect a circle in exactly 1 point. ### 3.1: Swim to Shore Line $$\ell$$ represents a straight part of the shoreline at a beach. Suppose you are in the ocean at point $$C$$ and you want to get to the shore as fast as possible. Assume there is no current. Segmen...
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# 5523 (number) 5,523 (five thousand five hundred twenty-three) is an odd four-digits composite number following 5522 and preceding 5524. In scientific notation, it is written as 5.523 × 103. The sum of its digits is 15. It has a total of 3 prime factors and 8 positive divisors. There are 3,144 positive integers (up t...
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Constrainted optimization involving logarithms The problem is to minimize $f(x_1, x_2 ,x_3, x_4):= - \Big[ \log ({\frac{1}{4} + x_1}) + \log ({\frac{1}{2} + x_2})+ \log ({\frac{1}{5} + x_3})+ \log ({\frac{3}{4} + x_4}) \big]$ such that $x_1 +x_2 +x_3 +x_4 =1, \quad x_i \geq 0$. I formulated the Lagrangian $L(x, \la...
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+0 # Find the center of-4x^2 + y^2 - 2y = 3. +1 54 1 +428 Find the center of -4x^2 + y^2 - 2y = 3. waffles  Nov 20, 2017 Sort: #1 +79835 +2 -4x^2 + y^2 - 2y  = 3 Rewrite as y^2 -2y  - 4x^2  = 3     comlplete the square on y y^2 - 2y + 1  -  4x^2  =  4       factor the frst three terms (y - 1)^2   - 4x^2  = 4 ...
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# DOF comparison between two lenses Someone told me: To compare the amount of DOF of two lenses I just would need to calculate the size of the entrance pupil. The lens with the bigger entrance pupil has less DOF thus creates nicer backgrounds. (read my thoughts about the focus distance - which is totally neglected -...
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A nice thinker from Futility Closet: A rail one mile long is lying on the ground. If you push its ends closer together by a single foot, so that the distance between them is 5279 feet rather than 5280, how high an arc will the rail make? Feel free to have a go yourself! Spoilers below the line. Assuming the rail for...
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# Topology question • Jan 19th 2009, 05:07 PM spoon737 Topology question I'm trying to teach myself topology from Munkres' book (first edition, it's over 30 years old!) and it's going very slowly. I'm having some difficulty proving the following: Let $\displaystyle \{T_\alpha\}$ be a collection of topologies on $\dis...
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# How do you solve 6x^2 + 13x = 5 by completing the square? Aug 1, 2016 $x = \frac{1}{3} , \mathmr{and} x = - \frac{5}{2}$ #### Explanation: For ease of explanation - remember that the general form of a quadratic is $\textcolor{red}{a} {x}^{2} + \textcolor{b l u e}{b} x + \textcolor{m a \ge n t a}{c}$ $\textcolor{...
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Sequences with multiple limit points Is it correct to say that the sequence $\left<(-1)^nn\right>$ tends to both $\infty$ and $-\infty$, since it eventually alternately approaches (oscillates between) $\infty$ and $-\infty$? Or should I instead say that the sequence $\left<(-1)^nn\right>$ tends to neither $\infty$ an...
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1,183 Pages A sequence is an ordered set of objects. A sequence that goes on forever is called an infinite sequence, whereas one that does not is called a finite sequence. The sum of a sequence is called a series. Sequences are usually denoted as with being the term number and being the bounds of the series, and bei...
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# How do you factor by grouping 12x^2+29x+15? Sep 4, 2016 $= \left(3 x + 5\right) \left(4 x + 3\right)$ #### Explanation: $12 {x}^{2} + 29 x + 15$ $= 12 {x}^{2} + 20 x + 9 x + 15$ $= 4 x \left(3 x + 5\right) + 3 \left(3 x + 5\right)$ $= \left(3 x + 5\right) \left(4 x + 3\right)$
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## Worksheet on Factoring Identities | Factoring Polynomials using Algebraic Identities Worksheets For a better practice and to get full of knowledge on Factoring Polynomials Using Algebraic Identities, use Worksheet on Factoring Identities. To grade up your preparation level, we are providing a number of examples on ...
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# 13.1: Coefficient of Expansion $$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\new...
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# Predicate Logic Second Term Fourth Year (10 CS) 1. ## Presentation on theme: "Predicate Logic Second Term Fourth Year (10 CS) 1."— Presentation transcript: Predicate Logic Second Term Fourth Year (10 CS) 1 In this course, we shall only study First order Logic (FOL) Predicate Calculus Predicate Calculus First-Order...
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Home / calculator math worksheets / Calculator Common Logarithm: S1 - Math Worksheets 4 Kids # Calculator Common Logarithm: S1 - Math Worksheets 4 Kids - calculator math worksheets Name : Score : Logarithm - Calculator Common Logarithm: S1 A) Find the value of each logarithm using calculator. Round the answer to two ...
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# eigenvalue calculator symbo are a 1 = –2 and a 2 = –3. Find more Mathematics widgets in Wolfram|Alpha. To create your new password, just click the link in the email we sent you. image/svg+xml. The generalized eigenvalue problem is to determine the solution to the equation Av = λBv, where A and B are n-by-n matrices,...
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Categories # The tortilla wrap The edge of a circle is folded to touch a diameter. The tangency point lies 2 from the centre. Given that the fold has length 4, what was the circle area before folding? Scroll down for a solution to this problem. ## Solution The circle area is 20π/3. Let’s solve for the general cas...
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# Section 3.1 - PowerPoint PPT Presentation Section 3.1 1 / 9 Section 3.1 ## Section 3.1 - - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - - ##### Presentation Transcript 1. Section 3.1 Maximum and Minimum Values 2. ABSOLUTE MINIMUM AND ABSOLUTE MAXIMU...
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• ㊗️ • 大家 • offer • 多多! ## Problem Given a string expression representing an expression of fraction addition and subtraction, return the calculation result in string format. The final result should be an irreducible fraction. If your final result is an integer, change it to the format of a fraction that has a denomi...
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# How do you find the derivative of (ln tan(x))^2? Mar 22, 2015 How? Use the chain rule -- twice. And simplify the answer. (Often simplifying is the tricky part.) The derivative of some stuff squared is two times the stuff, times the derivative of that stuff. Formally : the derivative of ${\left[g \left(x\right)\rig...
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