i just want to know if there is an another method.

\f2. The blue icon "I" means "exact number, no tolerance" Describe the surface with equation x'+ y + z + 8x + 4y+ 2z -28 = 0 The surface is a sphere with center ( i ) and radiusCalculus 1 Topics Covered: - Three-Dimensional Space; Vectors - Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces - Planes in 3-Space - Quadric Surfaces Instructions: Answer the following problems by showing the complete solution. In return, I will give you a good and high rating. Thank you so much! Special Note to Tutor: Please be careful with the units and measurements in calculations. Thank you! The blue icon \"I" means "exact number, no tolerance" 5. This exercise refers to the hyperbolic paraboloid z = y2 - x2. (a) Find an equation of the hyperbolic trace in the plane z = -49. Oy = z - 1 O X 2 = 1 49 49 O X2 = 1 49 49 O N 2 = - y + 49 O x2 + y = 49 (b) Find the vertices of the hyperbola in part (a). O (0, + 7\\2, 49) O (+7, 0, - 49) O (0, + 7, 49) O (+7, 0, 49) O (+7\\/2, 0, - 49)4. Find an equation of the plane indicated in the figure. 2 Equation: y 2 2d) + 2 X -6 -4 -2 2 4 6 -2 14 N e) 10 -10 8-6 4-2 2 4 6 8 10 10\f1. Identify the surface by completing the squares. x2 + 4y2 - z2 - 18x + 8y +4z = 0 O A hyperbolic paraboloid. O A hyperboloid of one sheet. O A hyperboloid of two sheets. O An ellipsoid. O An elliptic cone. O An elliptic paraboloid