MATLAB: This problem deals with the two curves:

y = 3x + 2cos(4x) - 4

y = 10 - 5x + 7ln(x2 + 1)

These curves are displayed in the figure below:

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

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

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.

Determine the volume of the solid formed from rotating around the x-axis the region bounded by the two curves and the x-axis (shown in gray in the figure above). Note that you will need to use your results from parts a, b, and c.

You must define and make appropriate use of anonymous functions (i.e., you may not define functions in separate files).