Use the product rule to simplify.

A. 2
B. 7
C. 20
D. 6


Answer: D

Mathematics

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Solve the problem.The height of a vase is 5 inches. The table shows the circumference of the vase (in inches) at half-inch intervals starting from the top down. Estimate the volume of the vase by using the Trapezoidal rule with n = 10. Round your answer to the nearest thousandth. [Hint: you will first need to find the areas of the cross-sections that correspond to the given circumferences.] Circumferences 

A. 61.856 in.3 B. 101.552 in.3 C. 105.479 in.3 D. 62.876 in.3

Mathematics

The annual interest rate and a line of an amortization schedule for a loan are given. Complete the next line of the schedule. Assume that payments are made monthly.

A.

B.

C.

D.

Mathematics

Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(x + 1)2 - 9(y - 2)2 = 9

A. center: (-1, 2)
transverse axis: x = -1
vertices: (-1, -1) and (-1, 5),
foci: (-1, 2 - ) and (-1, 2 + ),
asymptotes: y + 2 = - 3(x - 1) and y + 2 = 3(x - 1)
B. center: (2, -1)
transverse axis: y = 2
vertices: (-1, -1) and (5, -1)
foci: (2 - , -1) and (2 + , -1)
asymptotes: y + 1 = - (x - 2) and y + 1 = (x - 2)
C. center: (-1, 2)
transverse axis: y = 2
vertices: (-4, 2) and (2, 2)
foci: (-1 - , 2) and (-1 + , 2)
asymptotes: y - 2 = - (x + 1) and y - 2 = (x + 1)
D. center: (-1, 2)
transverse axis: y = 2
vertices: (-2, 2) and (0, 2)
foci: (-1 - , 2) and (-1 + , 2)
asymptotes: y - 2 = - 3(x + 1) and y - 2 = 3(x + 1)

Mathematics

Determine whether or not the function is one-to-one.f(x) = x3 + 8

A. Yes B. No

Mathematics