An electronic device draws a current given by amperes

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

An electronic device draws a current given by

I(t)=t^{3}-4t+6

amperes, where

t

is the number of seconds after the device is turned on. The total charge that has passed through the device is

Q(t)=\displaystyle\int_{0}^{t} I(u)\,du

coulombs. Using a graphing calculator, determine the time

t

, to the nearest hundredth of a second, when the total charge first reaches 30 coulombs.