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

A:

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

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: 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: Evaluate: (8t3 – 9t2 + 7)dt -

A: Topic = Integration

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: 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: