Exercise 2: Determine the average value of the following functions, on the given interval. (a) x³, on [0, 2] (b) 2x – x², on [–1,1] (c) cos x, on [0, 1] (d) |sin x|, on [0, 27]

Q: Find the average value of the function over the interval. f (x) =x³, 1<x< 3

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Q: Find the average value of the function f(x) = 6x – 3 x² on the interval [0, 2] and determine a…

A: f(x)=6x-3x2 in the interval [0,2]

Q: Find the average value of f(x) over the interval [−3,2] given that f(x)=−5x+2

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Q: Find the average value of the function on the given interval. а. f(x) 3D seсx tan x on [0, п] 6x2 b.…

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Q: Find the average value of the following function on the given interval. f(x) = sin(x) on [0, ] %3D

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Q: Find the average value fave of the function f on the given interval. f(t) = esin(t) cos(t),    [0,…

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Q: 22. Find the average value of the function f(x) = x² + x + 1 over the interval [-2, 3].

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Q: Prove that the average value of the function f(t) = over [1,2] is equal to In 2. A t

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Q: Find the average value have of the function h on the given interval. h(x) = 7 cos (x) sin(x), [0, 1]…

A: The average value for the given function is given as,

Q: Find the average value of the function y = f(x) = x° on the interval [1,3].

A: Given,          The average value of the function y=fx=x3 on the interval 1,3.We know that,…

Q: Find the average value have of the function h on the given interval. h(x) = 8 cos“ x sin x, [0, n]…

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Q: (a) Find the average value of f(æ) = 25 – x² on the interval [0, 1]. |

A: Solution: The objective is to find the average value of the function

Q: f (x) = (4 – æ) e² on [1,4]

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Q: Graph the function and find its average value over the given interval а. g(x) %3D \x| —1 оп [-1,1]…

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Q: 3. Find the average value of the following function on the given intervals. (a) f(x)=cosx on [0,…

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Q: Find the average value of the function f(x)=x2 over the indicated interval [-1, 1].

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Q: Find the average value of the function f(x) = (2lnx)/x , over the interval [1, e]

A: we have to find the average value of the  function f(x) = 2lnxx, over the interval [1, e]

Q: Find the average value of the function ƒ(x) = 1/ 1 - sin u on [0, π/6]

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Q: 2 Find the average value of the function f(x) = x cos X COs -

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Q: Find the average value of the function f (x ) = in the interval %3D [1, 4] Express your answer as a…

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Q: Find the average value of the function f(x) = 2sin®(x)cos³(x) on the interval

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Q: Find the average value have of the function h on the given interval. h(x) = 3 cos“(x) sin(x), [0, x]…

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Q: Find the average value of the function f(x) = xel-a² over the interval 0 < æ < 10. е — 20 e99 (e+)…

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Q: Find the average value of the function f over the interval [1, 9]. f(x) = 4 - x

A: The given function and interval are

Q: 4. a) Find the average value of the function over the given interval. f(x) [4, 25] Vx'

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Q: Find the average value of the function g(x) = 3 cos(x) on the interval [0, x/2]. %3D Save

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Q: 3. Find the average value of the function on the given interval. a. f (x) = 4x − x², [0,3] 2 2 b. f…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the average value of the function f(x) = Vx on the interval [-8, 1).

A:

Q: 15. Find the average value of f(x)=3x sinx' on the interval 0, (B) (C) (D) 1

A: Given, fx=3x2sinx3, 0, π23

Q: 1 f (x) = [0, е — 1] - x + 1'

A: Answer is mentioned below

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

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: calculate the average over the given interval. f (x) = xn for n ≥ 0, [0, 1]

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Q: Find the average value of the function f over the interval [0,9] f(x)=15/x+1

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Q: Find the average value of the function f(x)= 3sin(x) over the interval [2,4]

A: we have to find the average value of the function f(x)

Q: Find the Average Value of the function h(t) = sin(at) + 3t² on the t – ·interval [0,1].

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Q: 7. Find the average value of the function f(x) = x² + x on [0, 1]. %3D

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Q: Find the average value of the function over the interval f (x) = x3 − 2x + 2, [−1, 2]

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Q: Find the average value of the function f over the interval [−3, 2]. f(x) = 9 − x2

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Q: 2. Find the average value fave of f between a and b, and find a point c, where f (c) = fave a. f(x)…

A: We have to find average function

Q: Let g(t) = cos (nt). Compute the average value of g(t) over the interval IN

A:

Q: 1) a) Find the average value of the function over the given interval. y = 3x5 [0, 2] b) Find a point…

A: “Since you have asked multiple question, we will solve the first question for you. To get remaining…

Q: A) Evaluate the integral Jf(x) dx. B) Find the average value of the function f(x) over the interval…

A:

Q: Find the average value of the function f over the interval [0, 3]. f(x)=6/x+1

A: Given function is fx=6x+1 and interval is 0,3.

Q: Graph the function and find its average value over the given interval. a. g(x) = -|x| on [-1,0] b.…

A:

Q: find the average value of the function f over the interval [-1,1]  f(x) = 7x^3

A: The average value of the function fx over the interval a,b  is defined as 1b-a∫abfxdx. The function…

Q: Compute the average value of the function f(x) = (0x² + ax + B.n)e* on the interval [-a,0].

A:

Q: Find the average value of f(x) = 3 sin (x) + 5 cos (x) over the interval 0, [0]. 3

A: The function f(x)=3 sin(x)+5 cos(x) over the interval 0,π3