Consider the surface 4a? – y? + 2z² + 4 = 0. a. Find the value(s) of k such that the cross-section of the surface with the plane y = k exists.

Q: Sketch the section of the surface at x = 0. y? - 25z? = 25 12 -12 -8 12 -4 -8 -12 4 -6 -2 -4 4.

A: topic - hyperbola

Q: A sphere, Si is given by the equation: r? + y² + 22 – 2x – 4y + 8z + 17 = 0 (a) Write the equation…

A: (a) Consider the given information. x2+y2+z2-2x-4y+8z+17=0 Now, write the equation in the standard…

Q: For the quadric surface x2 – y? + 22 = 9: - (a) Find the trace for x = k (your answer must have k).…

A: Given: A quadric surface x2-y2+z2=9 To find: a) The trace for x=k. What shape is it? b) The trace…

Q: Consider the surface S : 4x² + y² — 9z² = 36. a. Identify the type of graph of S. b. Write the…

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Q: Sketch the surface given by the equation x2+z2/3+y=3 indicating the points where the surface…

A: Sketch the surface given by the equation x2+z2/3+y=3   indicating the points where the   surface…

Q: Geometry Question

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Q: c. Find the distance from Po = (3,9, 6) to the plane 3.x + 4y – 5 = 0.

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Q: Use the computer to plot the surface x+ y +z = 1. What type of surface is this? Print your result…

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