Answer ASAP PLEASEEE for business algebra

The amount of money (in billions of U.S. dollars) that a country spends on research and development can be approximated by the function f(t) = 41 e 0-151, where t= 0 corresponds to the year 2000. (a) Find the value of the derivative in the years 2005, 2008, and 2015. (b) What does the answer in part (a) suggest about the rate at which research and development spending is changing in the country? (a) The derivative of the function is f'(t) = The value of the derivative in the year 2005 is (Round to two decimal places as needed.) The value of the derivative in the year 2008 is (Round to two decimal places as needed.) The value of the derivative in the year 2015 is (Round to two decimal places as needed.) (b) The rate of spending on research and development is K