Use contour integrals and Cauchy Residue Theorem to calculate the following integral Justury your answer. cos(2x) (b) x 72+27+5dx;

Q: The Body Mass Index (BMI) is a rate of a person's weight in kg divided by their height in meters…

A: Let's find.

Q: Find the following sums: 1.1 2 4 8 a) --+ 2 3 9 27 81 2100 + 3101 b) 5+9+13+17+.....+1001

A: The sum of n terms in a geometric progression is S=arn-1r-1, where a is the first term, r is the…

Q: d) S₁²=1 sin³dz

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Q: 8. Determine whether each of the following functions, f: R → R, is invertible. a) f(x) = 3 – x b)…

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Q: In a random sample of 37 criminals convicted of a certain crime, it was determined that the mean…

A: Given data n=37 mean=61 standard deviation=8 confidence interval=95%

Q: Use the Divergence Theorem to evaluate / F. ds where and S is the boundary of the sphere x² + y² +…

A: The Given function is , and the surface is  oriented by the outward normal.To Find: .

Q: 8. 3.

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Q: Solve. Express your answer using interval notation. Illustrate your solution on a number line. 5x +1…

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Q: Compute the Laurent series for 21,2 − i| > 2 -

A: FORMULAS:  1.(1+x)-1=1-x+x2-x3+....,x<12.i2=-1   f(z)=zz2+1=z(z+i)(z-i)=121z-i+1z+i, by partial…

Q: Year Simple Index 2010 2011 2012 2013 2014 2015 2016 2017 2018 Interpret the trend in the number of…

A: a. The formula to use the simple index: Simple Index = P1P0×100, here, P1= current year, P0= base…

Q: 5. Give a recursive definition of the set of positive integers that are multiples of 5.

A: Solution

Q: 20. Give a rule for the function {(0, 0), (2, -2). (3,-3), (4, a. y=x b. y=-x c x-y=0 P.

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Q: A. Test each of the following equations for exactness and solve the equation. The equations that are…

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Q: Hugh was trying to see if he could tile a 2" x 2" board with L-shaped tiles (i.e. a 2 X 2 tile with…

A: Given: We have given a 2n×2n board and we want to fit the board with L-shaped tiles such that ∃ an…

Q: The size P of a certain insect population at time t (in days) obeys the function P(t) = 200e0.06t…

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Q: Note: to post click "Reply" at the bottom. Please answer the questions below: 1.) For the integral…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the derivative of y with respect to x if y = (5x2 – 10x + 10) e - 6x y' =

A: We have to find the derivative of y with respect to x.

Q: 6. A theater has rows of seats that can seat a total of 144 people. The number of rows is 7 less…

A: Solution: Let the number of seats in each row = x so, number of rows = x-7 Total seats = 144

Q: Fill in the missing value so that the following table represents a probability distribution. x 35 45…

A: The probability distribution is given with missing value.

Q: 1. Prove that 3 + 3 x 5 + 3 x 52 + 3 x 53 + ..+ 3 x 5° = 3(5n+1 – 1)/4 whenever n is a nonnegative…

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Q: Use the vectorized Euler method with h = 0.25 to find an approximation for the solution to the given…

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Q: Solve for the volume of the pyramid. Show your work and explain the steps you used to solve. 8 in 12…

A: Consider the pyramid

Q: Use the graph to determine whether the statement is true or false. lim f(x) exists. 2) x -> -3 A)…

A: As we know that, the limit limx→af(x) exists only when limx→a-f(x)=limx→a+f(x)

Q: Let S = {1, 2, 3, 4, 5}, and the relation R on S is defined by (a, b) e R if and only if a 2 b. a)…

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Q: e following integrals by 1 (b) J-22 sidz, (c) sin:

A: Cauchy Residue theorem

Q: Determine the time required for the ball to reach its maximum height, the maximum height of the…

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