Solve the problem.For what values of ? (0 ? ? < 2?) do maximum r-values occur on the graph of the polar equation  Note that a maximum r-value occurs at a point that is the maximum distance from the pole.

A.  
B. 0, ?
C. 0, , ?,  
D.  


Answer: A

Mathematics

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Solve the problem.The volume V (in cubic inches) of a cylindrical pipe with length 12 inches is given by V(r) = 12?r2, where r is the radius of the piston (in inches). If the radius is increasing with time t (in minutes) according to the formula r(t) = t2, t ? 0, find the volume V of the pipe as a function of the time t.

What will be an ideal response?

Mathematics

Find the derivative of the given function.y = (x2 + 4)3

A. 6x5 + 40x3 + 96x B. 6x5 + 24x3 + 48x C. 6x5 + 48x3 + 96x D. 3x5 + 48x3 + 96x

Mathematics

Simplify.(-5xy5)2  

A. -25x2y10 B. 25xy7 C. -25x10y10 D. 25x2y10

Mathematics

Answer the question about the given function.Given the function f(x) = , list the y-intercept, if there is one, of the graph of f.

A.
B. (0, -8)
C. (0, 7)
D.

Mathematics