Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.x = 4y2, x = 4

A. 6?
B. ?
C. ?
D. ?


Answer: B

Mathematics

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Find the equilibrium solution of the equation. Use a sketch of the direction field for  to determine whether the equilibrium is stable.y'(t) + 5u + 25 = 0

A. y = -5; unstable
B. y = ; unstable
C. y = - ; stable
D. y = 5; stable

Mathematics

If y varies directly as x, find the direct variation equation for the situation.y = 4 when x = 32

A. y = x
B. y = 8x
C. y = x
D. y = x + 28

Mathematics

Solve the equation.5 + 6 ln x = 2

A.
B.
C. {e -1/2}
D.

Mathematics

Solve.A town has a population of 1000 people and is increasing by 9% every year. What will the population be at the end of 9 years?

A. 1810 B. 1993 C. 2172 D. 2367

Mathematics