Solve the problem.A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is increasing at the rate of 4.3 feet per second. Find a function, r(t), for the radius in terms of t. Find a function, A(r), for the area of the ripple in terms of r. 

A. (A ? r)(t) = 8.6?t2
B. (A ? r)(t) = 18.49?t2
C. (A ? r)(t) = 18.49?2t
D. (A ? r)(t) = 4.3?t2


Answer: B

Mathematics

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Find the inverse of the given function.y = e x

A. y = log x e B. y = - e x C. y = x e D. y = log e x

Mathematics

Solve. Remember to insert units when writing your answer.In a lab experiment 700 ml of salt water were added to 1.67 L of water. Later, 230 ml of the solution were drained off. How much of the solution still remains?

A. 637 ml B. 2,140 ml C. 549.7 ml D. 2,386.7 ml

Mathematics

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. x3 + 4x2 - 10x + 12 = 0

A. {1 + i, 1 - i, 6} B. {1 + i, 1 - i, 6i} C. {-6, 6} D. {1 + i, 1 - i, -6}

Mathematics

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. 

A. x = 4, y = -3, z = -5, w = 2; (4, -3, -5, 2)
B. x = - , y = , z =  , w = - 
C. x = , y = - , z = - , w = 
D. x = -4, y = 3, z = 5, w = -2; (-4, 3, 5, -2)

Mathematics