Please help thank you in advance

Question

Determine if the Mean Value Theorem for Integrals applies to the function  on the interval [0, 4]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem.



 No, the theorem does not apply. 

Yes, x = 1. 

Yes, . 

Yes, .

Answer 1

taking integral for area from 0 to 4, area=(4/3)*x^(3/2) from 0 to 4 = 32/3= area

mean value says there is a y value times 4 (the x interval) that equals 32/3 which is of course y=8/3