MTH251 MTH251 9) Suppose the value of an item is given by the function V(t). The value is being measured in thousands of dollars and t is being measured in years since 2010. d. Sketch P over the domain t E[0, 15]. Illustrate the quantities you Interpret the following: computed in part c. Discuss what these quantities represent graphically and what the values you've computed tell you about the shape of the a. V(0) curve . b. V (5 ) c. V (5) -V(0) d. V-(5) 11) Given f(x) = x2, g(x) =_ x1' ((x) = 3x -1, and N(x) = et, write formulas for: a. f(I(x) ) 10) A population grows exponentially at a continuous rate of 3% per year. The population is initially 50,000. a. Write a formula for P(t). b. If (x) ) b. Evaluate and interpret: i. P(0), P(5), P(10), and P-(75,000) c. N(I(x) ) d. g(l(f (x))) . Evaluate and interpret the average rate of change of P over the intervals t E[0,5] and t =[5,10]