If you plot the two cardioids, you see that they intersect at θ = π/2, 3π/2
Using symmetry of the curves, you see that the area is
a = 4∫[π/2,π] 1/2 (1+cosθ)^2 dθ = 3π/2 - 4
Find the area that is common to the cardioids with equations
r = 1 + cos θ and r = 1 - cos θ.
Type your answer in the space below and give 3 decimal places. If your answer is less than 1, place a leading "0" before the decimal point (ex: 0.482). (10 points)
1 answer
1 answer