# How do you find the points of intersection of #r=theta/2, r=2#?

hence the point of intersection is

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To find the points of intersection between the polar curves (r = \frac{\theta}{2}) and (r = 2), set the two equations equal to each other and solve for (\theta).

[ \frac{\theta}{2} = 2 ]

[ \theta = 4 ]

So, the point of intersection occurs at ( \theta = 4 ).

To find the corresponding values of ( r ), plug ( \theta = 4 ) into either equation:

For ( r = \frac{\theta}{2} ): [ r = \frac{4}{2} = 2 ]

For ( r = 2 ): [ r = 2 ]

So, the points of intersection are ( (4, 2) ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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