Find the curve that passes through (0,2) and has at each point (x,y) a tangent line...

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Find the curve that passes through (0,2) and has at each point (x,y) a tangent line with slope y-2e^(-x). Hint: The slope of the tangent line to the curve is equal to the first derivative at the point of tangency. The curve may be expressed in the form y-acoshbx Find the curve that passes through (0,2) and has at each point (x,y) a tangent line with slope y-2e^(-x). Hint: The slope of the tangent line to the curve is equal to the first derivative at the point of tangency. The curve may be expressed in the form y-acoshbx