Ch 10.3 Polar Functions

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Ch 10.3 Polar Functions

• Calculus Graphical, Numerical, Algebraic by
• Finney, Demana, Waits, Kennedy

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Converting Polar to Rectangular
Use the polar-rectangular conversion formulas to
show that the polar graph of r 4 sin ? is a
circle.
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Converting Polar to Rectangular
Use the polar-rectangular conversion formulas to
show that the polar graph of r 4 sin ? is a
circle.
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Slope of a Polar Curve
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Finding slope of a polar curve
Find the slope of the rose curve r 2 sin 3? at
the point where ? p/6 and use it to find the
equation of the tangent line.
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Finding slope of a polar curve
Find the slope of the rose curve r 2 sin 3? at
the point where ? p/6 and use it to find the
equation of the tangent line.
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Area enclosed by polar curves
The area enclosed by a polar curve is the
infinite sum of small triangular sectors between
the origin and the curve.
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Area in Polar Coordinates
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Finding Area Between Curves
Find the area of the region that lies inside the
circle r 1 and outside the cardioid r 1
cos ?.
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Finding Area Between Curves
Find the area of the region that lies inside the
circle r 1 and outside the cardioid r 1
cos ?.
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