Q. 9. - Calculus

Question

Explain how the symmetries of the graphs of polar functions

can be used to simplify area calculations

Step-by-Step Solution

Answer

To circumvent this problem, we calculate a portion of the entire area and multiply it by the number of other sections.

To put it another way, choose a known fraction of the total area and multiply it by the relevant factor.

Step 1: Given information

 Given statement is:  the symmetries of the graphs of polar function can be used to simplify area calculations

Step 2: We use the symmetry of the curves to calculate the area of some curves.

If a curve is symmetric, one component of it is positive and the other is negative. To avoid this problem, we calculate one part of the total area and multiply it by the number of other parts.

To put it another way, choose a known fraction of total area and multiply it by the relevant factor.