(1) Find the range of a for which there exist two common tangent lines of the curve y=278x3 and the parabola y=(x+a)2 other than the x axis.(2) For the range of a found in the previous question, express the area bounded by the two tangent lines and the parabola y=(x+a)2 in terms of a. calculusintegrationconicsparabolageometryanalytic geometrycalculus computations