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Chapter 9: Q. 8 (page 583)

True or False The tests for symmetry in polar coordinates are necessary but not sufficient.

Short Answer

Expert verified

It is false that the tests for symmetry in polar coordinates are necessary but not sufficient.

Step by step solution

01

Step 1. Given Information

The graph is symmetric to the polar axis if by replacing $(r, θ)$ to $(r, - θ)$ gives an equivalent equation.

02

Step 2. Determining whether the statement is true or false

The tests for symmetry in polar coordinates are sufficient but not necessary.

Therefore, the given statement is false.

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Most popular questions from this chapter

Use the vectors in the figure at the right to graph each of the following vectors.

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