Solve the problem.The volume V of a right circular cylinder of height 2 and radius r is V(r) = 2?r2. Find the instantaneous rate of change of volume with respect to radius r when r = 7.

A. 23? ft3/ft
B. 32? ft3/ft
C. 28? ft3/ft
D. 98? ft3/ft


Answer: C

Mathematics

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Find the flux of the curl of field F through the shell S.F = 4yi + 2xj + cos(z)k ; S: r(r,?) = 4 sin ? cos ?i + 4 sin ? sin ?j + 4 cos ?k, 0 ? ? ? 2? and 0 ? ? ? 

A. -32 B. 64? C. -32? D. -64?

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Solve the initial-value problem y?? ? 2y? + 5y = 0, y (0) = 1, y?(0) = ?1

What will be an ideal response?

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Clear fractions then solve by substitution. -  = -    = 

A.
B.
C.
D.

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Write a positive or negative integer that describes the situation.The sales at Andrea's Formal Wear Shop this week were $4684 less than the sales last week.

A. 4684 B. -4684

Mathematics