(a) i. Find Re{sec (x + iy)}.

Q: Express f(z) = x-1-iy (x−1)² + y² in terms of z.

A:

Q: Q (1): Find fxyz for the function: = xe² + ye* + zey a) f(x, y, z) %3D

A:

Q: a) Differentiate the function Q(p) = -2√/p³ (e-P-PB). b) Hence or otherwise, determine Q'(1).

A: The given function .The aim is to find the derivative function  and find the value of .

Q: 6)Consider the non-homogeneous linear differential equation, y" – 6y' + 73y = e3 + 8x? + 0 then we…

A:

Q: _____18) Find y' if y= 6+x √4-x²

A:

Q: Find f(x) if F(x) = (1-ex)U(x-c).

A: Finding the pdf from the given cdf of X.

Q: Find of the function f(x,y) = sin(x²y³). əx3

A: The product rule of differentiation : (PQ)'=PQ'+QP' sinx'=cosxcosx'=-sinxxn'=nxn-1 Use the given…

Q: If f(2) = (3z)²a² z+2/a find and simplify f(/@). %3D

A:

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: Assume that ƒ′(3) = -1, g′(2) = 5, g(2) = 3, and y = ƒ(g(x)). What is y′ at x = 2?

A: Given:

Q: (1 point) Find y as a function of t if 36y" – 81y = 0,

A: y=76 e3t-122-16 e-3t+122

Q: 4 Let f(x) = 6x°va + || f'(x) =

A:

Q: Let f(x) = 2x³ +1. a) Find f(x + h): b) Find f(x + h) – f(x): c) Find fe+h)-f(x). d) Find f'(x):

A:

Q: Six)ax = [glu) du 1f flx): 3x-1 Solw) au ? Consider what is sec (3*) ·

A: we have to integrate

Q: Find y as a function of a if y(0) = 7, y'(0) = 10, "(0) = 36, "(0) = 0. y(x) = 0 y(4) 12y" +36y" =…

A:

Q: Consider the function f defined by f(x) = its domain. a) First compute lim f(x). Answer: XX 5 b a a…

A:

Q: y = 3√x + 4x 2x2 -31 (1) - 1 (-2) - 4 2 х

A: Given query is to find the derivative.

Q: Let x + y = 28. Find y"(x) at the point (3, 1). "(3) =

A: The solution of the problem is given in the next steps.