Solve the problem.Suppose that the amount in grams of a radioactive substance present at time t (in years) is given by A(t) = 250e-0.88t. Find the rate of change of the quantity present at the time when

A. 80.4 grams per year
B. -80.4 grams per year
C. -2.7 grams per year
D. 2.7 grams per year

Answer: C

Mathematics

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Find T, N, and B for the given space curve.r(t) = (cosh t)i + (sinh t)j + k

A. T = - (tanh t sech t)i + j + (sech t)k; N = (-sech t)i - (tanh t)k;
B. T = - (tanh t)i + j + (sech t)k; N = (-sech t)i - (sinh t)k ;
C. T = (tanh t sech t)i + j + (sech t)k; N = (sech² t)i - (sinh t)k;
D. T = (tanh t)i + j + (sech t)k; N = (sech t)i - (tanh t)k;

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Mathematics

Solve the problem.Player R has two cards: a red 2 and a black 8. Player C has three cards: a red 3, a black 5, and a black 10. They each show one of their cards. If the cards are the same color, C receives the larger of the two numbers. If the cards are of different colors, R receives the sum of the two numbers. The payoff matrix is : Find the value of the game.