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The population of mice in Alfred is given by P(t) = 2755est, where t is in years since 1986. The rate of change of the population is given by the formula mice/yr. In year 1989 the population changes by approximately mice. In 1989 606229 mice died, which means that mice were born that year.Let P(t) represent the price of a share of stock of a corporation at time t. What does each of the following statements tell us about the signs of the first and second derivatives of P(t)? (a) The price of the stock is rising faster and faster. The first derivative of P(t) is ? The second derivative of P(t) is ? (b) The price of the stock is close to maxing out. The first derivative of P(t) is ? The second derivative of P(t) is ? 2 positive zero negativeComplete the table below giving the amount P that must be invested at interest rate 9.5 \"/a compounded weekly to obtain a balance of A = $150000 in 15 years. Note: Answers should be correct to the nearest penny (i.e., correct rounded to 2 decimal places)