WebIn the figure, r = 10 cos θ is a circle that doesn't look like a circle. The area of r = 5 is π r 2 = 25 π. You remove the area from − π / 3 to π / 3 of 10 … WebSep 17, 2015 · Explanation: Find the intersection points of the curves hence we have that 3cosθ = 1 +cosθ ⇒ cosθ = 1 2 ⇒ θ = ± π 3 The saded area is (cardiod area from pi/3 to pi)- (cricle area from pi/3 to pi/2) The cardiod area is ∫ π π 3 1 2 ⋅ (1 +cosθ)2dθ = π 2 − 9 6 ⋅ √3 and the circle area is ∫ π 2 π 3 1 2 ⋅ (3 ⋅ cosθ)2dθ = (3 π 8) − 9 16 ⋅ √3
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WebNov 9, 2024 · The area of the region is equal to square units.. The double integral formula for the area of a given curve is described below: (1) Where: - Distance with respect to origin. - Angle in standard position. We notice that and , then we have the following integral:. Now we proceed to integrate the expression: The area of the region is equal to square units.. … WebFeb 2, 2015 · Find the area of the region that lies inside the first curve and outside the second curve. r = 3 cos θ, r = 1 + cos θ area-of-region polar-equations graphing-utility asked Feb 2, 2015 in CALCULUS by anonymous Share this question 2 Answers 0 votes Step 1: The curves are and . Find the intersection points by equating the two curves. cooking uncured bacon
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WebFind the area inside the circle r = 4 cos θ r = 4 cos θ and outside the circle r = 2. r = 2. In Example 7.17 we found the area inside the circle and outside the cardioid by first … WebNov 10, 2024 · Find the area inside the circle r = 4cosθ and outside the circle r = 2. Hint Answer In Example 10.4.2 we found the area inside the circle and outside the cardioid by first finding their intersection points. … WebMath Calculus Calculus questions and answers Find the area of the region outside r=5+5sinθ, but inside r=15sinθ. This problem has been solved! You'll get a detailed … family guy italian teacher gif