Ask a New Question

Find the area shared by the cardioids r=6(1+cos(theta)) and r=6(1-cos(theta))

1 answer

The curves intersect when θ= π/2,3π/2
By symmetry, then the area is

a = 2∫[π/2,3π/2] 1/2 (6(1-cosθ))^2 dθ
= 36∫[π/2,3π/2] 1 - 2cosθ + cos^2θ dθ
= 9(6θ-8sinθ+sin2θ) [π/2,3π/2]
= 4 + 3π/2

Ask a New Question or answer this question.

Similar Questions

Multiple Choice (theta) means the symbol 0 with the dash in it.1.)Which expression is equivalent to
1. 2 answers
Multiple ChoiceWhich expression is NOT equivalent to 1? (theta) means 0 with dash in it. A.)sin^2 (theta)+cot^2 (theta) sin^2
1. 0 answers
1. Which expression is equivalent to cos 2theta for all values of theta ?cos^2 theta – sin^2 theta ~ cos^2 theta – 1 1 – 2
1. 1 answer
Suppose that \Theta takes values in [0,1] and its PDF is of the formf_{\Theta }(\theta )= a\theta (1-\theta )^2,\ \ \
1. 1 answer

more similar questions