Answer: 1
/2 (
x
2 − 16
x + 6
)
Step-by-step explanation:
Inches per hour and centimeters per day I believe

Let
, so that
:

Now the ODE is separable, and we have

Integrating both sides gives

For the integral on the left, rewrite the integrand as

Then

and so


Given that
, we find

so that the particular solution to this IVP is


The tangential line at a certain point is just the derivative so.

. At the point (1,6) we plug the x value in and get the slope at the point (y ' = 2)
The tangential line at that point is
y - 6 = 2(x - 1) (this is the answer)