5. Find a value c in [1,3] such that f(c) is equal to the average value of f(x) = e2* + 1 on [1,3].

Q: Evaluate the function f(x) = e* + In (x + 7) at c, where –7 < c < 6.

A: Given information : f(x)=ex+ln(x+7) 'c' lies between -7 and 6

Q: P 2. ( a) Find the average value of f on [9,25]. b) Find all c in [9, 25] such that f(c) = favg.…

A:

Q: 4. Find the absolute extrema of f(r) = 7r/3 - r7/3 over the interval [-8, 8].

A: Given function is

Q: Calculate Rs for f(x) = 6 - x over ver [3,5]. R8 IE

A:

Q: The average value of f (x) = x – 4x on [3,9] is -3 90 O 15 O 4

A:

Q: Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find (1) and s'(4). y…

A:

Q: Determine a potential function to evaluate (F*dR for C any path from the first point to the second.…

A: Given:F=3x2(y2−4y)i^+(2x3y−4x3)j^​Two points: (x1, y1) = (-1, 1)(x2, y2) = (2, 3)To determine a…

Q: Apply the Mean Value Theorem (i.e., find the possible c-value in [-12,0]) on the function f(x) = V4…

A:

Q: Calculate M6 for f(x) = 5 · In(æ³) over [1, 2].

A: Given:   f(x)=5.ln(x3) over [1,3]

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 16/x on the interval [0,…

A:

Q: 2 +3. Determine c such that f(c) is the average value of f(x) f(x) = Let on [1, 4].

A: Topic: application of integration