True-False Quiz [end of Ch.10 and Ch.9]

These are just for practice and don't affect your grade. I'm assuming you've read over the text (and especially the thms) in Edawrds and Penney 9 and 10.

True False. If f has a Taylor Series that converges to f on (-1,3), then so does f ¢.

True False. If f has a Taylor Series that converges to f on [-1,3], then so does f ¢.

True False. If f has a Taylor Series that converges to f on [2,3], then lim_n_®_¥ R_n(0) = 0.

True False. The McLaurin Series for tan^-¹(x) converges for all x.

True False. The McLaurin Series for sin² (x) converges for all x.

True False. The equations r = cos(4q) and r = -cos(4q) have the same graph.

True False. The equations r = cos(4q) and r = sin(4q) have the same graph.

True False. The graph of r = 1+ cos(q) is a cardioid.

True False. The area inside r = cos(4q) is ò₀^p cos²(4q) dq.

True False. The arc length of a polar graph is L=ò_a^b (r²+(r¢)²)^1/2 dq.

File translated from T_EX by T_TH, version 3.05. On 13 Apr 2002, 02:08. Written by S.Hudson