Chapter 12, Problem 36RE

(a)

To determine

To convert: The polar equation $r=\frac{4}{\sin \theta +\cos \theta }$ in Cartesian coordinates and identify the curve obtained.

(b)

To determine

To graph: The curve described by the polar equation $r=\frac{4}{\sin \theta +\cos \theta }$ and indicate the position of the points corresponding to $\theta =0,\frac{\pi }{2}\text{ and 2}\pi$.

(c)

To determine

To find: The interval for $\theta$ on which the entire curve is generated.