1. The ordinate of the intersection of the tangent of the curve y = x ^ 3 + 11 at point P (1,12) and the Y axis is? 2 1. The ordinate of the intersection of the tangent line of the curve y = x ^ 3 + 11 at point P (1,12) and the Y axis is? 2. Given that the tangent slope of function f (x) = ax ^ 2 + 3x-2 at point (2, f (2)) is 7, then the real number a is?

1. The ordinate of the intersection of the tangent of the curve y = x ^ 3 + 11 at point P (1,12) and the Y axis is? 2 1. The ordinate of the intersection of the tangent line of the curve y = x ^ 3 + 11 at point P (1,12) and the Y axis is? 2. Given that the tangent slope of function f (x) = ax ^ 2 + 3x-2 at point (2, f (2)) is 7, then the real number a is?

1. For the equation, y '= 3x ^ 2, the derivative at x = 1 is 3 * 1 ^ 2 = 3
So the tangent is Y-12 = 3 (x-1), x = 0 and y = 9
2. F '(x) = 2aX + 3, x = 2, 2A * 2 + 3 = 7, a = 1