Exercise 15. Let f(z) cos z (z2-1)2 The residue off(z) at zo = 1 is a) – sin 1 b) sin1cos 1 c) -(sin 1 + cos 1) cos 1 d) O a. O b. c. d.

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Q: 1. Find the area of the region bounded by the line y=x+7 and the parabola y=x^2+4x+3 and also illlus...

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Q: appropriate. If there is a more elementary method, consider using it. lim x→7  x − 7 x2 − 49

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Q: dy Find in terms of x and y if x In y + yo = 4 ln x. dx

A: Solution is written in below steps.

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) = si...

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Q: 2. Find the general solution of the differential equation: dy dy 5 + 6y = e3x dx - dx?

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Q: Question 2 Write a simpler function that agrees with the given function at all but one point. Then f...

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A: Solution: b) S = {x2+1,x2 - 1, 2x - 1} and coordinate of q w. r. to s is  {2,0,4}

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Q: Evaluate the integral. (Hint: u-sub) O -4e** + C O ex + C

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) - si...

A: The given function is  h(x)=sin2 x+cos x               0<x<2π

Q: y=sin

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Q: Laura borrowed a total of $25,000 from two different banks to start a business. One bank charged int...

A: Total money borrowed=$25000first bank chaged 5% simple interest.second bank charged 6.5% interest.ti...

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Q: Determine if the sequence {a) converges or diverges. Find the limit if the sequence converges. (-1)+...

A: Solution is given below:

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Q: Consider the following. gtx)= 6x - 7; h(x) 1.7* Find the derivative of f(x) g(x) h(x). rm- (a²-7)(in...

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +...

A: for horizontal tangent,  dy/dx =0

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A: This question can be solved using the concept of maxima and minima.

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Q: Question 7 Suppose that f is differentiable on (-o, 00) and f(-1) = 3. If f'(t) >-5 for all te R, th...

A: Lagrange’s Mean Value Theorem : Let f be continuous over the closed interval [a, b] and differentiab...

Q: Find the general solution to the differential equation y''-4y'=8-16x

A: y"-4y'=8-16xf(D)=D2-4DAuxillary equation :m2-4m=0m(m-4)=0m=0,4m1=0 , m2=4

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Q: Explain the following true or false questions in full detailed sentences and answers. Explain your t...

A: 1.TRUE.If there was no minima in betweenf(1) and f(3),Then function must be continuously decreasing ...

Q: Evaluate the integral. sin (8t + 16) dt cos (8t + 16) sin (8t + 16) dt = cos (8t + 16)

A: Solved below

Q: complete

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Q: Find a possible formula for the function graphed below. The r-intercepts are marked with points loca...

A: Intercepts:X-intercepts:(3, 0), (-4, 0)(x-3)=0  and (x+4)=0Terms: (x-3)(x+4) in numeratorVertical as...

Q: 2. Use integration in cylindrical coordinates in order to compute the vol- ume of: U = {(x, y, z) : ...

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Q: Select from the following which is the polynomial function that has the given zeros. 0, - 7, -3 O f(...

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: Option A

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Q: u=(+4,-9) and V=(3,-2) 0 Find the dot product of = %3D

A: Given: Vectors: u=(-4,-9)v=(3,-2)

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A: answer of given question is in step 2

Q: Select the linear function such that it has the indicated function values. f(1) = 8, f(0) = 7 O f(x)...

A: topic - linear function