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Sum of Reciprocals of Cubes of Odd Integers Alternating in Sign Theorem $\displaystyle \sum_{n \mathop = 0}^\infty \dfrac {\paren {-1}^n} {\paren {2 n + 1}^3}$ $=$ $\displaystyle \frac 1 {1^3} - \frac 1 {3^3} + \frac 1 {5^3} - \frac 1 {7^3} + \cdots$ $\displaystyle$ $=$ $\displaystyle \frac {\pi^3} {32}$ Proof $\d...
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# Which is bigger: $(\pi+1)^{\pi+1}$ or $\pi^{\pi+2}$? I've been struggling for a while with the following problem: Which is bigger: $(\pi+1)^{\pi+1}$ or $\pi^{\pi+2}$? Needless to say software aid is not allowed. All manual calculations should be possible to be performed in reasonable time (for example, I did read ...
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## FIND THE VOLUME OF A CONE 0F DIAMETER 14M AND HEIGHT 21CM. (TAKE = 3 ) Question FIND THE VOLUME OF A CONE 0F DIAMETER 14M AND HEIGHT 21CM. (TAKE = 3 ) in progress 0 1 week 2021-09-13T21:31:43+00:00 1 Answer 0 343π Step-by-step explanation: To find the volume of a cone, we have to use this formula × π × r² × h...
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# 337 centimeters in miles ## Conversion 337 centimeters is equivalent to 0.00209402091783982 miles.[1] ## Conversion formula How to convert 337 centimeters to miles? We know (by definition) that: $1\mathrm{cm}\approx 6.2137119e-06\mathrm{mile}$ We can set up a proportion to solve for the number of miles. $1 ⁢ cm...
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12,827,730 members (44,583 online) Rate this: See more: I am trying to write an algorithm that calculates the minimum number of "notes", or currency needed to get to a value. The most obvious way is to just say: var notes = []; while (val != 0) { //loop through array of possible notes for (note in noteArray) { if (not...
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### 3.1486 $$\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^3 \, dx$$ Optimal. Leaf size=92 $\frac{e^2 (a+b x)^9 (b d-a e)}{3 b^4}+\frac{3 e (a+b x)^8 (b d-a e)^2}{8 b^4}+\frac{(a+b x)^7 (b d-a e)^3}{7 b^4}+\frac{e^3 (a+b x)^{10}}{10 b^4}$ [Out] ((b*d - a*e)^3*(a + b*x)^7)/(7*b^4) + (3*e*(b*d - a*e)^2*(a + b*x)^8)/(8*b^4) + (...
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# Search by Topic #### Resources tagged with Quadratic equations similar to Fibonacci Deduction: Filter by: Content type: Stage: Challenge level: ### Darts and Kites ##### Stage: 4 Challenge Level: A rhombus PQRS has an angle of 72 degrees. OQ = OR = OS = 1 unit. Find all the angles, show that POR is a straight li...
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Algebra posted by . 4x^4-18x^2=0. I have to find out what x equals by factoring. What I did was Factor 2x^2(2x^2+-9)=0 then 2x^2(2x+3)(x+-3), resulting in -1.5 and three. But these answers are wrong according to my book. Can you show me step by step how to do this correctly? It would be a huge help! • Algebra - Th...
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Solution For Minimum Time To Complete Trips Problem: You are given n trips (numbered from 0 to n-1) and a 2D array trips where trips[i] = [startTime_i, endTime_i, passengersCount_i] indicates that the ith trip started at startTime_i and ended at endTime_i with passengersCount_i passengers. You have a train that can ...
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math 4. For the curve with y = -2x3 + x - 6, find: (b.) the gradient at the point (-1, -5) (c.) the equation of the tangent line at the point (-1, -5). 1. 👍 0 2. 👎 0 3. 👁 65 1. y = -2x^3 + x - 6 dy/dx = -6x + 1 at (-1,-5), dy/dx = -6(-1) + 1 = 7 so y = -7x + b at (-1,-5) -5 = -7(-1) + b b = -12 equation of ta...
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# Thread: Partial & Implicit Problem ! Help ! 1. ## Partial & Implicit Problem ! Help ! 2. For the first $\frac{1}{R} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}} + \frac{1}{{{R_3}}} = \frac{{{R_1}{R_2} + {R_1}{R_3} + {R_2}{R_3}}} {{{R_1}{R_2}{R_3}}} \Leftrightarrow R = \frac{{{R_1}{R_2}{R_3}}} {{{R_1}{R_2} + {R_1}{R_3} ...
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# Game on (25 March) I cleared the Spade suit in order to tidy the suits up (e.g. K-Q of hearts and K-Q of Spades). I then turned over the last card in Column 1, and it is the Ten of spades. ## Good Luck at Last At last we get a good card. We can start turning over cards in columns 4 5, or 6. We also have a most un...
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What does it say about a multivariate polynomial to be zero on a linear subspace? If I univariate polynomial $f(x)$ that vanishes at a point $x_0$, we conclude that $x - x_0$ divides $f(x)$, and in particular that $f$ is reducible if $\deg f > 1$. Can anything of significance be said if a multivariate polynomial $g : ...
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# Use MATHEMATICA to calculate the volume of the solid [duplicate] Use MATHEMATICA to calculate the volume of the solid that results when the region enclosed by the given curves is revolved about the x- axis. f(x)=Pi^2 Sin[x] Cos[x]^3, f(x)= 4 x^2 x=0, x=Pi/4 • Please post your ideas and tell us where you got stuck. ...
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# AP Calculus AB : Points of inflection ## Example Questions ← Previous 1 ### Example Question #1 : Points Of Inflection Find the points of inflection of Possible Answers: There are no points of inflection. Correct answer: Explanation: We will find the points of inflection by setting our second derivative to z...
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Explore BrainMass Share # Waiting line problems This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here! Waiting Lines and Queuing Theory Models Q14-23 Bill First, general manager of Worthmore Department Store, has estimated that every hour of customer time spent ...
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1 / 26 Measurment - PowerPoint PPT Presentation Measurment. Science 8 Ms. Drake Brookville Intermediate School. Measurement. A way to describe objects and events with numbers; quantitative description. Standards of measurement needed to be universal; they need to be agreed upon by people all over the world. I am the...
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# Make a thermochemical equation for the combustion of coal (carbon), if it is known Make a thermochemical equation for the combustion of coal (carbon), if it is known that the combustion of 60 g of carbon released 1967.5 kJ of heat Given: m (C) = 60 g Q1 = 1967.5 kJ Find: Thermochemical equation -? Solution: 1) Us...
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If A and B are a non-zero integer of an integral domain then it is said that: • A divides B. • A is a divisor of B. • or, B is a multiple of A. and, this is written as A/B if there exists an integer K, such that AK = B. For Example, 8 is a divisor of 48 because 8 x 6 = 48, so it can be said that 48 is divisible by 8 ...
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### Home > APCALC > Chapter 2 > Lesson 2.2.3 > Problem2-81 2-81. A helium balloon is released from the ground and floats upward. The height of the balloon is shown at the following times: Time (s) $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$ Height (feet) $0$ $50$ $98$ $144$ $188$ $230$ $270$ $308$ $344$ $378$ $410...
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+0 # help 0 104 1 Say you have 6 apples and 7 oranges. You put them in a bag, and pull one out. The odds of taking an apple is 6/13. Now imagine that you randomly take one fruit out of the bag, but you don't look at it. You then take out a second piece of fruit. What are the chance that the second fruit is an orange...
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typodupeerror ## JournalChacham's Journal: Puzzle: Section I: Paradoxes and dilemmas2 Just scanned this in, and needed only a little fixing. ----- Chapter 16 LOGICAL PUZZLES A logical puzzle requires to a special degree the "flash of insight" that is characteristic of all intellectual problem-solving. The solution...
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# Use of Decimal in Calculating Money – Importance, Examples | How do you use Decimals in Money? We are all familiar with counting money. Students need to know how to calculate the money from now itself. Because it is very important in day to day life. We use decimals every day in different types like money, weight, l...
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April 21, 2024 Complete News World # Futurama Theory: In my friend’s body ### The solution is in sight! In the series, it is better to save the heroes from the “Globetrotters”: talented basketball players with brilliant scientific skills. In Bender’s Body, Professor Farnsworth watches with admiration two players, S...
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You are here: HomeExcelTutorials # convert fractions to decimals and decimal to fraction ## convert fractions to decimals and decimal to fraction Price: FREE I know that if I enter =3/4 in a cell it will give me .75 but is there is formula to convert fractions into decimals or is this the best way to do it? I was a...
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# Probability of Uncorrelated Events Dear Experts: I have what I think are a couple of basic probability questions that I can't get my head around.  I don't know anything about statistics, so bear with me. Here's my question:  assume that are four independent, uncorrelated events, each of which has a 25% chance of o...
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Essay Writer » Essay Blog » Computer Science Essays Help » Data Structures and Algorithm Analysis # Data Structures and Algorithm Analysis Show that the solution to the recurrence T(n) = T(n/4)+T(3n/4) + cn, where c is a constant, is Omega of Ω( nlogn ) by using a recursion tree. Draw the recursion tree and show how ...
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# Cuboid In geometry, a cuboid is a hexahedron, a six-faced solid. Its faces are quadrilaterals. Cuboid means "like a cube", in the sense that by adjusting the lengths of the edges or the angles between faces, a cuboid can be transformed into a cube. In mathematical language a cuboid is a convex polyhedron whose polyh...
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Learning Library # Calorimetry: Bomb Calorimeter Experiment In food, intrinsic energy is measured in Calories, with a capital C. A Calorie is 1000 calories, with a lower case c. A calorie is the amount of energy it takes to heat 1 gram of water 1 degree Celsius. Our bodies are burning up large amounts of energy from ...
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# Trigonometric identity In my book, (cos4x)^2 is written 1+cos8x without refering to any formula. Which trig. identity is used here? cristo Staff Emeritus Try looking at the identity for cos(2x) The correct identity is (cos4x)^2 = (1+cos8x)/2 . Try looking at the identity for cos(2x) You mean cos(2x) = (cosx)^2 -...
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x Turn on thread page Beta You are Here: Home # Ideal gas equation watch 1. I have this multiple choice question for homework. I used the ideal gas equation to work out the number of moles that were in each answer but I did not get the right answer. The correct answer and how to do to it would be appreciated. Which...
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$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$...
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Strength of condition on the structure of a linear map Let $U, X$ be vector spaces and $f: U \rightarrow X$ be a linear map. Let $X= X_1 \oplus \cdots \oplus X_r$, where $X_i$ is subspace of $X$. Let $\pi_i : X \rightarrow X_i$ be the projection onto $X_i$. How strong a condition is to assume that $\pi_i \circ f (U) \...
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SchoolFamily Voices Connie McCarthy is passionate about her work as a teacher of young children. She has devoted her entire career to making sure that her students do well at school, right from the start. Connie has an undergraduate degree in Elementary Education, and a Master’s Degree in Special Education. She has be...
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Friday May 6, 2016 # Homework Help: Science Posted by Brooke on Tuesday, November 28, 2006 at 9:52pm. What is the full formula for frequencys and wavelengths? The wavelength formula is λ = v/f where λ = wavelength of a sound wave or electromagnetic wave v = the speed of propagation of the wave, f = frequency of the...
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# Question: What rate of interest compounded annually is required to triple an investment calculator? Contents ## What annual rate of interest compounded annually is required to double an investment in 12 years? To use the Rule of 72 in order to determine the approximate length of time it will take for your money to...
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# 2004 IMO Problems/Problem 1 ## Problem Let $ABC$ be an acute-angled triangle with $AB\neq AC$. The circle with diameter $BC$ intersects the sides $AB$ and $AC$ at $M$ and $N$ respectively. Denote by $O$ the midpoint of the side $BC$. The bisectors of the angles $\angle BAC$ and $\angle MON$ intersect at $R$. Prove ...
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# How many bloggers were on the team? A bloggers' team needs to process two video files: one twice the size of the other. In the first half of the night, the whole team worked on the large video file. Then, after midnight, they split into two equal parts (split in half): • the first half of team continued to work on...
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Since 4 is evenly split by 12, we can multiply simply one hatchet to gain a usual denominator. You are watching: 7/12-1/4 Multiply 1 by 3, and also get 3, then we multiply 4 through 3 and also get 12. So currently our fountain look prefer this: 7 12 +3 12 ## Step 2 Since our platform match, us can add the numera...
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CENTROIDS by Keisha For this problem, we want look characteristics of a centroid. So we will start out by making an acute triangle. Now, we need to construct the midpoints of the triangle. Next, each vertex of the triangle ABC will correspond its opposite midpoint hence creating the medians. For example, point d w...
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# Write the value of x for which Question: Write the value of x for which (x + 2), 2x, (2x + 3) are three consecutive terms of an AP? Solution: Since (x + 2), 2x and (2x + 3) are in AP, we have: $2 x-(x+2)=(2 x+3)-2 x$ $\Rightarrow x-2=3$ $\Rightarrow x=5$ $\therefore x=5$
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# logarithm  13 results logarithm - the exponent or power to which a base must be raised to yield a given number A person places \$230 in an investment account earning an annual rate of 6.8%, compounded continuousl A person places \$230 in an investment account earning an annual rate of 6.8%, compounded continuously....
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# Journeying Across the Mathematical Universe Charlie Ahrendts When we think about something that is universally true, mathematics is one thing that often comes to mind. No discussions or interpretations, we can prove everything to be either wrong or right… or can we? The bad news is, that is in fact not that simple....
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# The image of an object is formed behind a concave mirror, is virtual and is larger in size. where is the object located? 1. at 2F 2. Between F and 2F 3. At Principal Focus (F) 4. Between Principal Focus (F) and Pole (P) ## Answer (Detailed Solution Below) Option 4 : Between Principal Focus (F) and Pole (P) ## Det...
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Mathematica 教程 Local Constants With[{x=x0,y=y0,...},body] define local constants x, y, ... Defining local constants. Module allows you to set up local variables, to which you can assign values and then change them. Often, however, all you really need are local constants, to which you assign a value only once. The ...
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College Physics for AP® Courses 2e # Test Prep for AP® Courses College Physics for AP® Courses 2eTest Prep for AP® Courses ## 20.1Current 1. Which of the following can be explained on the basis of conservation of charge in a closed circuit consisting of a battery, resistor, and metal wires? 1. The number of elect...
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+0 # Given that ​ is a prime number, evaluate 0 469 4 Given that $$p\ge 7$$ is a prime number, evaluate $$1^{-1} \cdot 2^{-1} + 2^{-1} \cdot 3^{-1} + 3^{-1} \cdot 4^{-1} + \cdots + (p-2)^{-1} \cdot (p-1)^{-1} \pmod{p}.$$ Jul 8, 2017 #1 +7076 0 $$1^{-1}\cdot 2^{-1} + 2^{-1} \cdot 3^{-1} +... + (p-2)^{-1}\cdot (p-1...
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online user counter MATHMAA # 16th KVJ Solutions8 Here you find the solutions of  16th KVJ Solutions8 in detail explanation 8Q) (a) Two parallel chords in a circle have lengths 10cm an 14cm and distance between them is 6 cm. If a chord parallel to these chords and midway between them is length √a, find the value of...
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# Derivative theorem Orion1 Any calculus researchers interested in disproving this theorem with some simple integers? Orion1 derivative integer factorial theorem: $$\frac{d^n}{dx^n} (\ln x) = (-1)^{n + 1} \frac{(n - 1)!}{x^n}$$ Is this theorem correct? Last edited: Is this homework? You can prove it by combining ...
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Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ ° You are not logged in. | Options krassi_holmz 2006-03-08 17:03:33 Or you can multiply 20 by 0.08. mathsyperson 2006-03-08 11:54:34 #### rickyoswaldiow wrote: beat ya mathsy Yes, you're 3 seconds fas...
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# math posted by . A woman 5 ft tall is standing near a street lamp that is 12 ft tall. Find a function that models the length L of her shadow in terms of her distance d from the base of the lamp. • math - This one's kind of pretty. I first thought we'd be into sin and trig country, but we don't have to. But you ha...
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# Calculus: AP Edition, 2nd edition • WILLIAM L. BRIGGS • Lyle Cochran • Bernard Gillett • Eric Schulz ## Overview For courses in Calculus. Covers the most recent AP exam guidelines, including the new Mathematical Practices for AP Calculus In Calculus: AP Edition, 2nd Edition, well-known authors Briggs and Cochran...
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August 08, 2003 Does not compute The designers of the new Texas Assessment of Knowledge and Skills (TAKS) test have admitted that they screwed up on one of the 10th grade math tests, though it appears from their explanation that they still don't fully grasp the nature of their screwup. Here's the problem they presente...
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# K distinct items into N distinct containers I am fairly new to the field of combinatorics and was solving a problem from our text book which wanted us to find in how many ways we could arrange 15 books on two different shelves, where each shelf has to have at least one book on it. The solution to the problem was rat...
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If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Lesson 2: Intro to subtracting negative numbers Learn how to add and subtract negative numbers. Th...
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#### What is 665 percent of 81? How much is 665 percent of 81? Use the calculator below to calculate a percentage, either as a percentage of a number, such as 665% of 81 or the percentage of 2 numbers. Change the numbers to calculate different amounts. Simply type into the input boxes and the answer will update. ## 6...
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Addition-Subtraction Multiplication - Division Equal Fractions Comparison 3/2+5/2 4 4*3/8 3/2 4/5 and 20/25 yes ### 100 5/3 is ..........than 1 greater 1/5+3/7 22/35 2:(10/7) 7/5 10/4 and 4/10 no ### 200 29/30 is ........than 1 less 4+8/3-5/6 35/6 (2^4:8):(1/4) 8 ### 300 3/4 is ...............th...
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1. ## Taylor series: (cos(2x)-1)/x² How come we can compute the Taylor series for the function below about x = 0, despite the fact that it is not defined at x = 0? $\frac {\cos (2x) -1 }{x^2}$ 2. ## Re: Taylor series: (cos(2x)-1)/x² How come we can compute the Taylor series for the function below about x = 0, despi...
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Friday, April 12, 2024 Home > IIT JEE Main and Advance > JEE Main Math Previous Year Papers Vectors Questions Answer Keys Solutions # JEE Main Math Previous Year Papers Vectors Questions Answer Keys Solutions Welcome to AMBiPi (Read as: एम्बीपाई) (Amans Maths Blogs). JEE Mains and JEE Advanced exams are the engineeri...
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# CH-205: Fluid Dynamics Save this PDF as: Size: px Start display at page: ## Transcription 1 CH-05: Fluid Dynamics nd Year, B.Tech. & Integrated Dual Degree (Chemical Engineering) Solutions of Mid Semester Examination Data Given: Density of water, ρ = 1000 kg/m 3, gravitational acceleration, g = 9.81 m/s Question ...
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# Area of Rectangles and Parallelograms In life, we measure many things for different reasons. For example, a carpenter is going to install a new floor in a kitchen. The carpenter needs to measure the length and width of the kitchen to find the area. The carpenter wants to order the right amount of flooring. Thus, the...
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# Tax Rate, Levy, Assessment ## Relationship of Tax Rate, Tax Levy, and Assessment This article attempts to explain in very basic terms the relationship between Tax Levy, Tax Rate, and Assessed  Value. The Tax Levy is the amount of money the elected board members of the various taxing bodies listed on your tax bill r...
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# Ten people land on a deserted island. There they find lots of coconuts and a monkey. During their first day they gather coconuts and put them all in a community pile. After working all day they decide to sleep and divide them into ten equal piles the next morning. That night one castaway wakes up hungry and decides t...
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# Third law of motion is so confusing According to Newton's third law, whenever objects A and B interact with each other, they exert equal and opposite forces upon each other. I have always struggled with how to apply this law to problems and real life. Suppose I get a pull from my friend with some force, then I get ...
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# Receiver Operating Characteristic (ROC) curve chart for CART® Classification The procedure for the points on the ROC curve depends on the validation method. For a multinomial response variable, Minitab displays multiple charts that treat each class as the event in turn. ## Training data set or no validation For th...
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## Derivation of Average Speed of Gaseous Molecules We can start by analyzing equation #15 from the Derivation of Ideal Gas Law below: $P=\frac{N}{V}\frac{m\overline{v^2}}{3}=\frac{N}{V}\frac{2E_{kinetic}}{3}=\frac{N}{V}kT=\frac{NkT}{V}$ Because we want to derive the equation to the speed of gaseous molecules, the m...
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# Find the values of a if 2a - 5 <  5(a-1) We have to solve 2a-5 <  5(a-1) for a. 2a-5 <  5(a-1) open the brackets => 2a - 5 < 5a - 5 => 2a - 5a < -5 + 5 => -3a < 0 => -a < 0 => a > 0 Therefore a > 0 Approved by eNotes Editorial Team Given the inequality: 2a -5 < 5 (a-1) We need to find all values of a tha...
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# Elements of geometry, containing books i. to vi.and portions of books xi. and xii. of Euclid, with exercises and notes, by J.H. Smith Rivingtons, 1878 - 349 sider ### Hva folk mener -Skriv en omtale Vi har ikke funnet noen omtaler på noen av de vanlige stedene. ### Populære avsnitt Side 51 - All the interior ang...
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Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ ° You are not logged in. ## #1 2006-03-22 22:12:40 coolwind Member Offline ### How to use DeMoivre's formula? Use it to evaluate (3/5+j4/5)^100 ? Thaks~~ ## #2 2006-03-22 23:40:34 George,Y Super Memb...
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# Limit of a sequence (definition) Let $$(a_n)_{n \in \mathbb{N}}$$ be a sequence. According to the definition of limit, it is said that $$\lim_{n \rightarrow \infty} a_n=L \Leftrightarrow \left(\forall \varepsilon>0, \ \exists n_0 \in \mathbb{N}, \ n \ge n_0 \Rightarrow \left|a_n-L \right|<\varepsilon \right).$$ Ab...
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# M.-Alam - statru.org ```Welcome To BASIC CONCEPT OF PROBABILITY Probability– Models for random phenomena DEPARTMENT E-mail: [email protected] OF STATISTICS Tel: +88-0721-750041/4122 DR. MD. MESBAHUL ALAM, ASSOCIATE PROFESSOR 2 Phenomena Non-deterministic No mathematical model exists that allows perfect prediction of...
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### Present Remotely Send the link below via email or IM Present to your audience • Invited audience members will follow you as you navigate and present • People invited to a presentation do not need a Prezi account • This link expires 10 minutes after you close the presentation • A maximum of 30 users can follow yo...
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• Grade 8 Module 4: Linear Equations. In Module 4, students extend what they already know about unit rates and proportional relationships to linear equations and their graphs. Students understand the connections between proportional relationships, lines, and linear equations in this module. • Interpret the equation y =...
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20190916 Online reading assignment: applications of Newton's laws (friction) Physics 205A, fall semester 2019 Cuesta College, San Luis Obispo, CA Students have a bi-weekly online reading assignment (hosted by SurveyMonkey.com), where they answer questions based on reading their textbook, material covered in previous...
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# Question 33a3c Aug 26, 2016 Well. #### Explanation: There is only a downward force and no upward force so we will focus there. $\sum {F}_{x}$ = $m \cdot g \cdot \sin \theta + 26.0 N - {f}_{k}$ $\sum {F}_{x}$ = $9 k g \cdot 9.8 \frac{m}{{s}^{2}} \cdot 0.54 + 26.0 N - \left[0.3 \cdot 9 k g \cdot 9.8 \frac{m}{{s}^{...
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# Multiplying and Dividing Mixed Numbers Lesson ## Remember? When we multiply fractions by the rule, we are able to multiply our numerators together, and multiply our denominators together. When we have mixed fractions, we can express them as improper fractions first, and then we are able to multiply them by the rul...
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The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A272066 a(n) = (10^n-1)^3. 8 0, 729, 970299, 997002999, 999700029999, 999970000299999, 999997000002999999, 999999700000029999999, 999999970000000299999999, 9999999970000000...
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# Coordinate Geometry-12 Find the equation of the locus of the point, such that its distance from the two points (0, a) and (0, -a) are equal. Solution: Let A be the point (0, a) and B be the point (0, -a). Let P(x, y) be any point on the locus. Therefore, PA = PB [ √(x - 0)2 + (y - a)2 ] = √[ (x - 0)2 + (y + a)2 ] ...
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hosted by the Harvey Mudd College Math Department created, authored and ©1999-2010 by Francis Su The Math Fun Facts App! List All : List Recent : List Popular About Math Fun Facts / How to Use Contributors / Fun Facts Home © 1999-2010 by Francis Edward Su From the Fun Fact files, here is a Fun Fact at the Medium lev...
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Alberta Williams I like to write about JavaScript and web development. My interests include artificial intelligence, games, and math. Learn more about me at roboberta.com. # Getting started with recursion for tree traversal Have you ever encountered a problem you felt could be solved with recursion, except you didn’t...
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# Field Strength calculations with known antennas I can receive a calibrated decibel milliwatt signal level from the output of any antenna at a given frequency. With a given antenna gain (dbi) in the direction I want to receive the signal (including a 1/4 wave vertical or a loopstick antenna etc...), how can I calcul...
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How to Convert Bytes/second to T1 (signal) | Data Transfer Rate Units To convert bytes/second to T1 (signal), one essential parameter is needed: Unit Value. The formula for converting bytes/second to T1 (signal): 1 Byte/second = 0.0000051813471496 T1 (signal). Let’s solve an example; Find the conversion of bytes/se...
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# Fresh juice The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the juice into your own container. When you buy 6 liters of...
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# Algebra ## Solving Equations for GCSE Maths Solving equations means finding the value of the number represented by a letter in an equation, so your final answer will look something like: x = 4. The method we use is often called the balance method. Simply imagine the equation as a set of old fashioned scales, with t...
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1. ## combinatorial identity problem Suppose that n people are gathered for a game requiring two teams each with k players. assume 2k <= n. 1 team wear red shirts and the other team will wear blue shirts. the n-2k people not on either team will just watch. we can choose the teams in either of 2 ways. 1 choose k player...
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# if two vectors P and Q acting at a point have the resultant of magnitude root 3Q making an angle 30 degree with the direction of P then P:Q is? dhruba 17 Points 2 years ago i hope u could make the figure there u can see that the angle between p vector and resultant vector equals 30 degree as given now complete the p...
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# Measure (mathematics) related topics {math, number, function} {rate, high, increase} {style, bgcolor, rowspan} {acid, form, water} In mathematics, more specifically in measure theory, a measure on a set is a systematic way to assign to each suitable subset a number, intuitively interpreted as the size of the subse...
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# 100 Sided Polygon by -21 views Take the hundreds digit find it on the column for ones digits then stick a hecta to its right. 63 5 5 bronze badges. 12 Sided Polygon Polygon Dodecagon Circle ### If the answer is not available please wait for a while and a community member will probably answer this soon. 100 sided...
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# Amp Hour Calculator (Capacity Of Your Batteries) When it comes to understanding battery capacity, amp hours (Ah) are one of the most important things to know about. An amp hour is the amount of energy that 1 amp can discharge in 1 hour. It is used when talking about energy storage, hence why it is vital when dealin...
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## Monthly/Yearly CAGR Calculator Calculating the annual or monthly rate of Compound Annual Growth can be complex, so we have developed the tool to end the hard times you have in calculating this fact. In this segment, we will tell you how you can use the monthly/yearly CAGR calculator in exact and extreme detail. S...
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# Bellman-Ford Algorithm with Example (8615 Views) Bellman Ford is an algorithm used to compute single source shortest path. This means that starting from a single vertex, we compute best distance to all other vertices in a weighted graph. This is done by relaxing all the edges in the graph for n-1 times, where n is ...
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# Motion in Vertical Circle Science > You are Here • When studying the motion of a body in a vertical circle we have to consider the effect of gravity. • Due to the influence of the earth’s gravitational field, the magnitudes of the velocity of the body and tension in the string change continuously. It is maximum at ...
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# Difference Between Arithmetic and Geometry Arithmetic and geometry are two branches of mathematics that have been studied for thousands of years. Arithmetic is concerned with the study of numbers and the basic operations of addition, subtraction, multiplication, and division. Geometry deals with the study of shape...
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# How Does the Average Speed of Light in Glass Compare With Its Speed in a Vacuum? The speed of light in glass is slightly lower than the speed of light in vacuum. Galileo was the first person who took an attempt to measure the speed of light. Speed of light is the speed at which the waves propagate through different ...
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#### What is 71.6 percent of 499? How much is 71.6 percent of 499? Use the calculator below to calculate a percentage, either as a percentage of a number, such as 71.6% of 499 or the percentage of 2 numbers. Change the numbers to calculate different amounts. Simply type into the input boxes and the answer will update....
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# Faraday’s First Law of Electrolysis The calculations to find out the amount of product formed in electrolysis are based on the following Faraday’s Laws: #### First law: The number of moles of product formed by an electric current is stoichiometrically equivalent to the number of moles of electrons supplied. Once ...
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Free Calc Solutions How do they get from step 2 to three in this CALC question? go here http://calcchat.tdlc.com/free_solutions/main.html the textbook is calculus, 8th edition chapter 9, section 2, exercise 23. How do they get Sn?? lol i think i just figured it out, is it because every number after 1 up to n is cance...
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# Co-ordinate Geometry What is co-ordinate geometry? The subject co-ordinate geometry is that particular branch of mathematics in which geometry is studied with the help of algebra. This branch of mathematics was first introduced by the great French Philosopher and Mathematician Rene’ Descartes and by his name the su...
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# Unraveling the Mystery Behind Alternate Interior Angles ## What Is an Alternate Interior Angle? An alternate interior angle is an angle that forms on the inside of two lines or line segments that share a common vertex, meaning they have been bisected by another line—known as the transversal—that intersects them...
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# Solving Percent Word Problems Free elementary word problem worksheets to print, complete online, and customize. They are the probability written in math terms, percents that represent the problem, ratios that represent the problem, and a circle graph that represents the problem. Become a registered tutor (FREE) to a...
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