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Mathematics, 15.04.2020 04:08 chickennuggets0621

Use the method of Steepest Descent with TOL = 0.05 to approximate the solutions of the following nonlinear systems. a. 15x1 + x2 2 βˆ’ 4x3 = 13, x2 1 + 10x2 βˆ’ x3 = 11, x3 2 βˆ’ 25x3 = βˆ’22. b. 10x1 βˆ’ 2x2 2 + x2 βˆ’ 2x3 βˆ’ 5 = 0, 8x2 2 + 4x2 3 βˆ’ 9 = 0, 8x2x3 + 4 = 0. c. x3 1 + x2 1x2 βˆ’ x1x3 + 6 = 0, ex1 + ex2 βˆ’ x3 = 0, x2 2 βˆ’ 2x1x3 = 4. d. x1 + cos(x1x2x3) βˆ’ 1 = 0, (1 βˆ’ x1)1/4 + x2 + 0.05x2 3 βˆ’ 0.15x3 βˆ’ 1 = 0, βˆ’x2 1 βˆ’ 0.1x2 2 + 0.01x2 + x3 βˆ’ 1 = 0.

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