Pre-Calc Homework Solutions 473

Pre-Calc Homework Solutions 473 - Appendix A6 71. y y (1/a)...

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Unformatted text preview: Appendix A6 71. y y (1/a) a cosh (x/a) y (1/a) cosh (x/a) 1 sinh2 (x/a) sinh (0) sinh (x/a) (1/a) cosh2 (x/a) (y )2. a cosh (0) a. 473 (1/a) 1 0 and y(0) Also, y (0) 72. (a) Let the point located at (cosh x, 0) be called T. Then A(u) area of the triangle x2 OTP minus the area under the curve y A(u) (b) A(u) 1 from A to T cosh u 1 cosh u 1 1 cosh u sinh u 2 1 cosh u sinh u 2 x2 1 dx. 1 dx x2 A (u) 1 (cosh2 u 2 1 cosh2 u 2 1 (cosh2 u 2 sinh2 u) 1 sinh2 u 2 ( cosh2 u sinh u 1 (1) 2 1 2 2 1)(sinh u) sinh2 u) u 2 (c) A (u) A(0) 1 A(u) 2 C, and from part (a) we have u u 2 0C 0 A(u) 2A ...
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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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