Pre-Calc Homework Solutions 172

Pre-Calc Homework Solutions 172

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Unformatted text preview: x changes from dx, the change in surface area is approximately Since dy dy (x dx dx . (x 1)2 dV dr 2 rh, so dV 2 rh dr. When r changes from a to a (b) At the given values, dy 26. (a) Since dy 0.01 (0 1)2 dy dx dr, the change in volume is approximately 2 ah dr. 36. Note that dS dh 0.01. 2 r, so dS 2 r dh. When h changes from 2 sec (x 1) tan (x 1) tan (x 2 2 1) (2x), a to a dh, the change in lateral surface area is 2x sec (x 2 1 ) dx. approximately 2 r dh. 37. (a) Note that f (0) cos 0 1. L(x) f (0) f (0)(x 0) 1 1) (0.05) (b) f (0.1) L(0.1) 1.1 (b) At the given values, dy 2(1.5) sec (1.52 1) tan (1.52 1.431663. 0 0...
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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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