MATLAB

PROBLEM 5 OF 5

Problem 5 (3 points) : Volume of Revolution

This problem deals with the two curves:

y = 5 x + cos ( 3 x ) + 1

y = 10 2 x + ln ( x 2 )

These curves are displayed in the figure below:

1. Determine the x- and y-coordinates of the point where the two curves intersect (indicated with a red circle in the figure above). Make sure your script displays the coordinates of the intersection point.

2. Determine where the second curve intersects the x-axis (indicated with a red square in the figure above). Make sure your script displays this value.

3. Determine the volume of the solid formed from rotating around the x-axis the region between the two curves from where they intersect until where the second curve intersects the x-axis. Note that you will need to use your points from parts a and b.

To receive full credit for this problem, you must define and make appropriate use of anonymous functions in your homework1.m script (i.e., you may not define functions in separate files).