Hello, eigenvector11!

Cartesian: .For each of the described curves, decide if the curve would

be more easily given by a polar or a Cartesian equation.

Then write an equation for the curve:

1. A circle with radius 5 and center (2,3).

Polar: .2. A circle centered at the origin with radius 4.

Formula: .A length of curve problem:

Find the length of the curve: .

We have: .

. . . . . . . .

Then: .

. . . . .

.

. . . . . .

Hence: .

Therefore: .

Since this definite integral comes out to zero,

. . I suspect the graph has symmetry about the origin.

I'll let you work out the details . . .

.