What is the average rate of change of the function

Cazzaoro0w9

Cazzaoro0w9

Answered question

2022-04-17

What is the average rate of change of the function g(t)=(t+2)2 on the interval [t-h, t]?

Answer & Explanation

resacarno4u

resacarno4u

Beginner2022-04-18Added 12 answers

The average rate of change of a continuous function,
f(x), on a closed interval [a,b] is given by
f(x)=f(b)f(a)ba
So the average rate of change of the function g(t)=(t+2)2 on [t-h, t] is:
g=g(t)g(th)t(th)
=(t+2)2(th+2)2tt+h
=(t2+4t+4)(t2+h22ht4h4t+4)h
=t2+4t+4t2h2+2ht+4h+4t4h
=8th2+2ht+4hh

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?