heatherlemaster
16.07.2020 •
Mathematics
Chegg An evergreen nursery usually sells a certain shrub after 5 years of growth and shaping. The growth rate during those 5 years is approximated by dh/dt = 1.5t + 4, where t is the time in years and h is the height in centimeters. The seedlings are 12 centimeters tall when planted (t = 0). (a) Find the height after t years.
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Ответ:
h(t) = 1.5t²/2 + 4t +12
Step-by-step explanation:
The growth rate is given by
dh/dt = 1.5t + 4
To determine the height of the seedlings we integrate the rate with respect to t.
The integral of dh/dt = integral of 1.5t + integral of 4
The integral of dh/dt = h
The integral of dh/dt = 1.5t²/2 + 4t
So at t = 0
h = 12
That makes the equation
h = 1.5t²/2 + 4t +12
Where 12 is the constant
So h(t) = 1.5t²/2 + 4t +12
Will give us the height after t years
Ответ:
Step-by-step explanation:
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