The critical point (s) for is/are: y = f(x) = 4x³ - 30x² +48x+8 a) (-4, f(-4)) and (-1, f(-1)) O b) (4, ƒ(4)) and (−1, ƒ(−1)) Oc) (-4, f(-4)) and (1, f(1)) d) (4, f(4)) and (1, f(1)) e) None of the above

Q: If f(x) = 2x²-2, then f(f(x)) = Select one: a. 4x4-8x²+6 b. 8x4-16x²+6 c. 4x4+6 d. 8x4+6

A: Here the given is

Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: Find (f + g)(x)

A: we have to apply composition property to solve given function please note: we are only supposed to…

Q: f(x) = 4x² + 1; a = 2, 4

A:

Q: and f(a) f(x) = 4x² + 5x² + 6x-7 3 7 2. Find f(x), f"(0), given

A: Given a function f(x)=4x3+5x2+6x-7 We have to the following of the given function, f''(x) f''(0)…

Q: 4- 2. -2. -4 -6 10

A: Question is based on Observation of given graph.

Q: 4. If f(x) = x² + 2 and g(x) = 2x − 1, what is (fog)(x)? (A) 4x² - 4x +3 (B) 4x² + 3 (C) 4x² - 4x +…

A: Detailed solution will be given below

Q: Find-f(x) when f(x) = 3x+4x+4. O A. 3x-4x-4 O B. -3x-4x-4 OC. ОС. 3х- 4х +4 O D. -3x -4x+4

A:

Q: (x²-x) y¹ = (x²+1) y + 12x (x²-1) ³ y' when x = 2, Y = 9

A: Given differential equation is  x3-x y' = x2+1 y  + 12 x x2-13                      ⇒      x3-x…

Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

A:

Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: Determine the constants a and b so that x = -1 is a zero point to q (x) = x5-3bx3 + ax2-ax + b with…

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: (e) 7 x² 3x2-6x x²-4x+4 (f) 1−4+1/2/2

A:

Q: If Var(X) = 5 and Var(Y)=10, then Var(3X-2Y) is

A: Given that Var(X)=5 Var(Y)=10 we have to find Var(3X-2Y) ?

Q: Calculate R5 for f(x)=4x2+6x over [-1,1]

A: The objective of this question is to calculate the Riemann sum, specifically R5, for the function…

Q: 1. Differentiate. Do not simplify. I b) g(x) = (7x3 – 3x² + x)(1+ 4x²) a) y = Vx4 -5x+1 d) g(x) =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

A:

Q: If 6x° +x*-y? 3x² +y? if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)=

A:

Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

A:

Q: 6. If f {(1,-3)}, (a) find the domain and range of f. (b) find g(r) = f(r+2). (c) find h(r)=…

A:

Q: Find f(x) or y in terms of variables x+2y+y²=3x-x²+5

A: To find y rearrange the y terms to the left and x terms to the right of the given equation.Then…

Q: If fx) = (1 - x)² and g(x) = 3 - x, find fg(x)) and g(fx)). fg(x)) = g(fx)) =

A:

Q: )- (3x* -7х +4

A:

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…

Q: If Q(x) = 7x³ + x and R(x) = 6x – 7x², find the following: %3D a) (Q – R)(x) =|| %3D b) (Q * R)(x)…

A: Given: Qx=7x3+x, Rx=6x-7x2 For finding Q-Rx,we substract Rx from Qx

Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.