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Use the Pythagorean theorem:
x = √(12.7^2 - 6.2^2)
x = √(161.29 - 38.44)
x = √122.85
x = 11.08
Round to 11.1 m
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.