Calculate the area of the surface S.S is the portion of the paraboloid z = 2x2 + 2y2 that lies between z = 1 and z = 2.
A.
B.
C.
D.
Answer: A
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Solve the problem.Find the volume of the solid bounded by the ellipsoid +
+
= 1 and the planes
and
(The area of an ellipse with semiaxes a and b is ?ab.)
A. 4752.00? units3 B. 72.00? units3 C. 158.40? units3 D. 201.60? units3
Find the partial derivative of the dependent variable or function with respect to each of the independent variables.f(x, y) = sin2 (4xy2 - y)
A. = 8y2sin (4xy2 - y) cos (4xy2 - y);
= 2sin (4xy2 - y) cos (4xy2 - y)
B. = 8y2sin (4xy2 - y) cos (4xy2 - y);
= (16xy - 2) sin (4xy2 - y) cos (4xy2 - y)
C. = 2sin (4xy2 - y) cos (4xy2 - y);
= 2sin(4xy2 - y) cos(4xy2 - y)
D. = 2sin (4xy2 - y) cos (4xy2 - y);
= (16x - 2) sin (4xy2 - y) cos (4xy2 - y)
Dr. Drake is thinking about retirement and decides to sail around the world once he retires. He buys a sailboat for $125,000. He borrows the money at an APR of 7.5% for five years. What will his total interest be?
A. $46,875.30 B. $36,875.40 C. $25,284.61 D. $17,388.80
Solve.A cruise boat travels 36 miles downstream in 4 hours and returns to its starting point upstream in 12 hours. Find the speed of the stream.
A. 9 mph B. 15 mph C. 3 mph D. 6 mph