If f(x) = 2e³², what is the average value of f(x) between [1, 4]?

Q: Let f(x) = 8x³ - 4. What is the value of c on the interval [0,2], such that f(c) equals the average…

A:

Q: Find the average value of f(x) = - 2 on [5,6].

A: To find the average value of fx=2x on 5, 6.

Q: If the average value of f(x) = x³ + 3x2 + bx - 2 over the interval [0, 2] is 8, solve for b.

A:

Q: (2-9x³), find f'(x). Given f(x)= In (2-9x³), f'(x) =

A:

Q: . If f(x) = V4x – 7, find f'(x).

A: we have ;  f(x)=4x-7;  we have to find f-1(x)

Q: 3. What is the average value of the function g(x) = 3x² – 7x over the interval [0, 3]?

A:

Q: Given that f(6) = 8 and f(6.1) = 2.3, approximate f'(6). %3D f'(6) =

A:

Q: Suppose you khow the three facts. f' (2) = 9 f'(3) = 0, and f(4) = -2. What can you say about the…

A: Note that if f has any extreme value then at that f' will be zero

Q: The average value of the function f(x)=x²-19 on [0,9] is

A:

Q: What is the average value between the curves f(x)=√x³ in the interval [419] of

A:

Q: 10) Find the average value of the function f(x) = -3x² on the interval 3 < x ≤5

A:

Q: 8. Use the Mean Value Theorem to prove fEC'la, b], f'(x) = 0 = f(x) = c

A: see below the answer

Q: Given the function f(x) = 4?2 + 2 , find the value of c such that f(c) equals to the average value…

A: The given function is f(x)=4x2+2. If the average value of the function f(x)=4x2+2 over the interval…