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Assignment Questions: 1. Compute the area of the region outside the circle r = 3 and outside the cardioid r = 2(1 + cos(θ)). 2. (a) Please kindly find the length of the curve defined by the expression r(θ) = k sec(θ), θ ∈ [0, β]; k is a constant. (b) Sketch the curve for k = 1 and β = π/3. 3. In polar coordinates the position of a point-particle is described by the vector ~r = rrˆ(θ), where r = r(t) is the radial coordinate,
Assignment Questions: 1. Compute the area of the region outside the circle r = 3 and outside the cardioid r = 2(1 + cos(θ)).…