# How do you graph the polar equation #r=1.5theta#?

Polar equations vary *counterclockwise* through from

#r = 1.5theta#

This equation has

Here, with

For example, if you look at

#r = 1.5 xx pi/2 ~~ ul2.35# on the vertical axis.If we pass through

#pi/2# radians, we move to

#r = 1.5 xx (pi/2 + pi/2) => ul(-4.71)# on the horizontal axisIf we pass through

#(3pi)/2# radians, we move to

#r = 1.5 xx (pi/2 + pi) => ul(-7.07)# on the vertical axis.If we pass through

#2pi# radians, we move up to

#r = 1.5 xx (pi/2 + (3pi)/2) ~~ ul9.42# on the horizontal axis.Then, if we pass through

#(5pi)/2# radians, we move up to

#r = 1.5 xx (pi/2 + 2pi) ~~ ul11.78# on the vertical axis.Once you have those major points, connect them in a spiral.

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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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