Consider the 3D curve given by the parametric equations x(t) = sint, y(t) = cos(2t), z(t)=t,...

 

Transcribed Image Text:

Consider the 3D curve given by the parametric equations x(t) = sint, y(t) = cos(2t), z(t)=t, for t [0, 3]. (a) Use the "plot3" command in MATLAB to plot the 3D curve. (b) From calculus, it is known that the arc length of the 3D curve is given by the integral 3m dz 8= - 1th 2+(1/2+(d dt. Use composite Simpson's rule with 15 node points to approximate the arc length of the 3D curve. (c) Read the help of the MATLAB command "quad" and use the command to approximate the arc length of the 3D curve. Consider the 3D curve given by the parametric equations x(t) = sint, y(t) = cos(2t), z(t)=t, for t [0, 3]. (a) Use the "plot3" command in MATLAB to plot the 3D curve. (b) From calculus, it is known that the arc length of the 3D curve is given by the integral 3m dz 8= - 1th 2+(1/2+(d dt. Use composite Simpson's rule with 15 node points to approximate the arc length of the 3D curve. (c) Read the help of the MATLAB command "quad" and use the command to approximate the arc length of the 3D curve.

Answer rating: 100% (QA)

a To plot the 3D curve given by the parametric equations you can use the plot3 command in MATLAB Heres an example code snippet that plots the curve ma... View the full answer