Calculus 3

Please help me this problems and also write the numbers of each question

4. (a) Name and graph the following quadratic surface. 9x + 42 -36y - 0 (b) Sketch the graph of the following quadratic surface. z -9- x2-225. Reduce the following equation to one of the standard forms, classify the surface, then sketch the graph of this quadratic surface. x2 + 2y? + 22 - 4x + 4y - 2z + 3 = 06. This problem concerns the elliptic cone. Consider the equation x2/a2 + y2/b2 - z2/c2 = 0. (a) Describe the horizontal cross sections z =constant. (b) Describe the vertical cross sections x = 0 and y = 0. (c) Show that this surface has the property that if it contains the point (Xo, yo, Zo), then it contains the whole line through (0,0,0) and (x0, yo, Zo)