3 10 30 0.1 (3689 1170 2673 11. Let v = 1.2 10 35 4699 4387 7470 and P = 10-* %3D 10 30 1091 and define 8732 5547 5743 8828/ 3.2, 0.1 10 35, 381 f(x1,X2, X3) = AL(x-P.) а, exp This function has 4 local mimima, and f has an absolute minimum at one of these points. Use gradient descent with random starting values in the cube 0 SX,X2, X3 S1 to locate good approximations of these points. b. Apply Newton's method on the approximations found in part a to refine the approximations. Determine the absolute minimum value off a. C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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10 30
10 35
(3689
1170 2673
4699 4387 7470
1.2
11. Let v =
0.1
.A%3D
10
and P = 10
30
and define
1091
8732 5547
5743 8828,
3.2,
0.1
10
35,
381
f(x,X2, *3) = -> a
A (x-P)
а exp
This function has 4 local mimima, and f has an absolute minimum at one of these points.
Use gradient descent with random starting values in the cube 0 SX,X2, X3 S1 to locate
good approximations of these points.
b. Apply Newton's method on the approximations found in part a to refine the
approximations
e Determine the absolute minimum value of f.
a.
Transcribed Image Text:10 30 10 35 (3689 1170 2673 4699 4387 7470 1.2 11. Let v = 0.1 .A%3D 10 and P = 10 30 and define 1091 8732 5547 5743 8828, 3.2, 0.1 10 35, 381 f(x,X2, *3) = -> a A (x-P) а exp This function has 4 local mimima, and f has an absolute minimum at one of these points. Use gradient descent with random starting values in the cube 0 SX,X2, X3 S1 to locate good approximations of these points. b. Apply Newton's method on the approximations found in part a to refine the approximations e Determine the absolute minimum value of f. a.
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