Solve the problem.A water tank is formed by revolving the curve y = 3x4 about the y-axis. Find the volume of water in the tank as a function of the water depth, y.

A. V(y) = y1/2
B. V(y) = y3/2
C. V(y) = y3/2
D. V(y) = y9

Answer: B

Mathematics

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Solve the differential equation.x + 2y = 5 - , x > 0

A. y = , x > 0
B. y = , x > 0
C. y = , x > 0
D. y = , x > 0

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Use the distributive property to remove parentheses and write the product as a sum. Simplify if possible.6(6x + 2)

A. 36x + 2 B. 48x C. 12x + 8 D. 36x + 12

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Find the average rate of change of the function as x changes from a to b.h(x)= 4x2; a = 3, b = 5

A. -32 B. 8 C. -8 D. 32

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Simplify.153.3 - 5.44 × 7.06

A. 1043.8916 B. 114.8936 C. 149.45936 D. 118.0036

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