Pre-Calc Homework Solutions 447

Ln y y 500 y d ln 500 y 008x c1 9 2 1 cos 2 2 1 sin

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Unformatted text preview: 1 sin 2 4 2 0 d C2e 0.08x C2e 0.08x 9 3 2 2 2 sin 0) 1 y (1 y 70. 1 ) 500C2e 0.08x 9 (3 2 27 2 x3 2 dx 2 42.412 1 7 x 4 7 1 1 500 Ce 0.08x 76. Volume 1 14 0.224 dy dx dy y 4 dy y 4 (y (x (x x2 2 4)(x 3) dx 3) dx 3x 2 3) 77. Solve 4x x 0 or x x2 0 to find the limit of integration: 4. By the cylindrical shell method, 4 Volume 0 2 x(4x 1 4 x 4 4 0 x 2) dx 128 3 4 2 0 (4x 2 x 3) dx ln y y 4 4 y C1 4 4 2 4 3 x 3 e C1e(x Ce(x 2 /2) 3x 134.041. 78. The average value is the integral divided by the interval length. Using NINT, /2) 3x 71. Use EULERT. x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 y 0 0.1 0.2095 0.3285 0.4568 0.5946 0.7418 0.8986 1.0649 1.2411 1.4273 average value 79. y 1 0 sin x dx 0.763 sec 2 x, so we may use NINT to obtain /4 Length /4 1 dy dt (sec 2 x)2 dx 1 2.556. 80. dx dt cos t and sin t, so we may use NINT to obtain /2 Length /2 /2 /2 cos 2 t 2 (1 sin t)2 dt 4. 2 sin t dt...
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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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