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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The position vector of a particle is r(t). Find the requested vector.The acceleration at t =  for r(t) = (5t - 4t3)i  + 2tan(3t)j + e4tk

A. a = 2?i + 72j + 16e1/3?k
B. a = - 2?i + 72j + 16e1/3?k
C. a = - 2?i - 72j + 16e1/3?k
D. a = - 2?i - 72j + 16k

Mathematics

Provide an appropriate response.Let p = 500 - q represent a demand equation for a product where p is unit price and q is quantity with the restriction 0 ? q < 1000. Express the quantity q as a function of p.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = 

A.

B.

C.

D.

Mathematics

Find the domain of the logarithmic function.f(x) = log9(x2 - 10x + 25)

A. (5, ?) B. (-?, 5) ? (5, ?) C. (-5, ?) D. (-?, 0) ? (0, ?)

Mathematics