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Pre-Calc Homework Solutions 362

# Pre-Calc Homework Solutions 362 - 362 Chapter 8 Review 61...

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Unformatted text preview: 362 Chapter 8 Review 61. dy y(500 y) 1 y(500 y) 0.002 dx A y B 500 y 63. y 1 1 tan , dy 3 1 sec2 3 d , sec 2 2 2 9y 1 2 1 tan 2 1 A(500 (B A)y y) By 500A 1 . 500 1/500 dy 500 y 1 ln 500 500 3 dy 9y 2 sec2 sec d sec ln sec ln y C1 1 d tan 9y 2 3y C C 1 and x 1 . 3 where A dy y(500 y) 1 ,B 500 1/500 dy y 1 ln y 500 Integrate by using Formula 88 with a Use Figure 8.18(a) from the text with a 64. t 1 1 sin , dt 3 1 cos 3 . 1 y ln 500 500 y 1 y ln 500 500 y C1 C2 d , cos2 cos 1 cos 3 2 2 C1 C 0.002x ln y 500 y 9t 2 1 1 9t 2 dt sin2 x ke x 0, y d y 500 y Substitute x 20 480 20. ke0 or k 1 x e 24 1 24 y 500 y 24y (e x y y 62. dy y2 y2 1 dy 500e x 24)y 500 e x e x 24 1 500 24 e dx x 1 1 1 yex 500e x 1 cos2 d 3 1 cos 2 d 6 sin 2 C 6 12 sin cos C 6 6 sin 1 3t 3t 1 9t 2 C 6 6 1 1 sin 1 3t t 1 9t 2 C 6 2 1 Use Figure 8.18(b) with a and x t. 3 65. x x 3 sec , dx 5 3 sec 5 tan , 0 9 tan2 d 2 25x 2 1 dx 9 5 dx 9 sec2 3 sec 9 9 tan x 1 25x 2 3 tan tan tan y y C1 ln x ln x 1 0, y 1 C 4 C2 sec ln sec ln 5x 3 d tan 25x 2 3 9 C1 C1 9) C 1 and x . Substitute x tan tan y 1 4 1 C ln x 1 1 tan tan 1 1 y 4 4 ln (5x 25x 2 tan ln x Integrate by using Formula 88 with a Use Figure 8.18(c) with a 3 . 5 ...
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