The rate of rise of water level (in cm) in a tank at time (in minutes) is given by

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

The rate of rise of water level

h

(in cm) in a tank at time

t

(in minutes) is given by

\dfrac{dh}{dt}=5-0.1t

. Initially, when

t=0

, the water level is

12\,\text{cm}

. Find

h(t)

and hence determine the water level after

10

minutes.