(a) (b) (c) f (x) = c exp (- 6x) x > 0 - cx, -1 < x≤0 0, otherwise f(x)= cx² exp(-x²) x > 0 S(x)=√(²3)*, x = 0,1,2,...

Q: *(x) = x3 – 2x + 4 at a = 1

A: Given query is to find the value of the function at indicated point.

Q: Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

A:

Q: If f(x) = (x − 2) 5(2x+1) 6, then what is f"(0) ?

A:

Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x&lt;-10…

Q: b) Find f(")(x) is f(x) =

A: The derived function is a function f  where f'(x) is the derivative of f at x, is the derived…

Q: 5. Let f(x) = x² + 3x and g(x) = 2-x. (a) Find (f - g)(x) (b) Find (fg)(2) (c) Find (4) (x) and its…

A:

Q: The function f(x) = 2x + 6x? - 5x + 1 is concave upward on the interval O None (-0, c0) (-1, c0)…

A: Given, y=f(x)=2x3+6x2-5x+1 In this we have to find differentiation of function till when all the…

Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: f(x)=1/x+7 f-1(x)=

A: Given function is

Q: 9. Show that the distribution, for which the characteristics function is e, has the density function

A:

Q: S(x) =x-5x+1, -2 <x<3

A:

Q: (c) f(x) = √√x − 6, x ≥ 6. f-¹(x) =

A: given  f(x)=x-6  ,  x≥6for finding inverse steps are (1) put y=f(x)

Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

A:

Q: f ( x ) = 5 x + 2 at x = 7

A: Given: f ( x ) = 5 x + 2     To determine: value of f(x) at x = 7 i.e, f(7)

Q: Differentiate

A:

Q: erify the result C(X"X) = C(X") for %3D x-(; ) X = -1 0 %3D

A: We have to solve given problems:

Q: r(x)= 9/x-3 r(8)

A: Given:

Q: f(x)=2-x/3x+4          1. f(2)  2. f(0)

A: 1) Plug x=2 to find f(2) and simplifyAnswer(1): 0

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: F(x)=6-2x, 1<x<5

A:

Q: f (1), where f (x) = 21 + x2

A: Given function - f(x) = x2+21         ...........(1)f-11 = ?First we need to find the inverse…

Q: Find the interval of increase of p(x)=x2+5x+6

A:

Q: 2. Solve for f-1(x) when f(x) = v2x + 3. %3D

A: Write x in terms of y for calculating inverse of y.

Q: 1 f (x) =

A:

Q: Given f(x) = 7 + 3  /  8  , then f-1 (x)  will be?

A:

Q: f(x)=5sqrt(x+2) at x=7

A: Given: f(x)=5x+2f(x) has domain x≥-2

Q: let f(X)=5x +(-3) find the largest & sothat [fx)-F(a]]<E when(x-a/<8

A:

Q: f (x) = 3r³ – 9x² 1 + x +3 j(x) = x + 7x + 9 Determine p'(x) given p(x) = f(x)j(x). Please don't…

A:

Q: f(x) = In (1+x³)

A:

Q: If f(x) = x*3 − 6/x, find the following:a) f(-1/2)b) f(2)c) f(-2)

A: Answer: a) -27/2 or -13.5

Q: If f (x ) = 2r -1/2 then f(x) equals ?

A: The solution is given below.

Q: X f(x) = {x² + 2x 1 at a = 0 if x = 0 if x = 0

A:

Q: Suppose f(x) = Evaluate: f(x) dx (A - In (2) (B) 4 3 16 (D) In (2)

A:

Q: If f(x) = x²/(1 + x), find f "(2). f "(2) = L

A:

Q: (x) = 2x - 3           x = 5 Compute f -1 (x

A: