4.55) m Suppose one wants to find the points on the ellipsoid x2/25+72/16+22/9 = 1 that are closest to and farthest from the point (5,4,3). The method of La grange multipliers implies that...

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4.55) m Suppose one wants to find the points on the ellipsoid x2/25+72/16+22/9 = 1 that are closest to and farthest from the

grange multipliers implies that any such point satisfies Ax 25 dy 16 Az 25 16 9 for an unknown value of (a) Write out this s

4.55) m Suppose one wants to find the points on the ellipsoid x2/25+72/16+22/9 = 1 that are closest to and farthest from the point (5,4,3). The method of La
grange multipliers implies that any such point satisfies Ax 25" dy 16 Az 25 16 9 for an unknown value of (a) Write out this system in the form f(u) = O. (Note that the system has four variables to go with the four equations.) (b) Write out the Jacobian matrix of this system. (c) Use Function 4.5.1 with different initial guesses to find the two roots of this system. Which is the closest point to (5,4,3) and which is the farthest?
f(x + h) = f(x) + J(z)h+ 0(11 12),

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25 16 252-125:ズA ズ = 12s ニ 64 27 (a), (125 (64) 625 25t2 2. flu13-625-t 256 t81-1:0 っz 1飞 22 2(23) on isohan9-625-t 256 +81 o Page No. putting-sakes-g/LE 658ǐeso get χ ー3.95 4 一2-83 Z- 1.73 -02-202 the フー-1.73

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in matlab sthat this n is hardly different from the scalar version in Section 4.3 . The root estimates are stored as columns in an array . The Newton step is calculated using a backslash. The fu...

4.55) m Suppose one wants to find the points on the ellipsoid x2/25+72/16+22/9 = 1 that are closest to and farthest from the point (5,4,3). The method of La grange multipliers implies that...

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Add Answer to: 4.55) m Suppose one wants to find the points on the ellipsoid x2/25+72/16+22/9 = 1 that are closest to and farthest from the point (5,4,3). The method of La grange multipliers implies that...

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in matlab sthat this n is hardly different from the scalar version in Section 4.3 . The root estimates are stored as columns in an array . The Newton step is calculated using a backslash. The fu...

Add Answer to:
4.55) m Suppose one wants to find the points on the ellipsoid x2/25+72/16+22/9 = 1 that are closest to and farthest from the point (5,4,3). The method of La grange multipliers implies that...