L24 Math 233 Lecture Notes - Lecture 45: Nissan L Engine, Multiple Integral, Ellipse
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L24 math 233 lecture 45- green"s theorem applications. 1 (x, ) y y = 2 and. Q y = 2 (x, ) x then. Application : find area of an ellipse with major axis a and minor axis b. D y2 1 x2 + b2 y2 = 1 using y = b x = a cos for sin dx) 0 2 sin x ( )d a. F = x 3 2 y2 > < y, x and c is the triangle with: parameterize c in 3 pieces and compute line integrals for each piece, use green"s theorem and compute 1 double integral. First, check if f is conservative in which case the answer is 0 regardless on d=interior of triangle c (not conservative unless it x. Q = 6 x = 5 / 0. Now, we use green"s theorem to compute a double integral. F = p q r > is a vector field in.
