Pre-Calc Homework Solutions 105

Y2 d 2 y dy 23 1 we may a tangent y b normal y y 23

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Unformatted text preview: gent: y (b) Normal: y y 2/3 , giving y 3) 3) 9 ( 4) or y ( 4) or y 3 x 4 25 4 4 x 3 x2 2x d (2x) dy d 2 (x ) dy 29. x 2y 2 d 2 2 (x y ) dx 2yy y y 2x 2 (x 2)(2y) dy dx d (9) dx 2x 2 x 1 2y y d x 1 dx y (y)(1) (x 1)y y2 y y2 (x (x y3 1) y2 1)2 2 2 (y 2)(2x) 2x 2y 0 2xy 2 2xy 2 2x 2y y x x y 1 dy dx dy dx 3 Slope at ( 1, 3): 1 3 1) 1) 2x 4y 3 or y 3 or y 1 0 d (0) dx (a) Tangent: y (b) Normal: y 30. 2x, we may 2x 1) 1, d 2 (y ) dx d (2x) dx 3(x 1 (x 3 3x 6 1 x 3 8 3 y2 Since our original equation was y x write y 2 (x 1)2 (x 2 2x) (x 2 1 which gives y 3. y d (4y) dx dy dx 2y 26. y 2 2y 2x 2y) 1 d (2x dx d 2 (y dx 1) Slope at ( 2, 1): (a) Tangent: y (b) Normal: y 1 1 d (1) dx dy 2 4 0 dx dy (2y 4) dx dy dx 0 2 1 y 2 (2y y y 2)y 1 y 1 d 1 dx y 1 2 2 1 2) 2) 1 or y 1 or y x x 3 1 (x 1(x (y (y 1 (y 1) 1) 1)3 2 2 y 1 y 1...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.

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