7-10 (a) Find the average value of f on the given interval. (b) Find c such that fave = f(c). (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f. 8. f(x) = In x, [1, 3] 8

Q: 2) Find an average rate of a function on [a, b] : it asks to wrtie an exact value, and find all…

A: Explanation of the solution is given below...

Q: 1) Use calculus to determine the average value of the given function over the given interval:…

A: The average value of the given function in [-1,5] is given by:

Q: Find the average value of the function f(x)=x²-9 on [0,3]. The average value of the function…

A: The given function is  f(x)=x2-9

Q: Find the average value of the function over the given interval. f(x) = x3 x over [-5, 5] %3D

A: Average value of the function

Q: 5) Find the average value of f(x) = x on the interval [1, 8].

A:

Q: The functions f and g are continuous and differentiable with g(x) = f'(x). Selected values of the…

A: Given query is to find the average valu e of function g(x).

Q: Find the average value of the function over the given interval and all values of x in the interval…

A: average value of fxover a,b is 1 b-a∫abfx dx

Q: Find the average value of the function f over the interval  [0, 7]. f(x) = 11/(x+1)

A:

Q: Find the average value of the function f(x) =x-13 from x-0 to x 9. The average value of the function…

A: *to find:- average value of the function.

Q: Find the average value fave of the function f on the given interval. f(x) = 18x – x², [0, 4] fave…

A:

Q: Find the average value of the function f over the interval  [0, 15]. f(x) = 6/x+1

A: Given,          The average value of the function fx=6x+1 over the interval 0,15.We know that,…

Q: 3.4 Find the average value of f(x) = 3x - 2x on the interval [1,4].

A: Given f(x)=3x2-2x, 1,4

Q: 8. Find the average value of the function f (x) = ÷+1 over the interval [1,9] and find c such that…

A:

Q: find the average value of the function over the given interval and all values of x in the interval…

A: Given that

Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the…

A:

Q: 2. Let f be continuous and suppose f, the average value f attains on the interval -1, 2, is 3.…

A:

Q: (a) Find the average value of f on the given interval. (b) Find c such that fave = f(c). f(x) = 1/x,…

A:

Q: Find the average value of f(x) = - over the interval [2, 5]. (5x2 + 1)2 Enter the exact answer. fave…

A:

Q: Find the average value of the function over the given interval. f(x) = 144 − x2 over [0, 12]

A: The average value of a function  fx  over the interval 0,12 is defined by : fx=1b-a∫abfxdx…

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

A:

Q: (a) Find the average value of the function f(x) = -2x on the interval [0, 4]. fave (b) Find c such…

A: (a) To find the average value of f(x) on the given interval. (b)To find the value of c.

Q: [1,4] is 5. Find The average value of f on f(x) dx.

A:

Q: Let f(x) = +a for some constant a. If the average value of f(x) over [0, 5] is 10, then what is a?

A: Given fx=x+a for some constant a .If the average value fx over 0,5 is 10 we find the value a.

Q: Find or approximate all points at which the given function equals its average value on the given…

A: Average function:favg=1b-a∫ba fx dxGiven:a=-1, b=2Fx=1-x

Q: 2. Find the average value of the function over the interval and value of x where the function equals…

A: Given, fx = x2+1x2       interval  12, 2 We have to find the average value of the function in the…

Q: 3. 2- a) Find the average value of f on the interval [1, 5] b) Does the Mean Value for Integrals…

A:

Q: Find the average value of the function f on the given interval. Enter your answer in exact form.…

A:

Q: Find the average value of the function over the given interval. f(x) = 9 − x2,    [−3, 3] _______…

A:

Q: (a) Let f(x) = x². Find the average value of ƒ over the interval [7, 7²]. Keep your answer in terms…

A:

Q: 36. Find the average value of the function over the given interval. f(x) = 8-x² on [-3, 12]

A: Consider the function  fx=8−x2  on  −3,12

Q: Let f be the function defined by f(x) = 2x2 the interval -2, 1] written in simplest form? 1. What is…

A:

Q: Find the average value of the function over the given interval. f(x) = x3 - x over [-9, 9]

A:

Q: Find or approximate all points at which the given function equals its average value on the given…

A: Since, we have to find  all points at  which the given function is equals to its average value  on…

Q: Please show steps.

A:

Q: Find the average value fave of the function f on the given interval. f (x) = 2x – x², [0, 2] fave =

A:

Q: Find the average value of the function f(x) = (x – 1)* over the interval [- 7, 9]. fave Then find…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 10. Let r > 0. Find the average value of f(x) = /r² – x² on the interval [-r,r]. %3D

A:

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

A: Use the average value formula for finding the value

Q: 20. Find the average value of f on [0, 8] if the graph of f is given. yA 1 0. 4. 6. 46

A: If a graph is given, and we have to find the average value of function over certain range, then…

Q: 2- 1- -4 -3 -21 0 2 3 Graph of f The function fis continuous for -4 <x <4. The graph of f shown…

A:

Q: Let ƒ be the function defined by f (x) = x² – 6. What is the average value of f on the interval -1,…

A: to find average value of f in the interval [-1,3]  where f(x)=x2-6.

Q: Find the average value of the function over the given interval. f(x) = x2 on [0, 3]

A:

Q: Find the average value of f over the interval [2, 4

A: We have to find the average value of the given function over the given interval

Q: Find the average value function of f(x) = (x – 3)² on the interval [2,5]. Use the Mean Value Theorem…

A:

Q: 2. Find the average Let Value of f on the interval [o,1]

A:

Q: Find the average value of the function f(x) = x- 7 from x = 0 to x = 6. The average value of the…

A: Given : fx = x2 - 7

Q: 5V1² – 1 Find the average value of f (x) = on the interval [1, 7]. %3D

A: Topic = Integration As per guidelines, At a time only one question can be answered.    The average…

Q: Find the average value of f(x) = -x+1 x3 Submit an exact answer using fractions and/or roots if…

A: The given function is;  f(x)=(-x+1)/x3 over the interval [-3,-1].

Q: Find the average value of the function over the given interval.   F(x) = (4(x+1))/x^2, [2,4]

A:

Q: (1) (a) Let f(x) = x². Find the average value of f over the interval [T, 7²]. Keep your answer in…

A: