The gross domestic product (in billions of dollars) can be approximated by p(t)equals564 plus t left parenthesis 36 t superscript 0.6 baseline minus 103 right parenthesis, where t is the number of years since 1960. a) find upper p prime left parenthesis t right parenthesis. b) find upper p prime left parenthesis 45 right parenthesis. c) in words, explain what upper p prime left parenthesis 45 right parenthesis represents.

We have been given gross domestic product (in billions of dollars) can be approximated by .

(a) In this part, we need to compute the derivative of this function:

(b) In this part, we need to find the value of P'(45). So, we will substitute t=45

Billion dollars per year.

(c) P'(45)=462.39 represents that 45 years after 1960, that is, in 2005, the GCP was changing at a rate of 462.39 billion dollars per year.

is there a picture

step-by-step explanation: