Pre-Calc Homework Solutions 172

1 11 01 x 3 1 3 01 31 note that a to a 4 r 2 dr

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: a to a 4 r 2 dr. When r changes from dr, the change in volume is approximately dy 24. (a) Since dx x 3 csc 1 cot 1 3 x x csc 1 cot 1 , 3 3 x x dy csc 1 cot 1 dx. 3 3 4 a 2 dr. 32. Note that a to a 8 a dr. 33. Note that a to a dV dx dS dr 8 r, so dS 8 r dr. When r changes from dr, the change in surface area is approximately (b) At the given values, dy 1 1 cot 1 (0.1) 3 3 2 2 0.1 csc cot 0.205525 3 3 csc 1 3x 2, so dV 3x 2 dx. When x changes from dx, the change in volume is approximately 3a 2 dx. dS dx 25. (a) y xy y(1 x x) y 0 x x x 1 1)(1) (x)(1) (x 1)2 1 (x 1) 2, 34. Note that a to a 12a dx. 35. Note that 12x, so dS 12x dx. When...
View Full Document

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.

Ask a homework question - tutors are online