SOLUTION :
Average value (fave) of the given function f(x) in interval (0, 1)
1
= ∫ f(x) dx / (1 - 0)
0
1
= 1/1 ∫ e^(x/7) dx
0
1
= 1/ (1/7) [ e^*x/7)) ]
0
= 7 * [e^(1/7) - 1]
= 1.075 (ANSWER)
Find the average value of the function on the given interval f(x)=e^x/7 IN DECIMAL FORM Find...
Find the average value of the function on the given interval. f(x) = eX/4; [2, 5] The average value is (Round to three decimal places as needed.)
Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = 10 In(x) (1, e) х
Find the average value of the function over the given interval. (Round your answer to three decimal places.) Find all values of x in the interval for which the function equals its average value.
Find the average value of the function over the given interval. (Round your answer to four decimal places.) f(x) = 16 – x2, [-4, 4] Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to four decimal places.) X = _______
Find the average value fave of the function f on the given interval. f(x) = x2/(x3 + 6)2, [-1, 1] fave =
Find the average value of the following function over the given interval. Draw a graph of the function and indicate the average value. f(x) = x(x - 1); (5,81 The average value of the function is t=0 Choose the correct graph of f(x) and f below. Ов. OA AY 60- OD. o 60- 60- 604 0- O 10 10
6. Find the average value for of the function f(x) = cost over the interval [0.21] and find c such that f(c) equals the average value of the function over [0, 2x].
Find the average value fave of the function f on the given interval. RO) = 8 sec (0/6), (0, 32] fave = Fee
Find the average value fave of the function f on the given interval. f(r) 14x-2, (0, 5) fave
Find the average value gave of the function g on the given interval. g(x) = 5x2 1 + x3, [0, 2]