Calculus For Students In The Social And Biological Sciences

3. (7pt) A company is accumulating capital at a rate of
D’(t) 2 900: + 5N2:2 + 102:
dollars per year, where t is the amount of time (in years) since the company began. (a) (4pt) Assuming that the company started with Do dollars in capital, find a formula
for D(t), the company’s total capital after 15 years. (b) (2pt) After five years, the company has a total of $30,500 in capital. How much
capital did the company start with? That is, What is Do? (c) (1pt) How much capital will the company have 10 years after it began? Math