Evaluate.

A. 5
B. -5
C. -4
D. -6


Answer: A

Mathematics

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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 0 for r(t) = t2i  + (7t3 - 8)j + k

A. a(0) = 2i - k
B. a(0) = 2i - k
C. a(0) = 2i - k
D. a(0) = 2i + k

Mathematics

Find the center (h, k) and radius r of the circle with the given equation. x2 - 12x + 36 + y2 + 4y + 4 = 16

A. (h, k) = (-2, 6); r = 4 B. (h, k) = (2, -6); r = 16 C. (h, k) = (6, -2); r = 4 D. (h, k) = (-6, 2); r = 16

Mathematics

Simplify the expression.90

A. 9 B. -1 C. 0 D. 1

Mathematics

Solve the problem. The growth rate of a certain stock is modeled by  where V = the value of the stock, per share, after time t (in months), and k = a constant. Find the solution to the differential equation in terms of t and k.

A. V = 39 - 10ekt B. V = 39 - 10e-kt C. V = 39 - 39e-kt D. V = 29 - 10e-kt

Mathematics