SOLUTION: A function is given. (a) Determine the net change between the given values of the variable. f(t) = 5t^2; t = 3, t = 3 + h
Algebra ->
Functions
-> SOLUTION: A function is given. (a) Determine the net change between the given values of the variable. f(t) = 5t^2; t = 3, t = 3 + h
Log On
Question 1187054: A function is given. (a) Determine the net change between the given values of the variable. f(t) = 5t^2; t = 3, t = 3 + h Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! f(t+h)=5t^2+10th+h^2
subtract 5t^2
get 10th +h^2
divide by h
get 10t+h, and if t=3 that is 30+h net change.
---
f(3)=45
f(3+h)=45+30h+h^2
subtract first from the second
get (30h+h^2)/h
=30+h
