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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Solve. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent.Write the equivalent decimal and percent for 
.
A. 0.665; 665% B. 0.545; 5.45% C. 0.545; 54.5% D. 0.665; 66.5%
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Find the volume of the indicated region.the solid cut from the first octant by the surface 
A. 
B. 
C. 
D. 
Mathematics
Solve the problem.Write an iterated triple integral in the order 
for the volume of the tetrahedron cut from the first octant by the plane 
.
A. 
B. 
C. 
D. 
Mathematics
Simplify.
A. 
B. 
C. 
D. 
Mathematics