Question

Find the average value g_ave of the function g on the given interval. g(x) = 4*cube root of x, [27, 64].

Answer 1

I am assuming you meant

g(x) = 5* cube root of x = 5*x^(1/3)

average of g(x) = 1/(64-27) integral (27,64) of 5*x^(1/3)

= (1/37)*5*{3/4x^(4/3)}on limits (27,64)

= (5/37)*(3/4)*(64^4/3 - 27^4/3)

= (15/148)*(256-81)

= 175*15/148

= 2625/148

Answer 2

Answer:

The correct answer is 2625/148...