An elliptic cone in R^3 is described by the equation c^2 = (a + 2)^2 + b^2/9 . a. Find an equation for the tangent plane to the cone at the point (1, 12, −5). b. Does the tangent plane exist for every point on the cone?  c. The tangent space at a point on a graph in R^2 is a line. The tangent space at a point on a surface in R^3 is a plane. As was the case for surfaces in R^3, the normal vector can be used to describe the tangent space to graphs in R^4 . But, the tangent space is no longer a plane. What does this tangent space look like?

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