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1. Determine the positive real root of J10 using the following methods. Also computer the absolute percentage relative error. Error Threshold = 0.01% a. Graphically
1. Determine the positive real root of J10 using the following methods. Also computer the absolute percentage relative error. Error Threshold = 0.01% a. Graphically b. Incremental Search c. Bisection Method d. Newton Raphson e. Secant Method 2. When the bracketing methods like bisection fails to find the root? 3. Modify the NewtonRaphson method to find the repeated roots. 4. Try to find the real root of the function f(x) = (x1)2(x-5) using the following methods. Also computer the absolute percentage relative error. Error Threshold = 0.01% a. Bisection b. Modified NewtonRaphson 5. Explain the critical point and the inflection point. 6. Find the Extrema of the function f(x) = x2 on the interval [-3 , 3] using the following methods. Moreover, mention the concavity of the extrema. Error Threshold = 0.01% a. Gradient Ascent/Descent b. Newton's Method
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