Pre-Calc Homework Solutions 102

# Pre-Calc Homework Solutions 102 - 102 Section 3.7 9y 2 9y 2...

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Unformatted text preview: 102 Section 3.7 9y 2 9y 2 y2 y y1 2 3 2. 4x2 36 36 36 9 2 3 7. y sin x 4x 2 4x 2 x cos x xy x)y y xy y y y y x cos x x cos x x cos x x y sin x 4 (9 9 x 2) (sin x 9 9 2 x2 x , y2 2 3 sin x 9 x 2 8. x(y 2 y) xy 2 y y (x 2 y (x 2 xy2 x2 y y) y x x) [ 4.7, 4.7] by [ 3.1, 3.1] 9. x(x 3 x) 3. (x x2 2y)(x 4y 2 2y) y y1 0 0 x 2 x ,y 2 2 x 2 x 1/2(x x 1/3) x 1/2x x 1/2x 1/3 x 3/2 x 5/6 x 2/3 3/2 10. x+ 3 x2 x x 2/3 x 3/2 x x3 x x 3/2 x 1/2 x 5/6 Section 3.7 Exercises 1. [ 6, 6] by [ 4, 4] dy dx dy dx dy dx dy dx dy dx d 9/4 x dx d x 3/5 dx d 3 x dx d 4 x dx 9 (9/4) 1 x 4 3 ( 3/5) x 5 d 1/3 x dx d 1/4 x dx 9 5/4 x 4 1 2. 3. 9 y2 4. 5. 4. x 2 y y2 y y1 2 9 9 3 8/5 x 5 1 x2 9 x2 9 x2, y2 1 (1/3) x 3 1 (1/4) x 4 1 2/3 x 3 1 3/4 x 4 1 1 d d (2x 5) 1/2 (2x 5)( 1/2) 1 (2x 2 dx dx 1 (2x 5) 3/2(2) (2x 5) 3/2 2 d (1 dx 2 (1 3 2 (1 3 5) [ 4.7, 4.7] by [ 3.1, 3.1] 5. x 2 y y2 y y1 2 2x 2x 3 3 x2 2x 3 x2 2x 3 x2, y2 6. dy dx 6x)2/3 6x)(2/3) 6x) 1/3 1d dx (1 6x) 2x 3 x2 ( 6) 4(1 7. dy dx 6x) 1/3 [ 4.7, 4.7] by [ 3.1, 3.1] 6. x 2y 2xy x 2y y 4x 4x 4x y y y x2 d (x x 2 1) dx d x x2 1 x2 dx d x (x 2 1)1/2 (x 2 dx 1 2 x (x 1) 1/2(2x) 2 1 d (x) dx 1)1/2 (x 2 1)1/2 2x 2 x2 1 1 1)1/2 2xy 2xy x 2(x 2 1) 1/2 (x 2 Note: This answer is equivalent to . ...
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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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