Mathematica Demystified

| 1. | Name at least four types of delimiters used by Mathematica and describe how they are used. |
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| 2. | Name two ways to hide large output cells. |
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| 3. | What is the difference between |
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| 4. | What does N[x] do? |
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| 5. | What does ?Select do? |
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| 6. | What does ?*String do? |
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| 7. | What is /. used for? |
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| 8. | Explain the difference between := and =. |
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| 9. | How is the ampersand, &, used? |
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| 10. | How is the "at" symbol, @, used? |
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| 11. | What happens if you take the square root of a list of 10 numbers? |
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| 12. | What is the difference between {1, 2, 3}*{ a, b, c} and {1, 2, 3}.{ a, b, c}? |
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| 13. | Plot the graphs of y = x 2 and y = 10 ? x 2 simultaneously. |
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| 14. | Shade the area trapped between the two curves in the previous question. |
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| 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. |
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| 16. | Plot the graph of the parabola x = y 2, whose axis of symmetry is the horizontal |
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| 17. | Plot the surface given by z = x 2 - y 3 |