Pre-Calc Homework Solutions 107

Pre calc homework solutions 107

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Unformatted text preview: Section 3.7 37. (a) y4 d 4 (y ) dx dy 4y3 dx dy 3 (4y 2y) dx dy dx 3 3 At , : 4 2 3 107 1. y2 x2 39. (a) ( 1)3(1)2 (b) cos ( ) is true since both sides equal x 3y 2 d 3 2 (x y ) dx d 2 d 2 (y ) x dx dx dy 2y 2x dx cos( y) d cos ( y) dx 2x 4y3 2x 2y x y 2y3 (x 3)(2y) (2x 3y dy dx (y 2)(3x 2) sin y) dy dx dy dx ( sin y)( ) 3x 2y 2 2x 3y dy dx 3x 2y 2 sin y 3 2 3 2 Slope 2 4 3 2 3 4 3 3 2 4 3 4 3 3( 1)2(1) 2( 1)3(1) sin 3 The slope of the tangent line is . 2 Slope at ( 1, 1): 1 2 3 40. (a) When x 1 y3 2y 2,...
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