University:
Whitman College
Course:
MATH-225 | Calculus III
Academic year:

2021
Views:

379

Pages:

1
Author:

verykoshinodat6y

Supplementary Exercises for Section 11.6 1. Plot the polar equations r = sin(θ) and r = cos(θ) and comment on their similarities. (If you get stuck on how to plot these, you can multiply both sides of each equation by r and convert back to rectangular coordinates). 2. Extend Exercises 11.6.6 and 11.6.11 by rotating the curve z = mx around the z axis and converting to both cylindrical and spherical coordinates. 3. Convert the spherical formula ρ = sin θ sin φ to rectangular coordinates and describe the surface defined by the formula (Hint: Multiply both sides by ρ) 4. We can describe points in the first octant by x > 0, y > 0 and z > 0. Give similar inequalities for the first octant in cylindrical and spherical coordinates. 1

Supplementary Exercises for Section 11.6

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