Solve the problem.A water tank is formed by revolving the curve y = 6x4 about the y-axis. Water drains from the tank through a small hole in the bottom of the tank. At what constant rate does the water level, y, fall? (Use Torricelli's Law: dV/dt = -m.)

A.  = 
B.  = 
C.  = 
D.  = 


Answer: B

Mathematics

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Use the Comparison Test to determine if the series converges or diverges.

A. diverges B. converges

Mathematics

Answer the question.Determine if 546 is divisible 2, 3, 5.

A. 2, 3 only B. 3 only C. 2 only D. 2, 3, 5

Mathematics

Provide an appropriate response.It can be shown that an ellipse with foci (c, 0) and (-c, 0) where the sum of the distances from any point (x, y) of the ellipse to the two foci is 2a has equation  +  = 1. Use this result to find an equation of an ellipse with foci (3, 0) and (-3, 0), where the sum of the distances from any point of the ellipse to the two foci is 10.

A. x2 + y2 = 100
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Write an equation in slope-intercept form for the line shown.

A. y = x + 3
B. y = 4x - 3
C. y = 4x + 3
D. y = x - 3

Mathematics