Find the average value of the function f(x)=−4sin(x) on the interval [π2,3π2] and determine a number c in this interval for which f(x) is equal to the average value.

Step-by-step explanation:

The average value theorem sets:

if f (x) is continuous in [a, b] and derivable in (a, b) there is a c Є (a, b) such that

, where

f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4

f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4

⇒

c≅130

step-by-step explanation:

if i did my math right then the answer should but 108