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ASE 311 HW #7 - -2-1.5-1-0.50.511.52-2-1.5-1-0.50.511.52ASE...

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Unformatted text preview: -2-1.5-1-0.50.511.52-2-1.5-1-0.50.511.52ASE 311 HW #712.8) a.)>> x = linspace( -sqrt(5) , sqrt(5), 50 );y1 = sqrt(5-x.^2);y2 = - sqrt(5-x.^2);y3 = (x.^2) - 1;axis([ -sqrt(5) sqrt(5) -sqrt(5) sqrt(5) ]);hold onplot( x, y1, x, y2, x, y3 )b.)>> x = 1.5;>> y = 1.5;>> x1 = sqrt(y+1)x1 =1.5811>> y1 = sqrt(5-x^2)y1 =1.6583>> x1 = sqrt(y1+1)x1 =1.6304>> y1 = sqrt(5-x1^2)y1 =1.5303>> x1 = sqrt(y1+1)x1 =1.5907>> y1 = sqrt(5-x1^2)y1 =1.5715>> x1 = sqrt(y1+1)x1 =1.6036>> y1 = sqrt(5-x1^2)y1 =1.5584>> x1 = sqrt(y1+1)x1 =1.5995>> y1 = sqrt(5-x1^2)y1 =1.5626>> x1 = sqrt(y1+1)x1 =1.6008>> y1 = sqrt(5-x1^2)y1 =1.5612>> x1 = sqrt(y1+1)x1 =1.6004>> y1 = sqrt(5-x1^2)y1 =1.5617c.)>> x1 = 1.5;y1 = 1.5;disp(' iteration x y ')for n = 0 : 21n = n + 1;f1 = x1^2 + y1^2 - 5;f2 = y1 - x1^2 + 1;df1x = 2 * x1;df1y = 2 * y1;df2x = -2 * x1;df2y = 2;x1 = x1 - (( f1 * df2y ) - f2 * df1y ) / ( df1x * df2y - df1y * df2x );y1 = y2 - (( f2 * df1x ) - f1 * df2x ) / ( df1x * df2y - df1y * df2x );fprintf( ' %f \ t \ t%f \ t \ t%f \ t \ n ' , n , x1, y1 )...
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