L33 Sketching and Area of Polar Curves I - and outside the second curve r 2 r 1 = 1 sin \u00b1 r 2 = 1 cos \u00b1(2 p 2 5 ex Sketch the curves and set up the

L33 Sketching and Area of Polar Curves I - and outside the...

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Lectire 33: Sketching and Area of Polar Curves Areas in Polar Coordinates Formula for the area of a sector of a circle A = 1 2 r 2 where r is the radius and is the radian measure of the central angle. Area of the polar region bounded by a polar curve r = f ( ) and by the rays = and = is A = R 1 2 r 2 d 1
ex. Graph the polar curve and nd the area enclosed by the curve: ( 2 ) r = cos 2 2
ex. Graph the curve and nd the area enclosed: r = 2(1 sin ) (6 ) 3
ex. Graph the curve and nd the area of the inner loop: r = 1 3 cos : ( 11 2 arccos 1 3 3 p 2) 4
ex. Graph the curves and nd the area inside the rst curve

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