# Science:Math Exam Resources/Courses/MATH102/December 2017/Question 14 (a)

MATH102 December 2017
Other MATH102 Exams

### Question 14 (a)

The males of the magnificent frigatebirds have a bright red throat pouch that gets inflated like a balloon to attract females during mating season. Suppose that the rate of change of the volume during inflation is

$V'(t)={\frac {100\pi }{15}}\left(20-t\right)$ measured in ${\textstyle \mathrm {cm} ^{3}/\mathrm {min} }$ for ${\textstyle 0\leq t\leq 20}$ . At ${\textstyle t=0~\mathrm {min} }$ , the pouch is empty.

(a) Find the function ${\textstyle V(t)}$ for the volume at time ${\textstyle t}$ during inflation.

(Hint: consider a simple antiderivative.)

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