Pre-Calc Homework Solutions 172

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

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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...
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