Based on your results in Exercise 71, fill in the blanks

Chapter 8, Problem 72

(choose chapter or problem)

Based on your results in Exercise 71, fill in the blanks with the correct responses. (a) The graph of r = 1u2 is symmetric with respect to the polar axis if substitution of for u leads to an equivalent equation. (b) The graph of r = 1u2 is symmetric with respect to the vertical line u = p2 if substitution of for u leads to an equivalent equation. (c) Alternatively, the graph of r = 1u2 is symmetric with respect to the vertical line u = p2 if substitution of for r and for u leads to an equivalent equation. (d) The graph of r = 1u2 is symmetric with respect to the pole if substitution of for r leads to an equivalent equation. (e) Alternatively, the graph of r = 1u2 is symmetric with respect to the pole if substitution of for u leads to an equivalent equation. (f) In general, the completed statements in parts (a)(e) mean that the graphs of polar equations of the form r = a { b cos u (where a may be 0) are symmetric with respect to . (g) In general, the completed statements in parts (a)(e) mean that the graphs of polar equations of the form r = a { b sin u (where a may be 0) are symmetric with respect to .