4.4.2 Perform the tasks below for the problem:f(x) = 2i + 922, with the initial point (x, x2) = (5, 1)(a) Sketch a few contours of constant value of the function on graph paper.(b) Derive an expression for the optimał step size 6* for the arbitrary initial point x'.(c) Go through three iterations of the method of steepest descent starting from (5, 1)and plot the results.Handwritten solution only

The function given is as follows: fx=x12+9x22 The initial point given is x1, x2=5, 1. (a) We are…

Perform the tasks below for the problem: f(x) = 2ỉ +9x2, with the initial point (#1, #2)= (5, 1) (a) Sketch a few contours of constant value of the function on graph paper. (b) Derive an expression for the optimal step size B' for the arbitrary initial point x'. (c) Go through three iterations of the method of steepest descent starting from (5, 1) and plot the results.

Perform the tasks below for the problem: f(x) = 2ỉ +9x2, with the initial point (#1, #2)= (5, 1) (a) Sketch a few contours of constant value of the function on graph paper. (b) Derive an expression for the optimal step size B' for the arbitrary initial point x'. (c) Go through three iterations of the method of steepest descent starting from (5, 1) and plot the results.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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