Solve the problem.The surface area S (in square inches) of a cylindrical pipe with length 12 inches is given by S(r) = 2?r2 + 24?r, 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 surface area S of the pipe as a function of the time t.
What will be an ideal response?
S(t) = 
?t4 + 4?t2
You might also like to view...
Use the definition to find an expression for the instantaneous acceleration of an object moving with rectilinear motion according to the given function. The instantaneous acceleration is defined as the instantaneous rate of change of the velocity with respect to time. s = 4t2 + 5t - 2[s is the displacement. Find v, then find a]
A. 4 B. 8t + 5 C. 8 D. 0
Provide an appropriate response.Which of the following inequalities satisfies the following description: the region inside an ellipse centered at the origin, with x-intercepts at (-8, 0) and (8, 0), and y-intercepts at (0, -4) and (0, 4)?
A. 
- 
< 1
B. 
+ 
> 1
C. 
+ 
< 1
D. 
+ 
< 1
Use properties of polynomials to simplify the expression.
A. 
B. 
C. 
D. 
Find the exact value of the composition.cos 
A. 
B. 
C. 
D. 