Let the curve c1 be given by r 3 and curve c2 be given by

Question

Question - Let the curve C₁ be given by r = 3: and curve C₂ be given by r = 2 + 2sinθ, both with 0 ≤ θ ≤ 2π.

a) What is the slope of a line tangent ot curve C₂ at the point with θ = π/4.

b) Give an appropriate integral for determining the area outside C₂ and inside C₁.