5. Given n constants ki (with i = 1, 2, ..., n) and n functions f(x), deduce from Rules Iv and V that Σκ ki fi(x) dx = Ekfrodx

Q: 4 For which values of a e R is the function f(x + iy) = (a²x – axy)+ i ax? + ay an entire function?

A:

Q: f'(x) = V= and f(1) = 3- I|

A: Explanation of the answer is as follows

Q: Consider the function y = 2e4. Which of the following statements is true for y? O y'=y Oy = /v O…

A: given,

Q: 4. Let f(x)=1+x³-x. Find an x-value that makes f(x) 0.

A:

Q: 1 2.if [(fT))=, find [ f(4t) S

A: Laplace transform of the function

Q: e Gren that f(x) = and g(x) = vx + 5, find the composite function (f gz) a f•g)(x) = 2-7 b. f•9)(x)…

A: Given data

Q: 13.Given f(x)= Vx, find 2f(x)+1 an expression for:

A: Given query is to find indicated expression.

Q: Find function g if | g'(x) = 30 cscxcotx. 20 /1-x² 2.

A: Given that,  g'(x) = x53 - x75x2030 + 21 - x2 - cosec x cot x To find the g(x)    Now,  g'(x) =…

Q: c) Let S= {-1, 0, 2, 4, 7}. Find f (S) if i. f(x)=[x/5]. ii. f (x) =L (x² + 1)/3 %3D %3D

A:

Q: iff.g,h becontinuous functions on [0,a]such that and sh(x)-4h(a - x)=5, then provw that…

A:

Q: what is a function that takes the same value as im(z) on  γ(0;1)

A: We are to find out the function that takes the same value as im(z) on γ(0;1)   There are many…

Q: For the function f(x.y) = e 4xy, find f, and f,. f, =

A:

Q: Q2/ Find the domain and range for the following functions 1) y = 2) y = x +! 3) y = 3+2 cDsx 4) y =…

A:

Q: If f(x) = 5x + In(x – 2), find f15) A. OIn 13 В. C. O5 D. IC

A: Given function is f(x)=5x+ln(x-2) Let f-1(15)=a. Then f(a)=15 Now just check all the options one by…

Q: Find y as a function of t if with y(0) 9, /(0) = 5. y A 10000-81y=0

A:

Q: 1 If (x, y)= find f, and f,. Vx? x²+y²

A:

Q: Integrate the following function f(x)= 6x- + 2x – 5 dr

A:

Q: • Given the function z = f(x, y) = 1 - x - y, all of the following are true EXCEPT a. x is an…

A:

Q: 1. Fit the function g(x) = v1x + v2 (x – 1)3 to the data in table below. Xi -1 1 Yi 2 1 -1

A:

Q: Let f(r) = 2. 1 + Find f(1/2) 1. Find the domain of f ii.

A: Given data is: fx=11-21+11-x Calculate the value of f12 and the domain of the function.

Q: .e- P(x)= %3D 1. Let and let =10. Find P(9)

A: Find the value of P(x) at x=9

Q: 6. Suppose we don't know the formula for the function y = f(x), but we know that f(2)=-3 and that x²…

A: Given: f'(x) =  x2 / ( √1+x2 ) f(2) = -3

Q: 1. Given the functions f(x) = Vx – 5 and g(x) = x² – 6, determine each of the following %3D values.…

A: see the details solution in below

Q: If f(x, y) = x²ye*xy, find fx and fyx.

A: Given function is

Q: Q2. Given that f(x) = |6 – 2x|. Draw the graph of f (x) and hence evaluate f f(x)dx. [ Fig 1

A: Let's find.

Q: D Question 18 Given the function S(x) = 3x – 2, g(x) = vx + 2 Evaluate

A: Let's find.