FM5002-HW6-3.7.12

2 0044 8 3 x3 a compute 2 x 2 x2 x4 b compute x2 2

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Unformatted text preview: 7 x2 2 9 81 729 4 x3 2 6 2 x2 x2 2 6 2 2 x 1 3x 5 1 7 2Π 2 3x 5 x 2 x2 2 2 8 2Π . 3x 2 x7 7 2 2 x2 x. x2 2 2Π x2 x2 2 3 x. 2 x3 x4 9 2 9 4 x 2 9 81 2 756 2 x 7 3 2Π 2 9. x 0. x2 x x2 3 2 x2 x2 2 14 2 2 x2 81 729 81 27 2Π b. Compute x2 x2 2 x2 x2 0044− . 9 a. Compute x 9 x2 4x x2 3 2 9 8 x. 2 2 x2 x3 x 2 x. 2 x 2 x2 x 6 2 3 1 2Π 6 2Π 27 2Π . FM5002−HW6−3.7.12.nb 1 c. Compute x2 3x 5 1 3x 5 1 x. 2 2Π 1 d . Compute x2 2 x. 2Π a. We complete the square an d use the substution u 1 x 3: 3x 5 19 2 x2 2 1 2Π 7 2 x2 1 2 x 2Π 3x 5 d. 1 2Π u2 2 2Π 3x 5 10 x 2 1 c. 19 2 x2 3x 5 19 2 u 10 0 when x 3x 5 5 3 2 . 1. 1 3x 5 1 x2 2 x x2 2 19 2 x 1. 2Π . Therefore, x2 1 19 2 2Π 1 2Π 1 u 2 2Π b. u2 x x 1 2Π 5 3 3x 5 19 2 x2 1 2 14 3 x u2 2 2Π u 5 3 19 2 14 5 3 3 . 3...
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