Determine whether the following statements are true and give an explanation or counterexample. a. The point with

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Determine whether the following statements are true and give an explanation or counterexample.

a. The point with Cartesian coordinates (-2, 2) has polar coordinates (2√2, 3π/4), (2√2, 11π/4), (2√2, -5π/4), and (-2√2, -π/4).

b. The graphs of r cos θ = 4 and r sin θ = -2 intersect exactly once.

c. The graphs of r = 2 and θ = π/4 intersect exactly once.

d. The point (3, π/2) lies on the graph of r = 3 cos 2θ.

e. The graphs of r = 2 sec θ and r = 3 csc θ are lines.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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