ANSWERS 469 



(22) 10-6 knots (28) 1-81* (24) 1" (25) h - 20-78*, b - 12* 

 (26) y^ - 1-705 when t = 0-002881, t/ min - - 0-265 when 

 t - 0-008414 (27) rad. = 1$", ht. = 1* 



(28) rad. - 1", ht. - 2" (29) rad. = If, ht. - $* 



(80) a = 900, b - 60,000, m = - 406, n = 738-6, V = 858-8 

 (31) 6 - 79 16', x = 0-9108 ft. 



IX (pages 141, 142) 



(1) 8-75, 9, 4t/ = I5x - 7, y = Qx - 11, 8 36' 



(2) 8, y = Sx - 9, 8y + x = 58 



(3) (8, 8), ( - 2, 3), 35 32', 59 2' 



(4) y = 48# - 64, x + 48t/ = 1538 



(5) y = 1-059# + 3-539, y + 0-9535* = 7-564 



(6) (1-871, 1-225), 66 26' (7) (2-058, 0-4897), 90 



(8) (2-121, 1-885), (-2-093, - 1-485), 103 21', 116 8' 



(9) a = 4-315, n = 0-765, 2-805, (0-2782, 1-621), (8-507, 22-20) 



(10) (8, 8), 36 52' 



(11) a = 3-036, b = 0-1423, y = 0-88x + 1-744, y = 11-86 - M3&r 



(12) 14-27, 73-16, 196-3 



(13) a = 1-32, 6 = 0-5, 11-68, ( - 6-507, 10-75) 



(14) a = 21-49, b = 7-131, c = 1-993, R = 141-6 



(15) (34-27, 58-55), 22 56' (16) - 6-25, - 3-2 

 (17) 2-828, (4, 4) (18) (2, 4) (19) (0-7071, 0-6065) 



X (pages 155, 156) 





(1) g log e (ar 2 + 4# + 7) (2) V 3 * 2 + 4.r - 7 



(3) Iog e (l 0ge x) (4) log e sin- 1 x 



(5) log, tan- 1 x (6) log. (* + 



(7) log, cosh x (8) ^(tan- 1 a?) 



(9) (sin- 1 xY 

 2 



(15) log e (^ - 5) - log,(aj - 3) (16) * + log, 



4/r 



(17) - 2 log e (3 - x) - 3 lo ge (3 + x) (18) log, 

 (19) llog^-4)-log,(5 a; +2) 



