Quiz5_solution - Introduction to Computational Physics Phy 265 Homework Quiz 5(Take-Home Solutions Question 1 S=solve'x^2-4*y=12'5*x y=8 S = x[2x1

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Unformatted text preview: Introduction to Computational Physics Phy 265 Homework Quiz 5 (Take-Home) Solutions Question 1: S=solve('x^2-4*y=12','5*x+y=8') S = x: [2x1 sym] y: [2x1 sym] >> S.x ans = 2 -22 ans = -2 118 Solutions are (2,-2) and (-22,118) Question 2: >> S=solve('x+3*y-z=2','x-y+z=3','3*x-5*y=4') S = x: [1x1 sym] y: [1x1 sym] z: [1x1 sym] >> S.x ans = 33/16 >> S.y ans = 7/16 >> S.z ans = 11/8 Solution is (33/16,7/16,11/8) 1 Question 3: >> syms x >> int(exp(-x),0,inf) ans = 1 >> int(exp(-x^2),0,inf) ans = pi^(1/2)/2 Question 4: >> f = @(x) x^2 - sin(x) + x^(-1) f = @(x)x^2-sin(x)+x^(-1) >> f(0) ans = Inf >> f(1) ans = 1.1585 >> f(pi/2) ans = 2.1040 >>f = @(x) x.^2 - sin(x) + x.^-1 >>x = linspace(-1,1); >>y = f(x); >>plot(x,y,'-r'); >>xlabel('x'); >>ylabel('y'); >>title('f(x) = x^2 - sin(x) +1/x'); 2 3 ...
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This note was uploaded on 02/23/2012 for the course PHYSICS 265 taught by Professor Tegler during the Spring '11 term at N. Arizona.

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