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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
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]
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