Find the average value of the continuous function f(x) over the interval [2,5] given the following table of values and F(x) is an antiderivative of f(x). * f(x) F(x) 2 -6 0 6 -2 -3 3. 3. 2.

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

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Q: Find all numbers b such that the average value of f(x) = 7 + 8x - 6x² on the interval [0, b] is…

A: Given is the function  f(x)=7+8x-6x2   We have to find the value of 'b' when favg.=8 on the…

Q: 1) Find the average value of the function f(x) = 3-4x + 5x² over the interval [-1, 3].

A: The function is given by fx = 3-4x+5x2 To determine: The average value of the function over interval…

Q: 2. ㅠ to Suppose g(x) 4* = 1 (1+x²)²* the average value of f(x) on the interval [-1, 1] is equal 1 +…

A: We have to determine the function among the functions fx and gx having the smaller average value.…

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

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Q: Find the average of the function over the given interval. f(x) = x - x over [0, 2] 3 Plot the…

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Q: Let Find the average value of the function on the indicated interval f(x) = |x|, C1 *E[-3,3]. fav…

A: The given function is: fx=x, x∈-3,3 To find the average value of the function on the indicated…

Q: ¯(x) = 6x - 4x x² +1 n [-3,0] on

A: Average

Q: Find the average of the function over the given interval. f(x) = x³ - x over [0, 2] -1/4 Plot the…

A: Given- f(x)=x3-x We need to find average over the function over [0,2] Average value of f(x) is given…

Q: Let f(¹) = √2 +2. Since f(x) is differentiable on [-2, 7], by the Mean Value Theorem, we know there…

A: Mean value theorem (MVT) If  f(x) is a real valued function in the interval [a,b] which satisfies…