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Example Questions
Example Question #201 : Ap Calculus Bc
Draw the curve of from .
Possible Answers:
Correct answer:
Explanation:
Taking the graph of , we only want the areas in the positive first quadrant because the radius is squared and cannot be negative.
This leaves us with the areas from to and to .
Then, when we take the square root of the radius, we get both a positive and negative answer with a maximum and minimum radius of .
To draw the graph, the radius is 0 at and traces to 1 at . As well, the negative part of the radius starts at 0 and traces to-1 in the opposite quadrant, the third quadrant.
From to , the curves are traced from 1 to 0 and -1 to 0 in the third quadrant.
Following this pattern, the graph is redrawn again from the areas included in to .
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