17. The function f(x) = 2 + 2x2 - x* is increasing on: %3D A) (-00, -1) only. B) (-1,0) and (1, c0). C) (0,1) c D) (1, c0) only. E) (-0, -1) and (0,1).

Q: Find the second derivate of f(x) = 4 + 3e-* %3D A 3e* F 3e* C -3 -3e-* 9e-* H -9e-*

A: To find the second derivative of the following function f(x) = 4 + 3e-x

Q: For f(x) = (x + 3)*(x – 6)³(x + 5), list each real zero and its multiplicity.

A: Given function is f(x)=x+34x-63x+5

Q: # 8 If f(x) = 2x2 + 3 and g(x) = - 3x - 6, find f(x) g(x). %3D es 4) A) 6x3 - 12x2 - 9x + 18 B) 6x3…

A: solution:-.

Q: What is the vertex of the function f(x) = 19(x+6)2 %3D O (19, 6) O (6, 19) O (6, 0) O (6, 0)

A:

Q: Determine L-1{F} if -3s2 + 20s – 25 F(s) (8 – 3)(s² – 2s + 5)'

A:

Q: x-1 3. If f(x) = 2x + 1 and g(x) = , then f(g(x)) = ? 2 a. x-1 b. 4x+2 5x+1 C. 2 (2x+1)(x-1) d.

A:

Q: Assume SSE(b)=(8-4*b)^2+(10-3*b)^2 +(7-8*b)^2  . Find the value of b that will minimize this…

A:

Q: If h(x) = 8x – 3, find 3[h(x)]² – 7 -

A: We know that- (a+b)2=a2+b2+2ab

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

A:

Q: Let f(x) = V2 - x+ 8. Determine f-(x) and the the domain of f(z). f(x) = %3D Domain of f-(æ) =

A:

Q: Differentiate the following function. 2 + 6t s(t) = (P-1) (-7) %3D Choose the correct answer below.…

A:

Q: + 1) =-2fn what

A: Function: f(1)=160   f(n + 1) =-2f(n) If we put n=1 f(1+1)=-2f(1) f(2)=-2.160 f(2)=-320

Q: x5-3x-2-7x c) iii) f"(x) for f(x) = %3D

A:

Q: :) is one-to-one and f(11)=-9, then f(-9) = (f(11))-l =

A:

Q: -B -2 4 3 2 WH + 2 --3- -4 Y 2

A:

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: K 3. f(x) = = mt f(x) find a. 2 = (x) اسم - - () اسمر - ( ) اسمر 2 = = = (x) اسمر b. .. d.

A:

Q: Suppose f(x) = 2x² + 6x + 2. Compute the following: A.) f( – 3) + f(1) = B.) f( – 3) – f(1) =

A:

Q: Sx² – 4 if x # -3 -2 if x = -3' Evaluate f(4), f(0), f(-3) and f(-2/3)

A: fx=x2-4if x≠-3-2if x=-3 We have to evaluate f4 , f0 , f-3 and f-23

Q: 8) Find 4 given : f(x)=- (3x² – 2x +1)'

A:

Q: a. Find ux b. Find uy C. Show that u satisfies the partial differential equation xux + yuy = 3u. %3D

A: In this question we have to find differentiation for the for the following question.

Q: lim (4x2 + 2x + 5) = 5x→0

A: We will plug x=0 in place of x

Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: 6x + 17y df f f(x,y) then i : 6x 17y ду 204x (6а — 17у)? - 204x - (бх — 17у)? 204x (6x + 17y)² 204x…

A:

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: 4a+ax/x)=f a=

A: