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Note that the ray 6: divides the intersection of these circles into two sections. As in the figure, let A, be 4 the area of this intersection where 4 and let A, be the area of the intersection where OS0s4. If we let A denote the area of the entire intersection, then we have A = A1 + A2. We will need to integrate to find A, and A2. Recall how to find area in Polar Coordinates. If f(0) is a continuous function, then the area bounded by a curve in polar form r = f(0) and the rays e = a and 0 = B %3D !! (with a < B) is equal to f(0)2 de. dentify the proper f(0) that we should integrate to find A and A,. Then calculating A, we should integrate f(@) = en calculating Aa. we should integrate flA).

Note that the ray 6: divides the intersection of these circles into two sections. As in the figure, let A, be 4 the area of this intersection where 4 and let A, be the area of the intersection where OS0s4. If we let A denote the area of the entire intersection, then we have A = A1 + A2. We will need to integrate to find A, and A2. Recall how to find area in Polar Coordinates. If f(0) is a continuous function, then the area bounded by a curve in polar form r = f(0) and the rays e = a and 0 = B %3D !! (with a < B) is equal to f(0)2 de. dentify the proper f(0) that we should integrate to find A and A,. Then calculating A, we should integrate f(@) = en calculating Aa. we should integrate flA).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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inbox (29)- kiver T... S CengageBrain Step 1 of 5 In order to find the area of intersection, we must find the value of 0 at the point of intersection other than the origin. Note that these two circles intersect in the first quadrant. Therefore this value of 0 should be between O and Find the value of e at the point of intersection by setting the curves equal and solving for 0. 8 sin 0 = 8 cos e tan 6 = |1 8 = tan-(1)
Transcribed Image Text:inbox (29)- kiver T... S CengageBrain Step 1 of 5 In order to find the area of intersection, we must find the value of 0 at the point of intersection other than the origin. Note that these two circles intersect in the first quadrant. Therefore this value of 0 should be between O and Find the value of e at the point of intersection by setting the curves equal and solving for 0. 8 sin 0 = 8 cos e tan 6 = |1 8 = tan-(1)
:: AplicaCiones CP Links O Brightspace cpcc W Mat 272-280, Calcu. O PHY 251 M Recibidos (1,308) -. M Inbox (2g) - kriver1.. 9CengageBrain 4 Note that the ray 0 = " divides the intersection of these circles into two sections. As in the figure, let A, be %3D 4 the area of this intersection where 4 < 0S4, and let A2 be the area of the intersection where 4 OS0s4. If we let A denote the area of the entire intersection, then we have A = A + A7. We will need to integrate to find A, and A2. Recall how to find area in Polar Coordinates. If f(0) is a continuous function, then the area bounded by a curve in polar form r= f(0) and the rays 6 = a and 0 = B (with a < B) is equal to f(8)² de. Identify the proper f(0) that we should integrate to find A and A,. When calculating A, we should integrate f(0) = When calculating A2, we should integrate f(e) =
Transcribed Image Text::: AplicaCiones CP Links O Brightspace cpcc W Mat 272-280, Calcu. O PHY 251 M Recibidos (1,308) -. M Inbox (2g) - kriver1.. 9CengageBrain 4 Note that the ray 0 = " divides the intersection of these circles into two sections. As in the figure, let A, be %3D 4 the area of this intersection where 4 < 0S4, and let A2 be the area of the intersection where 4 OS0s4. If we let A denote the area of the entire intersection, then we have A = A + A7. We will need to integrate to find A, and A2. Recall how to find area in Polar Coordinates. If f(0) is a continuous function, then the area bounded by a curve in polar form r= f(0) and the rays 6 = a and 0 = B (with a < B) is equal to f(8)² de. Identify the proper f(0) that we should integrate to find A and A,. When calculating A, we should integrate f(0) = When calculating A2, we should integrate f(e) =
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