How do you write #x = 7# into polar form?
To write ( x = 7 ) in polar form, we first need to represent ( x ) in terms of magnitude and angle. Since ( x = 7 ) is a real number, its magnitude is ( |x| = 7 ). The angle ( \theta ) is the angle formed between the positive x-axis and the line connecting the origin to the point ( (x, y) ) in the Cartesian plane.
For ( x = 7 ), the point lies on the positive x-axis, so the angle ( \theta ) is ( 0^\circ ) or ( 2\pi ) in radians.
Thus, in polar form, ( x = 7 ) can be written as ( r = 7 ) and ( \theta = 0^\circ ) or ( \theta = 2\pi ).
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The question How do you convert rectangular coordinates to polar coordinates? has a list of equations used when converting between polar and rectangular systems along with their derivations.
For this problem we will be using
Substituting this into the given equation, we get:
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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.
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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