Modify the function in Example 8.1 so that it becomes f(x) = x sin(x) for 0 x 30. (Here, sin(x) is the sine funtion from trigonometry. You can evaluate it with Excel’s SIN function.) Plot a lot of...

Modify the function in Example 8.1 so that it becomes f(x) = x sin(x) for 0
x
30. (Here, sin(x) is the sine funtion from trigonometry. You can evaluate it with Excel’s SIN function.) Plot a lot of points from 0 to 30 to see what the graph of this function looks like. Then use the standard nonlinear Solver to find its maximum. Try the following starting points: 1, 6, 15, 20, and 27. Report what you find. Then try Evoluationary Solver. Does it get the correct solution?

Example 8.1