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?
V(t) = ?t4
Mathematics
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List all the factors of each number.33
A. 3 ? 11 B. 3 ? 3 ? 5 C. 2 ? 3 ? 3 D. 3 ? 12
Mathematics
Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move BF-1.
What will be an ideal response?
Mathematics
Solve the equation.logx 49 = - 2
A.
B. {-7}
C.
D. {7}
Mathematics
For the given functions f and g, find the requested function and state its domain.f(x) = ; g(x) =
Find f ? g.
A. (f ? g)(x) = ; {x|x ? 0}
B. (f ? g)(x) = ; {x|x ? 3, x ? 5}
C. (f ? g)(x) = ; {x|x ? 15}
D. (f ? g)(x) = ; {x|3 ? x ? 5}
Mathematics