explain why you can get the initial conditions from the tangent point? 1) Solution: Given: y: =

explain why you can get the initial conditions from the tangent point? 

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1) Solution: Given: y": = 12x 2, f(x) =x+5 is tangent to y(x) at x = 1. We can deduce 2 initial conditions from the given information. a) y'(1) = f'(1) = 1 and y(1) = f(1) = (1) + 5 = 4. 1) Solution: Given: y": = 12x 2, f(x) =x+5 is tangent to y(x) at x = 1. We can deduce 2 initial conditions from the given information. a) y'(1) = f'(1) = 1 and y(1) = f(1) = (1) + 5 = 4.