Solve the problem.Find the centroid of the region cut from the fourth quadrant by the circle x2 + y2 = 4.
A. =
,
= -
B. =
,
= -
C. = -
,
=
D. =
,
= -
Answer: D
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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. 105.479 in.3 B. 62.876 in.3 C. 61.856 in.3 D. 101.552 in.3
Find the composition. If f(x) = 2x + 2 and g(x) = x + 4, find (g ? f)(x).
A. 2x2 + 10x + 8 B. 2x + 10 C. 2x + 6 D. 2x2 + 10
Provide an appropriate response.The cash price of an item is the amount you would have paid if the full amount was paid at the time of purchase.
A. True B. False
Perform the indicated operations and write the result in standard form.
A. -5 - i
B. -5 + i
C. -5 - i
D. 5 + i