SOLUTION: https://gyazo.com/3ef3cdf7a2043919626ad370b10d2516

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Question 1179648: https://gyazo.com/3ef3cdf7a2043919626ad370b10d2516
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
the avarage rate of change in given interval is:
given:
y=4sin%28x%29-7
recall: y=f%28x%29
pi%3C=x%3C=4pi%2F3
=>

the avarage rate =%28f%28x%5B2%5D%29-f%28x%5B1%5D%29%29%2F%28x%5B2%5D-x%5B1%5D%29

if x%5B1%5D=pi find

f%28x%5B1%5D%29=4sin%28pi%29-7....sin%28pi%29=0
f%28x%5B1%5D%29=4%2A0-7
f%28x%5B1%5D%29=-3


if x%5B2%5D=4pi%2F3 find
f%28x%5B2%5D%29=4sin%284pi%2F3%29-7....sin%284pi%2F3%29=-sqrt%283%29%2F2
f%28x%5B2%5D%29=4%2A%28-sqrt%283%29%2F2%29-7
f%28x%5B2%5D%29=-7+-+2sqrt%283%29

then

the avarage rate =%28-7+-+2sqrt%283%29-%28-3%29%29%2F%284pi%2F3-pi%29
the avarage rate =%28-7+-+2sqrt%283%29%2B3%29%2F%28pi%2F3%29
the avarage rate =-%286+%282+%2B+sqrt%283%29%29%29%2Fpi-> exact solution
or
the avarage rate =-7.13