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
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Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and y-intercepts.f(x) = 
A. x-intercept: 
, no y-intercept ;
B. x-intercept: 
, no y-intercept ;
C. x-intercept: (0, 0) , y-intercept: (0, 0) ;
D. x-intercept: (1, 0) , no y-intercept ;
Determine if the given polar coordinates represent the same point.(6, -4?/3), (-6, 5?/3)
A. Yes B. No
Find the exact value. Do not use a calculator.cot 
A. 1 B. 0 C. -1 D. undefined
The Leslie matrix for a population of birds is 
The population vector for year 1 is 
(a) Estimate the population vector for year 2. (b) Estimate the population vector for year 3. (c) Estimate the population vector for year 15. (d) Estimate the long-term growth rate. 23.