For the function, find the following. 7 x5 120 f(x) = 8 + 8x + + %3D 6. 24 (a) f'(x) (b) f"(x)

Q: 20. Evaluate f(a+2) for ƒ(x) = %3D 4x-8*

A: Given: f(x)=34x-8

Q: 1. Simplify the following. a. f(x) =2x - 3 -2(5x-4) b. f(x) = (4x 2 - 5) +(-2x²+3x-5) c. A(r) -…

A:

Q: Suppose that f(x) = (x - 4)*.

A: At the point of inflection, f''(x)=0.

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: 1. The cost (in thousands of dollars) of extracting x tons of iron ore from a mine is given by the…

A: Given: The cost of extracting x tons of iron ore from a mine is given by the function C=p(x). To…

Q: Find f. "(x) = + 6x + f(0) =, f(1) f(x) 2x4 +x + 4x +3

A:

Q: A factory can produce R rugs a month based on the function R(n) 4n2 – 7n +58, where n is the number…

A: Consider the given function of number of rugs: Rn=4n2-7n+58 Where, nx=15x+20x Rate change in rugs is…

Q: Suppose that f(x) = 3(8x- x-)/256 for 06) %3D

A:

Q: Suppose f (x) = 100x2 - 5x thousand units areproduced, where x is the number of years after 2000.a.…

A: Given  f (x) = 100x2 - 5x where x is the number of years after 2000

Q: Homework: Find (fag), (gof), (faf) and (gg) of the following functic 1. f(x) = x'; g(x) = x² +3. 2.…

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Q: Given the following function notations, find h(x) = f(x) + 2g(x). * f(x) = 7x – 5x + 2 and g(x) =…

A: Given the following functions                                      f(x)=7x3-5x+2  and  g(x)=3x2-1…

Q: Is f (x) = ( ½) x increasing or decreasing?

A: Given: fx=12xIncreasing Function:    If  f'x>0  for every x on some interval I, then fx is…

Q: If f(x) = x²/(4 + x), find f "(4). f "(4) = %3D %3D

A: The given function is f(x)=x24+x

Q: Find the domain of the function: f(x) = ln(3 - x)

A: The Domain of a function Includes all values of x for which the function is defined. We know that a…

Q: s(2) dr=3 and s (4)d. f (x)dx: =-2. what is (x)dx? Make sure to justify your answer -2 or the…

A: We can find the answer as below using property of integration.

Q: What is the average rate of change of f(x) from x₁ Answer = -7 to x₂ = 4? Please write your answer…

A: Given Data: Let us consider the given function is fx=6x+2. x1=-7x2=4 To Find: The average rate of…

Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.

Q: I need to find (fg)(x) and f/g please

A:

Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).

A: Given fx=7x2+4x-1.

Q: I(n) = ;n² - 글까-10 5-2t h(t) = t- 1 %3D S(h(0.5)) =

A:

Q: Find the rate Of Chaange the folloewing in Table de. X 1-2)-1 TO fex) F3 -1 3.

A: Given that table values, x -2 -1 0 1 f(x) -3 -1 1 3 Use the formula of the rate of change,…

Q: Suppose D defines the number of miligrams of drug concentration that is  present in the blood stream…

A: