Answers to Even-Numbered Exercises
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1 Answers to Even-Numbered Eercises Chapter Eercises. page ) ) z yz 0) y 6 y 8 y y 4 y Eercises. page 6 ) p ) 0) y y y ) w 5, 8 y y y, Eercises. page ) 8) 0) y s ) st tu y stu y 4y 4 y 8) 0) yz y 70 y y ) y 4 y 9 y 7 y y 8) y 4 4 y y 4 y y 6 y z 0) ) y z Eercises.5 page 5 ) 8) 0) ) ) 56 0) ) Yes 8) No (Try a 5, b 4 4y 0) No (Try, y 4 ) 4 Eercises.6 page 8 ) $66.0 8) $ ) $40.00 ) a) $8000 $,000 $000 d) 7.5% 5 ) y z yz y y y yz y Eercises.7 page ) a) Eercises.4 page 9 4 ) 8) 0) y 6 a) ).8 0 5
2 Answers to Even-Numbered Eercises Eercises.8 page ) a) [, 5) [, ] ( 5, ] a) Chapter Eercises. page 8 ) a) 4 4 y 7 49 as d) 4 b 4 a) a 5 b 9 4 ay b 7 8) a) (,, 5 (5,, 7 Chapter y 7 y 4 47 Eercises. page 5 [ ) 5 [ 5 ) ) ) 7 ) [ [ ) z 0) 00,000; purchase ) z y y z 8) y y y z z 0) 60 sq. in. ) 0 in. Eercises. page 9 ) 4, 4 8), 7 0) ), 4, 5 i 8) 0) y 5, ) y y ft. 4 in. Eercises. page 45 ) 9,,, 8), i, 0) 5,, ), 5,, i 6 8) 0) ), 70 8), 0) ohms Chapter 4 Eercises 4. page 5 ) a) 4 t t t t t t d) t t z z a), 8) a), q
3 Answers to Even-Numbered Eercises y 7 8) y 0) y (, 6 4 ), q 0) N N 9 ) y 9 4 (4, ) Eercises 4. page 59 ) (0, 0) y =.5 y (,.5) (, 5) f() = 5 (0,.0)
4 4 Answers to Even-Numbered Eercises y Eercises 4.4 page 66 5 ) + 8) 0) y 0 y y = Eercises 4. page 64 ) See Figure 4.6 See Figure 4.0 See Figure 4.0 8) See Figure 4.9 0) An estimate for the most likely value of y when a) + is stretched vertically by a factor of to get. is compressed vertically by a factor of to get Flipping across the -ais yields and. respectively.,
5 Answers to Even-Numbered Eercises 5 Eercises 4.5 page 69 ) a) ( ) y = 8) + ( + ) 0) g() = y = g() 4 4
6 6 Answers to Even-Numbered Eercises ( + ) + 4 y = 4 Eercises 4.6 page 7 ) = ( ) ( ) a) 8) ( (.4, 7.) ( + )
7 ( Answers to Even-Numbered Eercises 7 0) Eercises 5. page 79 ) 4 y y 4 y y y y = 5 s 4t9s st 6t + 5 8) 0) s t4s 6st 9t y zy z6y 4 4y z z 4 ) ) 4 a 4a 6a 6 4 = ) ( y = 8) s s s 9s s s 0) y z Eercises 4.7 page 7 ) a) no intersection 4, Eercises 5. page 80 ) ya b y 4 y y y y a) no intersection 8) y y (, Chapter 5 Eercises 5. page 76 ) wz t y y yz yz z ( (, Eercises 5.4 page 8 ) irreducible 8) 4 0) 5 Eercises 5.5 page 86 ) 6 6
8 8 Answers to Even-Numbered Eercises 8) h h Eercises 5.6 page ) 6 y y 8) y y y 4 Chapter 6 Eercises 6. page 94 ) a) 4h h h a) 8) s h 0) ) h 8) 4 h h h h h h h h h 4 h Eercises 7. page 04 ) a) d) cos u a) 5, 4 5 Eercises 7. page 08 ) 8) 0) ) Eercises 7.4 page ) a).0 sin 5 Chapter 7 Eercises 7. page 98 5p 5p p ) a) d) 4 8 5p a) d) 60
9 Answers to Even-Numbered Eercises 9 4 cos + sin 4 4 sin cos cos 8) 4 y = 4 a) sin 0) sin sin y = cos amplitude = period = frequency = ) sin 7 5 sin + y = period = frequency =
10 0 Answers to Even-Numbered Eercises y 0) a) y y y tan u m. 4 Chapter 8 Eercises 8. page 8 ) a) sin t sin t Eercises 7.5 page 4 ) a) d) e) f) g) h) a) d) sin e) sin sin cos 4 cos cos 4 cos Eercises 8. page 9 ) f csc g csc f g 5 f sin g = = 8) f tan 0) g f sin tan ) g f cos g a b > 7 Chapter 9 Eercises 9. page 8) appro y y ) 6 y y y
11 Answers to Even-Numbered Eercises Chapter 0 Eercises 0. page 9 ) 4w 0,000 w 4a V A b 7a 00 pr pr A b a 0,000 pr 8) h 0) % pr ) $ t (if you compound at the end of each year); $8644 a) V 500 5t t in [0, 00] A b Eercises 0. page 5 ) c 5.57 A 69 B 5 Case : B 58.8 A 0. a 5.74 Case : B. A 8.8 a.66 Chapter Eercises. page 40 ) cos sin sec tan 5 Eercises 0. page ) 4., 48, 4, b 68 y 9.5 z.9 b z. cos cos cos 4 a) cos Appendi A Eercises A. page 44 ) a) as Sq, a b S 0 8) top angle left side right side base 00 h sin 50 h sin 0 h tan 50 h tan 0 0) 46 ft. ) 8.6 ft. as S q, a b Sq (, ) (0, ) (, )
12 Answers to Even-Numbered Eercises as Sq, a 5 b Sq as S q, a 5 b S 0 Eercises A. page 45 ) a) (, ) 5 (0, ) 5 (, ) e e + ( + ) e + y = a) sin sin 8) a) f sin g f g f sin d) y = g sin e
13 Answers to Even-Numbered Eercises e) ) If t is in hours, mass t e y = t As t Sq, mass Sq a) e + e Appendi B Eercises B. page 5 ) 5 a) sin e e sin 8) a) e e e e e y = 5 0) a) f e g f tan g e f e g tan d) f g e cos e) f e g e 5 5
14 4 Answers to Even-Numbered Eercises cos y y ) a) (, ) (0, ) (, ) The inverse does not eist, because cos y fails the horizontal line test. It passes the horizontal line test. t t The inverse (, ) 8) No inverse; fails horizontal line test. (, 0) (, ) ( ) Eercises B. page 55 ) t 0) No inverse; fails horizontal line test. cos f also. Hence f fails the horizontal line test. and f 8) a) Domain of f is [0, ]. Range of f is [, 4]. f It is invertible. + Not invertible.
15 Answers to Even-Numbered Eercises 5 Domain of g is [, 0]. Range of g is [, 4]. g log () + a) 5 5 8) 0) 0, p No. Eercises C. page 65 Appendi C ) 4 ( is etraneous) Eercises C. page 57 ) 4 8) 0) 4, 8 8).6 0) 0 9 ) 8 8 8) 000 0) Eercises C.4 page 68 ) Eercises C. page 6 ) a) e + (, ) 4
16 6 Answers to Even-Numbered Eercises = + ln ( + ) Eercises D. page 78 p ) a) 6 a) d). a) p (, /) 8), 5 0), ) ln for 7 0 e 5 e 7. 8) ) 0.6 (, /) / sec Appendi D Eercises D. page 7 ) a) p 6 p a) tan y = a) / sin (, /) (, /) sin ( ) Eercises D. page 8 ) a) 4 undefined because is not in the domain of p sin. 4 d) p a) d) y =
17 Answers to Even-Numbered Eercises 7 Appendi E Eercises E. page 84 ) y 6 6y 5 5y 4 0y 5y 6y
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