Fiveash_Lab1.pdf - Lab 1 Zachary Fiveash MAT 275 Exercise 1...

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Lab 1 - Zachary Fiveash - MAT 275 Exercise 1 % NOTE: Please suppress output--i.e., use a semicolon ';' at the end of any % commands for which the output is not necessary to answer the question. % Delete these notes before turning in. % Define input variable theta as discretized row vector (i.e., array). theta = [0,pi/8,pi/6,pi/5,(6*pi)/5,(7*pi)/6,(8*pi)/7]; % Define radius. r = 4; % Define x and y in terms of theta and r. x = r*cos(theta); y = r*sin(theta); % Check that x and y satisfy the equation of a circle. r1 = sqrt(x.^2+y.^2) Explain results here. Do x and y satisfy the equation of a circle? Why or why not? How does the vector output at the end confirm your answer? Yes, the results confirm that x and y satisfy the equation of the circle. Both r and r1 equal 4 which confirms this answer. Exercise 2 % Define t-vector. t = 4:0.2:20; % Define y-vector. y = exp(t/15).*cos(2.*t)/(0.2.*t.^2+14) Part (a) % Plot results (should have 3 plots total). figure; plot(t,y, 'k' ); title( 'e^{t/15}cos(2t))/(0.2*t^{2}+14)' );
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Part (b) % Plot results as data points only and as data points with line.
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  • Fall '08
  • NIKITIN
  • Zachary Fiveash

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