Polar Coordinates: Arc Length Formula

In this video I go over a quick derivation into the arc length formula for polar curves. The derivation involves using the already derived formula for arc length in parametric form, which I derived in my earlier videos, but then converting the polar curve into the well known pair of parametric equations: x = rcosϴ and y = rsinϴ. From here we ...

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Polar Coordinates: Area: Example 2: Cardioid and Circle

Polar Coordinates: Area: Example 2: Cardioid and Circle
In this video I go over another example on calculating the area of polar curves and this time find the area enclosed by a circle yet separated by a cardioid. The Cardioid, or Heart in Greek, is the same formula I had previously graphed in my earlier example video. To save time, I plot both of the graphs together by using the Desmos calculator ...
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Computing Variables in SPSS

Computing Variables in SPSS
This video demonstrates how to use the “Compute Variable” functionality in SPSS. This feature allows the creation of new variables using a variety of possible calculations.