A population is modeled by for and for

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

Problem

A population is modeled by

P(t)=A e^{0.3t}

for

0\le t\le2

and

P(t)=B e^{-0.1(t-2)}

for

t>2

. Determine the equation that relates the constants

A

and

B

so that

P(t)

is continuous at

t=2