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8. [-/10 Points] DETAILS SCALC9 9.2.005. MY NOTES ASK YOUR TEACHER Match the differential equation with its direction field. y' = 4(x + y) -
8. [-/10 Points] DETAILS SCALC9 9.2.005. MY NOTES ASK YOUR TEACHER Match the differential equation with its direction field. y' = 4(x + y) - 1 - 0.6 0.2 -0.6- -0.4--0.2 0.2 - 0.4 - 0.6 - -Q2 6.4 -2 0.2 1-Q.61 +014 1 -10.2 0.2 - 0.4 /0,6 / Q.2 Give reasons for your answer. The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y = 4, y' = 0. The slopes at each point are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 4, y' = 0. O y' = 4(x + y) - 1 = 0 on the line y = -x + 1/4, and y' = -1 on the line y = -x. O y' = 4(x + y) - 1 = 0 on the lines x = 0 and y = 0, and y' > 0 for 0
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