A flow-rate model for water entering a reservoir is given by F(t)= cases 60t, & 0 t<2

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

A flow-rate model for water entering a reservoir is given by

F(t)=\begin{cases} 60t, & 0\le t<2,\\ kt^{2}, & 2\le t\le4, \end{cases}

where

t

is measured in hours and

F(t)

in liters per hour. Determine the value of

k

that makes

F

continuous on

[0,4]