hp40g+.book Page 19 Friday, December 9, 2005 1:03 AM
Now press 
to see the graphs.
Part 6 | To find the values of x(t) and y(t) | π | 2 ⋅ π | |||
for t = 0, | ||||||
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| 3 | 3 |
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| return to CAS, type each function in turn and press | |||||
| . (You may need to press | twice for further | ||||
| simplification). |
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| For example, pressing |
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| X | 0 |
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gives the result at the right:
Likewise, pressing |
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X |
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| π | 3 |
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| gives this |
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answer at the right: |
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The other results are: |
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X | ⎛2π⎞ | = | 1 |
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| ⎝ 3 ⎠ |
| 4 |
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| X(π)= | 3 |
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| 2 |
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| Y(0)= 0 |
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Y | ⎛π⎞ |
| – | 3 |
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| ⎝ 3⎠ |
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| 4 |
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| Y | ⎛2π⎞ | 3 |
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| = |
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| ⎝ 3 | ⎠ | 4 |
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| Y(π)= 0 |
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The slope of the tangents is m = | y'(t) |
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| x'(t) |
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We can find the values of | y'(t) | π | 2 ⋅ π | ||||||||
for t = 0, | |||||||||||
using the lim command. | x'(t) | 3 | 3 | ||||||||
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