Chapter 10.1, Problem 49E

(a)

To determine

Write a differential equation to express the relationship between the rate of change of weight with the calorie excess or deficit.

(b)

To determine

The unit of $k$ if the units of $C-17.5w$ are calories per day.

(c)

To determine

The new differential equation considering the fact that $3500$ calories is equivalent to $1$ lb.

(d)

To determine

The solution of the differential equation $\frac{dw}{dt}=\frac{\left(C-17\cdot 5w\right)}{3500}$.

(e)

To determine

The coefficient of $e^{-0\cdot 005kt}$ in terms of $w_0$ and $C$.