Example Determine the constants a and b where a 75 5 such that the tangent to the curve 3; = as\": + be'SC at (0, 2) will parallel to the line a: y = 4. Solution: ae' be'59 (1!) The slope of a: y = 4 is 1. Thus. we have a b = 1. Since (0, 2) is a point on the curve 3; = as\": + Fae3', we have a. + b = 2. Solving the equations, we have a = 1.5 and b = 0.5