✌️ steps to follow EVERY TIME you ✍️sketch✍️ a polar curve #apcalculus #apcalc #unit9 #shorts

We graph polar curves by identifying the theta interval, a crucial step that sets the stage for the entire graphing process. We explain why setting the argument of the trig function equal to π/2 is a strategic move, simplifying the task of finding points through which the curve passes.

For the second step, we calculate multiples of theta to find corresponding r values. These values represent polar coordinate points (r,theta) that are part of our graph. Once we have a set of points, we can plot them on polar axes and start connecting them with a smooth curve in order to form the graph.

#MathTutorial #PolarCurves #Trigonometry #Geometry #GraphingPolarCurves

Unit 9 of AP Calculus is all about Parametric Equations, Polar Coordinates, and Vector-Valued Functions:
9.1 Defining and Differentiating Parametric Equations
9.2 Second Derivatives of Parametric Equations
9.3 Finding Arc Lengths of Curves Given by Parametric Equations
9.4 Defining and Differentiating Vector-Valued Functions
9.5 Integrating Vector-Valued Functions
9.6 Solving Motion Problems Using Parametric and Vector-Valued Functions
9.7 Defining Polar Coordinates and Differentiating in Polar Form
9.8 Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve
9.9 Finding the Area of the Region Bounded by Two Polar Curves

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Видео ✌️ steps to follow EVERY TIME you ✍️sketch✍️ a polar curve #apcalculus #apcalc #unit9 #shorts канала Krista King