a) Find all points (a, b) on the curve C, given by y = x + sin x, so that the tangent lines to C at (a, b) are parallel to the line y = x + 15.
b) Find all points (a, b) on the curve C, given by y = 3x2+2, so that the tangent lines to C at (a, b) pass through the point (−1,−7).
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