Pre-Calc Homework Solutions 172

Pre calc homework solutions 172

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Unformatted text preview: 172 Section 4.5 dy dx x2 x 1 1 2 22. (a) Since (x) 2 1 1 x2 ( 2x) x2 1 ( 1 (1 x 2 x 2)(1) 1 1 2x 2 x2 29. (a) , f f (0.55) f (0.5) x 2 20 11 2 4. 2 11 1 2 2 x2 x 2) 1 (b) Since f (x) Therefore, df , f (0.5) dy 2x dx. 1 1 2(0)2 (0)2 4 dx 2 11 1 5 1 55 4(0.05) 0.2 x 1 5 (b) At the given values, dy dy 23. (a) Since dx (c) ( 0.2) 0.2. 30. (a) f f df f (1.01) f (1) 1.04060401 1 0.04060401 e sin x cos x, dy (cos x)e sin x dx. (b) Since f (x) 4x 3, f (1) 4. Therefore, df 4 dx 4(0.01) (c) f df dV dr 0.04. 0.00060401 0.04060401 4 r 2, dV 0.04 (b) At the given values, dy (cos )(e sin )( 0.1) ( 1)(1)( 0.1) x 3 1 3 0.1. 31. Note that...
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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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