Mathematica Demystified

Final Exam

1.

Name at least four types of delimiters used by Mathematica and describe how they are used.

2.

Name two ways to hide large output cells.

3.

What is the difference between and ?

4.

What does N[x] do?

5.

What does ?Select do?

6.

What does ?*String do?

7.

What is /. used for?

8.

Explain the difference between := and =.

9.

How is the ampersand, &, used?

10.

How is the "at" symbol, @, used?

11.

What happens if you take the square root of a list of 10 numbers?

12.

What is the difference between {1, 2, 3}*{ a, b, c} and {1, 2, 3}.{ a, b, c}?

13.

Plot the graphs of y = x 2 and y = 10 ? x 2 simultaneously.

14.

Shade the area trapped between the two curves in the previous question.

15.

Use Manipulate to do the following: Plot the graph of y = x 3 ? 5 x + 1 and a point P somewhere in the plane that the user can move with the mouse. As the point is dragged about, plot the lines that pass through P which are tangent to the curve.

16.

Plot the graph of the parabola x = y 2, whose axis of symmetry is the horizontal

17.

Plot the surface given by z = x 2 - y 3

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