H.W. Find L for the following functions: s +9 2s2 +s -1 S+1 (2) F(s)= (1) F (s) =- s (s -1) | s2 +3 s? +2s +3 (3) F(s) = (4) F (s) = %3D (s² +2s +6)(s – 3) |

Q: Find the point of diminishing returns for the revenue function where x is the amount spent on…

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Q: Find L-1{F(s)} for each given F(8). F(s) s² – 4s + 13 S- 4 F(s) %3D (s – 2)²(s+3)

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Q: Find the domain of the following functions a. f(x) = Vx2 - 16 + V36 - x2 1 b. f(x) 2x2+5x-3

A: Domain of the function

Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)= 5t+10t+1

A: Given f(x)= 5x2-4

Q: 8. Given f(x) = -4x5-3x3 + 4x² -7, use synthetic substitution to find f(-3). %3D

A:

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)

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

A:

Q: 2. For the function f(x) = 2x - 3x + 1, find the following: (b) f(-x) %3! (a) f(3) (c) f(x + h)

A: Given : For the function f(x)=2x2-3x+1(a) To find: f(3)=232-33+1f(3)=10

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

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Q: Given the function k(x) - Calculate the following values: k( – 9) = k(2) = k(4) = k( − 8) = k( − 1)…

A: Here we have to find the values of a function.

Q: If f(x) = 2x + 3x – 1, evaluate the following. %3D (a) f(a) (b) f(-a) (c) f(a + h) f(a + h) – f(a)…

A: Given, fx=2x2+3x-1 a) fa is found as follows: Substitute a for x in the given function.…

Q: 2.r +10 1. Let g(x) = 36 (x) = 5x+4, and r(x) = /6x + 13. %3D %3D (a) Find g(-4). (b) Find (f –…

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Q: 2x 4. Given the function F (x)= 3 do the following: 4.x +1 a. Find F-1 (x). b. Find dom F and dom…

A: Given,            The function is Fx=2x-34x+1.

Q: For #8,9: Let f(x) = x² + 4 and g(x) = 2x – 5. (4 points each) %3D 8. Find (f +g)(2) 9. Find (fg)(3)

A: Given-  f (x) =  x² + 4 g (x) =  2x - 5

Q: = Evaluate f(2) - f(1) f(x) = 6x + 1 %3D

A:

Q: 1 and g(x) x – 7 Let f(x) +7. Find and simplify the following: (a) (ƒ o g)(x) (b) the domain of (ƒ o…

A: As per our guidelines we are supposed to answer one question , kindly repost the remaining question…

Q: fx) 1 A. f(x) = 2x2 + 8x + 1 B. f(x) =-2x²-7x + 1 .4 %3D -3 -5 C.f(x) = 3x² + 9x-11 D. f(x) =-6x² +…

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Q: a. Find h(k(- 2)) b. Find h(k(x)) c. Find k(h(- 2)) d. Find k(h(x)) 3. Consider the functions, m(x)…

A: In this question we will use basic of calculus i.e concept of composite function. We will simply…

Q: Determine whether or not the following functions are even or odd (a) f(x) = -3r² +4 (b) g(x)- 2.r3 –…

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Q: Kelli has already taken 20 pictures with her new cell phone. She plans on taking 15 pictures each…

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Q: The function f(x) = 2(x-3)2 + 2 will be wider than y = x2. %3D True False

A: Here,  f(x)=2(x-3)2 +2and y=x2 is given. The graph of the functions is as shown

Q: c) Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D

A: Newton's forward difference interpolation formula is, y(x)=y0+pΔy0+ p(p-1)2!    ⋅Δ2y0+  p(p-1)p-33!…

Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: Find (f - g)(x). f(x) = 2x – 2, g(x)= 4-x x-6 O 3x-6 2x -6 2x+6

A: Given problem:- Find (f- g)(x).   f(x) = 2x - 2, g(x) = 4 - x

Q: Suppose that f(x) = 6x + 7x 2. Evaluate each of the following: %3D

A: Here we have f(x)=6x-4+7x-2 .................................. (1)  Differentiate with respect to x,…

Q: 1. Make two separate plots of the function f(x)=0.6x-5x +9x+2; one plot for -4 sxS4, and one for…

A: The given function is fx=0.6x5-5x3+9x+2.

Q: Vhich function is equivalent to y = 2(r + 3)+52 %3D Oy = 2r + 14 Oy = 2x + 12a + 23 Oy = 2x + 12r+…

A: y=2(x+3)2 +5

Q: .Which function results in f(2) = 132 %3D A. f(x) = x2 + 8 %3D B. f(x) = 3x2 + 1 %3D C. f(x) = 2x3 +…

A: We have to find out

Q: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows: