PROBLEM 1 Let f (x) = -x* - 8x + 32x + 384x + 69.

Q: Problem 7. (1 point) Let f(x) Then (fo g)(2) =, (fo g)(x) =|| = 2x + 4 and g(x) = 5x2 + 5x.

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Q: If f(x)=ln(3x^3+4x^2+x+4)

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Q: Let Ax) = x³ + 9x² – 6x + 2. Find f (x) and f"(x), and then solve f"(x) = 0.

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Q: PROBLEM 1: f (x) = 4x + 7 at (2,15)

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Q: If f(1) =1 and f (x) 2 3 for 1 <x < 3, how small can (3) possibly be?

A: We will find the smallest possible value of f(3) as following.

Q: 9. Integral (2x-5) ai x² = 5x + 3 -

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Q: 1 2 (1-x) ³

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Q: 1) F(x) = Vx+5 %3D x2-16 2x-8 2) h(x) = Vx2-15x+56

A: The domain of a function is the set of values which can be input into a function without the…

Q: If f(1) = 2 and f '(x) ≥ 3 for 1 ≤ x ≤ 5, how small can f(5) possibly be?

A: Given f1=2f'x≥3    ; 1≤x≤5

Q: (3ут+3) (л — 2) f (x) : x2+2x+1

A: Given           f(x)=3x3+3x-2x2+2x+1

Q: f(x) = (x -5)' =(x-5)(x-5)(x-5) -5 x^2 -5x (x^2-10x+25)(x-5) -5 -5х 25 x^2 -10x 25 -5 3.

A: Factor problem....

Q: If f(1) = 12 and f '(x) 2 2 for 1 < x < 5, how small can f(5) possibly be?

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Q: In Problems 11–20, use the Remainder Theorem to find the remainder when f1x2 is divided by x - c.…

A: Since you have asked multiple questions and we will solve the first question for you. If you want…

Q: Find the derivative of the function?

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Q: 1. f(x) = (x + 3) - 8 2. f(x) = -4x² + 5 3. f(x) = (x + 2)2 – 1

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: snip

A: Given functions are fx=2x-6 and gx=12x+6. To show that f o gx=g o fx=x Solution: We have, fx=2x-6…

Q: find the value of x in (1/(3x+1))+(1/(x+1))=(1/(3x+1)(x+1))

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Q: PROBLEM 3 Let f (x) = 6x² + 2x - 19. %3D

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Q: Question 23 -5 -4 -3 -2 -1 1 2 3 4 5 -1 -5 + Complete an equation for the function 5 4+ 3 2 1 D 2…

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Q: 2x : 1 3 is not one to one True False

A: Given: The function f(x)=2x : 1≤x≤3x   :  x&gt;3

Q: if x 0 -

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Q: If f(x) = x²-x+3, then f(-2x) equals A. 4x² - 2x + 3 B. -4x² + 2x + 3 C. 4x² + 2x + 3 D. 2x² + 2x +…

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Q: (3x +2 ifx 3 3. f(x) = x/|x| with a = 0.

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Q: Problem 9. Let f(x) = /4x² + 2x +4 f'(x) = | f'(1) =|

A: Given fx=4x2+2x+4

Q: Problem #2: Differentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2). %3D Solution: Reason:

A: To differentiate the given function.

Q: + x) at a = -2

A: The Taylor series of a function fx at a point x=a is defined as f(x)=∑k=0∞f(k)(a)k!(x−a)k where fna…

Q: QUESTION 7 Find y'. y = (5x - 3)(3x 3 - x 2+1) 15x-14x 42x-5 60x3- 14x2 - 42x-5 45x3 42x2 14x=5 60x…

A: Solution: The objective is to find the derivative of the given function

Q: If k(x)= 2e^2x then k''(2) is equal to

A: Given  k(x)=2e2x To find  k''(2)

Q: If f(2) = 2 and f '(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be?

A: given that f(2)=2,f'(x)≥ 3 for  2 ≤ x ≤ 6. we need to find how small can f(6) can be We use Mean…

Q: No calculator. f(x) = 3 %3D g(x) = 4x –x

A: Given: fx=3gx=4x-x2 To Find: Limit of IntegrationArea of the shaded region

Q: Problem 4.14 Find f if 3 f"(x) = 20x³ - 12x² + 6x

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: If f(1) = 6 and f'(x) > 2 for 1 <æ< 3, how small can f(3) possibly be?

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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.

Q: 1. f(x) = 10 2. f(x) = 3 − 4x 1 2 3. f(x) = x² - 9x 2 4. f(x) = x² + 5x + 4 5. f(x) = 2 + 7x - 2x²

A: See the details solution in below

Q: Problem 4.14 Find f if f"(x) = 20x³ – 12a² + 6x

A: Integration

Q: Vx+5-5 1. f(x): at (-5,-1) х-20 V16-x2 2. f(x) = at (-3,-1) х+1 V16-x3 3. f(x) = at (-3,-1) х+1 х-16…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If f(1) = 5 and f'(x) > 2 for 1< x < 6, then the smallest value of f(6) would be

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Q: 14. f(x) 1/x, a = -3

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Q: If f(x) = 3X, then f'(x)= 3TX A In 3 3TX B In 3 1(3Tx-1) D TIN3(3 )

A: We have to solve

Q: If f(3) = 14 and f '(x) ≥ 2 for 3 ≤ x ≤ 5, how small can f(5) possibly be?

A: The given conditions are,

Q: 4. Use a calculator. f(x)= 2x-x g(x) =-x -1 %3D

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Q: Question 2 Evaluate / xV3x +2 d.x.

A: As per guidelines we have to solve one question

Q: 1. f(x) = x - x² – x + 10 if one zerc is -2. 2. f(x) = x- x² – 10x-8 if one zero is 4.

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Q: 1. f(x) = Vx2 – 4 (x²–9) 2. f(x) х+3 х+8 3. f(x) x2 +x-2

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Q: If f(æ) = (x + 1)² – 1 then f(1) – f(0) is equal to:

A: Given f(x)=(x+1)2-1 Now we will find the value of f(1)-f(0) as shown below

Q: Suppose f(2) = 4, f'(2) = –3, g(x) = væ, and h(x) = 9(f(x)). Then h' (2)=

A: We will find the h'(2) using the given values.Below find the solution in the image.

Q: In Problems 13–16, give on its domain. 13. f(x) = 2x² - 3

A: we have to write

Q: If f(2) = 7 and f '(x) ≥ 1 for 2 ≤ x ≤ 6, how small can f(6) possibly be?

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Q: Problem 2 Evaluate at = -1. 8 f(x)=3-"" 71=0

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