(B1). (15 points) Given f(x) = 2x3 + x - 2, use the values f(-1) = -5, f(0) = -2, and f(2) = 16 to construct an interpolating polynomial of degree two. Then use the resulting polynomial to find the approximate value of f (-0.5). Find the actual error of the approximation of f(-0.5) and error bound. (B2). (10 points) Determine the unknown coefficients given in the following clamped cubic spline defined on [0, 2] based on some function f S(x) = So(2) = 4+ Ax + 22 + Ca3, if0