Problem 62E

Parametric equations of ellipses Find parametric equations of the following ellipses (see Exercises 57–58). Graph the ellipse and find a description in terms of x and y. Solutions are not unique.

Parametric equation in exercises 57 and 58:

An ellipse centered at (0, −4) with major and minor axes of length 10 and 3, on the x- and y-axes, respectively, generated clockwise (Shift the parametric equations.)

Solution 62E

Step 1:

Given that

An ellipse centered at (0, −4) with major and minor axes of length 10 and 3, on the x- and y-axes, respectively, generated clockwise (Shift the parametric equations.)