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
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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.
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f(3)=45
f(3+h)=45+30h+h^2
subtract first from the second
get (30h+h^2)/h
=30+h
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