Pre-Calc Homework Solutions 465

Pre-Calc Homework Solutions 465 - Appendix A5.3 A B C 1 2 3...

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Unformatted text preview: Appendix A5.3 A B C 1 2 3 1 3 465 20. cot 2 2 3 6 ; 24. cot 2 A B C 0 1 0 02 y sin , y 2 4 ; therefore x x 3 2 3 2 x cos x 1 y ,y 2 1 2 y 2 1 2 3 2 y sin a, y 1 x 2 3 2 3 2 x sin y 1 x 2 y cos therefore x x 2 2 2 2 x cos x 2 2 2 2 2 x sin 2 2 y cos y ,y 2 2 2 2 2 x 2 y 2 2 x 3 2 x 1 y 2 3 2 y x 2 y 2 x 1 2x 2 2 y x 2 2 y 2 x x 21. cot 2 1 2 2 5 2 y 2 A B C y 2 1 5y 2 x y 1x 1 2 1 2 ellipse ; 0 x x 25. cot 2 2 1 2 2 1 2 y 2 1 0 02 y sin , y y A 2 2 C 2x 3 2 3 0 hyperbola 02 ; 2 4 therefore x x 2 2 2 2 x cos x 2 2 2 2 2 2 2 x sin 2 2 y cos B 2 4 y ,y 2 2 x y therefore x y x sin 2 2 2 x cos y cos 2 2 2 2 2 2 2 y sin , x 2 2 2 x 2 2 y 2 2 2 2 2 x 2 2 y, x y 2 2 2 x 2 2 y y 3 x x y 2 x y 2 2 2 y 2 2 2 2 2y 2 2y A B C 1 Parallel horizontal lines 3 2 1 3 1 3 2 3 3 x x y 2 2 2 x 2 2 y 22. cot 2 2 x sin 2 3 y 19 ; 4x 2 + 2y A 2 19 Ellipse 3 ( 1) 4 3 1 3 therefore x x 1 2 1 x 2 x cos 3 2 3 2 3 y sin , y 3 2 y cos 26. cot 2 C B y ,y 2 x 1 y 2 3 2 2 x sin y 1 y 2 3 6 ; 3 x 2 y 2 1 2 y 2 3 x 1 1 2 y 3 2 x 1 y 2 therefore x x 3 2 3 2 3 x cos x 1 y ,y 2 1 2 y 2 3 2 2 y sin , y 1 x 2 3 2 3 2 y cos x 4y 2 1 Parallel horizontal lines A B C 2 2 2 2 x 1 x 2 4 2 3 7 x 1 x 2 3 2 y 23. cot 2 02 2 y 4 ; 5x 27. cot 2 2 3y A B 7 Hyperbola 14 2 16 3 cos 2 4 3 (if we 5 therefore x x 2 2 2 2 x cos x x 2 2 2 2 2 2 2 2 2 2 y sin , y y ,y 2 x sin 2 2 y cos C 2 2 x y 2 2 choose 2 in Quadrant I); 2 2 1 1 cos 2 2 1 1 (3/5) 2 2 5 1 5 y 2 2 2 2 2 2 2 2 8 2 2x 2 x y 2 2 2 x 2 2 y 2 2 thus sin y cos or sin and x y 0 8 x cos 2 2 2 5 (3/5) 2 1 5 x 8 2y y and cos 0x 2 4y 0 Parabola ...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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