# Science:Math Exam Resources/Courses/MATH102/December 2015/Question 06

MATH102 December 2015
Other MATH102 Exams

### Question 06

If we assume that the amount of food gained in a food patch during time ${\displaystyle t}$ is

${\displaystyle f(t)=F_{max}{\frac {t^{2}}{k^{2}+t^{2}}}}$,

then

(a) The total amount of food in the patch is ${\displaystyle {\frac {F_{max}}{k^{2}}}}$ .

(b) Getting food from the patch is initially a slow process but then it speeds up for a while.

(c) It takes a time ${\displaystyle t=k}$ to get all the energy out of the patch.

(d) It takes a time ${\displaystyle t={\frac {k}{2}}}$ to get all the energy out of the patch.

(e) There is unlimited energy in the patch.

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