Chapter 6.2, Problem 1E

To determine

a.

To find:

The value of $y$ when $x+y=180$.

To determine

b.

To find:

The equation obtained after substituting the result obtained in part a in $P=xy$.

To determine

c.

To find:

The domain of the function obtained in part b.

To determine

d.

To find:

The value of $\frac{dP}{dx}$ and solve the equation $\frac{dP}{dx}=0$.

To determine

e.

To find:

The value of $P$ at points found in part d and also for end points.

To determine

f.

To find:

The largest value of $P$ and the corresponding values of $x$ and $y$.