9. A point moves along a unit circle at a constant speed. Find the point at which the x- and y- coordinates are (a) changing at the same rates; (b) changing at opposite rates.

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9. A point moves along a unit circle at a constant speed. Find
the point at which the x- and y- coordinates are (a) changing
at the same rates; (b) changing at opposite rates.
10. A woman 1.6 meters tall is walking away from the lamp post
10 meters tall. If the woman is walking at a speed of 1.2
meters per second, how fast is her shadow increasing when
she is 10 meters from the lamp post?
Transcribed Image Text:9. A point moves along a unit circle at a constant speed. Find the point at which the x- and y- coordinates are (a) changing at the same rates; (b) changing at opposite rates. 10. A woman 1.6 meters tall is walking away from the lamp post 10 meters tall. If the woman is walking at a speed of 1.2 meters per second, how fast is her shadow increasing when she is 10 meters from the lamp post?
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