Problem 3. True or false Problem 6. Evaluate the following limits. 1. f (x) = 1 sin(m) has 6 solutions on [0, (in) (3) lim sin (4x) 240 31 2. g(z) = 7 7 sin(7z) has 7 solutions on [0, 27r). l . ' sin (J; 6) 3. p(2) = sin(7a:) has 7 solutions on [0,1r). (b) 5115316 5 _ 36 4. 9(1) = 1 7 sin(%) has 1 solution on [0,81r). (c) lin: tan(z) Problem 4. For each part, nd all solutions to the given equation within the given set of values zW 10:0 1. 0052(9) = g for a e[0,1r) 2. Zoos(9)sin(9) = sin(9) for 0 E [0,21r) _ 2 (d) Ell}, sm (131+ 53) 3. 1 +sin(9) = g for 9 E [1r,7r) Problem 5. Find all solutions to the following equations for 0 5 0 0 the string is stretched out and when 3(t)