Determine if the function F is the general antiderivative of the function f. F(t) = 5t2 + 3et + C; f(t) = 10t + 3e

Name: Determine if the function F is the general antiderivative of the function f. F(t) = 5t2 + 3et + C; f(t) = 10t + 3e
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Question

Determine if the function F is the general antiderivative of the function f. F(t) = 5t2 + 3et + C;  f(t) = 10t + 3e

Quizplus · Accepted Answer

To check if F is the general antiderivative of f, we need to take the derivative of F and see if it matches f. 
dF/dt = 10t + 3e 
Since dF/dt = f, we can conclude that F is indeed the general antiderivative of f.

Determine If the Function F Is the General Antiderivative of the Function