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

Mathematics

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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

Mathematics

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)

Mathematics

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

Mathematics

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

Mathematics