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categoryرياضيات schoolبكالوريوس event_available2026-07-13

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Question 3: Use the method of steepest descent to to approximate the solution of x+xx2 − x1x3+6=0 e1e2x3 = 0 x22x1x34 = 0. with tolerance 0.01, and a starting guess (1, 1, 1). Verify your answer by computing F(x). If the tolerance is made much smaller, the algorithm will run for many more iterations. Describe how the approximations converge to the final answer if the tolerance is decreased to 10-5.

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