7. (6 points) Decide whether the following statements are true or false. If the statement is false, explain why or give an example demonstrating that it is false. If the statement is true, you should provide a clear explanation or prove that it is true. 0C 00 00 (a) Suppose ck > U and in; > U for all k. If 2 ok and Zinc both diverge, then the series Shaking) is=1 i=1 19:] must also diverge. d (b) y = t + 1 + 28f is the solution to the initial value problem: calg: = y t and y(0) = 3. 2 (c) The curve given by the polar equation r = is a line. sin l9 3 cos l9 (d) The foiiowing question is optional. If yon answer it correctly, you wiii get a bonus: +2 point! 00 Suppose (51, oz, (13, . .. are nonzero numbers. If the series in + G2 | (13 | (14 + - .. = 2 oh; k=1 DC converges, then (12 + (14 + as + as + . - . = E 02k must also converge. R521