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2x + 2y Find d A, where R is the parallelogram enclosed by the lines 5x + y -2x + 2y = 0, - 2x

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2x + 2y Find d A, where R is the parallelogram enclosed by the lines 5x + y -2x + 2y = 0, - 2x + 2y = 3, 5x ty = 1, 5x + y = 2 This can be done directly with a tedious computation, or can be done with a change of variables to transform the parallelogram into a rectangle. HINT: Let u = - 2x + 2y and v = 5x + y . In (2) X\fUse Euler's method with step size 0.5 to compute the approximate y-values y1, y2, y3, and y4 of the solution of the initial-value problem y'= - 1 - 5x + 2y, y(1) = - 4. y1 = - 11 y2 26.25 y3 58 y4 = 122.75 XConsider (but do not attempt to solve) this initial value problem: 3/2y - 8 7+2 - 5 , y(to) = yo A unique solution is guaranteed to exist for all points (to, yo) except those for which: to or yo X

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