An evergreen nursery usually sells a certain shrub after 6 years of growth and shaping. The growth rate during those 6 years is approximated by dh/dt=3.5t+7 where t is the time in years and h is the height in centimeters. The seedlings are 15 centimeters tall when planted (t=0) . Find the height after t years.

Question

anonymous · Answer

dh=(3.5t+7)dt

Integrating both sides,
h=1.75t^2+7t+c where c is an arbitrary constant. You can solve it further from here.
t=0, c=15.
h=1.74t^2+7t+15

anonymous · Answer

how do you integrate? @NeetziD

anonymous · Answer

$$\int\limits_{ }^{} $$

anonymous · Answer

The RHS is $$\int\limits_{}^{} (3.5t+7) dt$$

anonymous · Answer

i got h=3.5dt+7dt and thats not an option in my choices