Category vtu updates

Apply Stoke’s theorem and evaluate

4.C] Apply Stoke’s theorem to evaluate ∬ 𝑐𝑢𝑟𝑙 𝐹⃗ ∙ 𝑛̂𝑑𝑠 , where 𝐹⃗ = (𝑥2+𝑦2)𝑖̂− 2𝑥𝑦𝑗̂, taken around the rectangle bounded by the lines 𝑥 = ±𝑎, 𝑦 =…

Apply Green’s theorem and Solve the Problem

4.B] Apply Green’s theorem to evaluate ∫c[(3𝑥 − 8𝑦2)𝑑𝑥 + (4𝑦 − 6𝑥𝑦)𝑑𝑦] 𝐶, where C is the boundary of the region bounded by 𝑥 = 0, 𝑦 = 0,…