Question: 2. Scientists discover that two quantities x and y are related by the equation sin (x - y) = xe . They estimate that when

2. Scientists discover that two quantities x and y are related by the equation sin (x - y) = xe . They estimate that when x =0 and y= -7, x is decreasing by 0.3 units per second. a) Find dy dx when x = 0 and y = -7 . [5] b) Find the rate dy dt at which y is changing when x = 0 and y = -7 . [3]

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