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?
Mathematics
Solve the initial-value problem y?? ? 2y? + 5y = 0, y (0) = 1, y?(0) = ?1
What will be an ideal response?
Mathematics
Clear fractions then solve by substitution. -
= -
=
A.
B.
C.
D.
Mathematics
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