Suppose that the price of stock A is given by f(t) +/2+5 and the price of...

 

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Suppose that the price of stock A is given by f(t) +¹/2+5 and the price of stock B is given by g(t) = 0.1t3/2+5, where the price is measured in dollars (per share) and t represents time, measured in months. = (a) Use the first derivative to determine when (i.c. for which values of t) the stocks A and B are increasing in price. (b) Both A and B are increasing in price at t = 10 (i.c. at 10 months). Use the second derivative to determine the rate of change of the rate at which the prices are increasing at 10 months. (c) What does this suggest about their future performance? Suppose that the price of stock A is given by f(t) +¹/2+5 and the price of stock B is given by g(t) = 0.1t3/2+5, where the price is measured in dollars (per share) and t represents time, measured in months. = (a) Use the first derivative to determine when (i.c. for which values of t) the stocks A and B are increasing in price. (b) Both A and B are increasing in price at t = 10 (i.c. at 10 months). Use the second derivative to determine the rate of change of the rate at which the prices are increasing at 10 months. (c) What does this suggest about their future performance?

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SOLUTION a To determine when the prices of stocks A and B are increasing we need to find the values ... View the full answer