5. 3/8 points | Previous Answers SullivanCalc1 10.7.013 My Notes Consider the fo

Question

5. 3/8 points | Previous Answers SullivanCalc1 10.7.013 My Notes Consider the following x-822 (a) Idenify the equation of the quadric surface elliptic paraboloid parabolic cylinder hyperboloid of one sheet elliptic cylinder hyperbolic paraboloid (b) List the intercepts. (Enter your answers as a comma-separated list. If the surface intercepts with the entire axis, enter INFINITELY MANY. If an answer does not exist, enter DNE.) x-intercepts x= DNE y-intercepts y- (0.0.0) z intercepts z = INFINITELY MANY List the traces. (Enter your answers as a comma separated list of equations. If an answer does not exist, enter DNE. x trace in the xy-plane 0 trace in the yz-plane0

Explanation / Answer

5.
a) Parabolic cylinder

b) for x-intercept, put y,z = 0 to get x = 0
for y-intercept, put x,z = 0 to get y = 0
for z-intercept, put x,y = 0 to get z = 0

c) for xy-trace, put z = 0 to get x = 0
  for xz-trace, put y = 0 to get x = 8z^2
  for yz-trace, put x = 0 to get z = 0

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