Consider the following function 5z2 – 4z +3 f(2) = (z + 1) (z + 2) (2 + 3)' Find the residue at each pole of f (:). Find ff (2) dz, where C: |:| = 5 %3D 1 Find ff(z) dz where C: la+ 1l 1.5

Q: (a) Find T4 and S4 of +3y=x^3+3 for x∈[0,1]. To do this complete the following table   ii xi f(xi)…

A:

Q: Calculate (t) when k(t) = r(t) = (4t-¹, 2,5t)

A:

Q: t+1, if 0 <t< 5 4 - s(t) = %3D 3/5VE - 51 if 5 <t < 10 4.

A:

Q: (ax-3 (x+4)8 Degreez co EGAelents

A: The detailed solution is given below Thank you

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: Q. / Standx dx 3 None 2log|sec4x| + c 3 8log|sec4x| .+ c 3 2log|sec4x| + c 4

A:

Q: Consider T(r1,12, Ia) = (371 – 212 + 4ra, I1 + 273, 12). Find T!. %3D

A:

Q: Find the inflection point(s) (x,y) to the function f (x) = x²+x+1 %3D x2

A:

Q: Evaluate * Vx² – 1 dx.

A: Given,  ∫ x2-1x2dx

Q: Allow T2(x) be the 2nd degree Tylor polynomial for the following function: f(x)=2+x*e^(5x) which is…

A:

Q: dy Q1: - Find of the following functions dx x2 +3 b. y = (x-1)3+(x+1)3

A:

Q: Find a function r(t) that describes the line passing through P(9,2,9) and Q(3,6,5). (1) = (- 6t + 9…

A: 0&lt;t&lt;1

Q: EXAMPLE 12 Solving Radical Equations /2r + 7 – x = 2 а.

A: a.2x+7-x=2 adding x on both sides, 2x+7=x+2 squaring on both sides,…

Q: A company has invested in an online tool that is expected to generate a continuous revenue at a rate…

A: Given that revenue is 252 thousand. And cost is -t2+578t The objective is to find the profit in…

Q: Transform the following point, using the given rule: (-3,8) Rule: (x,y)-> (x-8, y+2)

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: 3 1-x Find [, [* (x³ + y)dydx

A:

Q: for z = In(2® + y*). Find

A:

Q: Find the function r that satifies the following condition. r'(t)=(3t2,4t3,2t); r(1)=(-2,-5,-9)…

A: Given,          r't= 3t2 , 4t3 , 2t  , r1=-2,-5,-9

Q: A- Find d2y dr² for the function x³ + xy = 1 at (1,1)

A:

Q: A company has invested in an online tool that is expected to generate a continuous revenue at a rate…

A: Consider the given information:

Q: 5. Consider the function y(t) = rect (a) Sketch y(t). (b) Sketch (d+1)y(t). d-5 (c) Sketch y(t-(a +…

A: We have been given: yt=recttd+5 We have to sketch: a ytb yt-a+1c d+1ytd y2t-a+1

Q: Find | |- •√√√√ V 5x ry sin(x² + y2) dedy

A: ∫02π3∫05π3xysinx2+y2dxdy

Q: Evaluate: (8t3 – 9t2 + 7)dt -

A: Topic = Integration

Q: Find 40, 41, and 42 in rewriting the function of ƒ(x)= {√x 00 f(x)= ΣΑLx(x). k=-x x20 x < 0 in terms…

A: Given: Function, fx=x, x≥00,     x&lt;0To find: A0, A1, and A2 while rewriting fx in terms of…

Q: Differentiate the following function. 6x2 +5 y= x2 +1

A:

Q: nd frr for the function z = x ° - 6xy+ 4y .2 30x 2- 42x 6x- 6y

A:

Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: When dividing the polynomial f(x) by x-p, where p is a real number, the quotient ( Luāll e) is Q(x),…

A: We have to solve given problem:

Q: 2. In each case, write the function f(z) in the form f(z) = u(x, y) + iv(x, y): z² (a) f(z)=z³+z+1;…

A: