SOLUTION: Suppose {{{h(t)=t^2+11t+7}}}. Find the instantaneous rate of change of h(t) with respect to t at t=2.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Suppose {{{h(t)=t^2+11t+7}}}. Find the instantaneous rate of change of h(t) with respect to t at t=2.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 213374: Suppose h%28t%29=t%5E2%2B11t%2B7. Find the instantaneous rate of change of h(t)
with respect to t at t=2.





Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose h%28t%29=t%5E2%2B11t%2B7. Find the instantaneous rate of change of h(t)
with respect to t at t=2.

This is a calculus problem involving derivatives.

Step 1. So the first derivative of h(t) or h'(t) is the rate of change of h(t) with respect to t.

First derivative of h(t) = h'(t) = 2t%2B11

Step 2. At t=2, then h'(t)=2*2+11 = 15.

Step 3. The instantaneous rate of change of h(t) = h'(t) = 15.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. For Step-By-Step Videos in Trigonometry visit http://www.FreedomUniversity.TV.

Good luck in your studies!

Respectfully,
Dr J