calculs 3

Note: please write down the Answer by hand on paper and also write each answer with the number of the questions

4. (a) Name and graph the following quadratic surface. 9x7 + 42 - 36y = 0 (b) Sketch the graph of the following quadratic surface.5. Reduce the following equation to one of the standard forms, classify the surface, then sketch the graph of this quadratic surface. x2 + 2y + 2 - 42 4y - 22 + 3-06. This problem concerns the elliptic cone. Consider the equation x2/a? + y2/b2 - z2/c2 = 0. (a) Describe the horizontal cross sections z =constant. (b) Describe the vertical cross sections z = 0 and y = 0. (c) Show that this surface has the property that if it contains the point (To, yo, Zo), then it contains the whole line through (0,0,0) and (x0, yo, zo)