Chow is it called, #8 Given the surface x²+ y² = Z² Sketch in 2D the level curve 4 corresponding to Z=12. Label all x- and y-intercepts with their coordinates

Consider the Folowing equation of a quadric surface4×^2+9y^2+9z^2=36a. Find the intercepts with the three coordinate axes, if they existb. Find the equations of the Xy-,xz-,and yz-traces, if they existc. Sketch a graph of the surface

Let S be the quadric with equation 36x2 -4y2 –9z² – 36x = 0. Sketch a graph of the surface with complete label of points on the graph. Follow the graph format of the examples given. Examples (-5,0,8) (0,55,8) (-2,0,2 J2) W3.,0, 8) (2,0, 2,7) 0,0.2) (0,0, 4) (-2, - &,0) (0,-1.0) (2,-V3,0) (- 2,V5,0) (0,0, -4) (2,5,0) (0,0, -2) y (- 2,0,-15) (-15,0, 8) (2,0, - 2 l7) (0, 53,-8)

Identify the type of quadric surface defined by the equation and find all x-, y-, and z-intercepts of the resulting graph. Sketch the graph of this quadric surface on paper. The quadric surface is a / an hyperboloid of one sheet 1 x-intercepts when x = 3 1 2 y-intercepts when y = z-intercepts when z = -1 and 4y² - 9x² + z² = 1, ✓ with Enter your answers as comma separated lists, or enter NONE if there are no intercepts of a particular type.