a. Identify the type of graph of S b. Write the equations of the traces of S on the coordinate planes, on the plane z = 2√3 and on the plane z = -2√3 Identify these traces. c. Sketch the graph of S. Label important points.

Q: . Use the method of completing the square to write the following equation in standard form and…

A:

Q: 4d. z =-x´ + y´ Name of the surface

A: The structure obtained from the given equation is more like of dome structure

Q: Sketch and identify the surface given by x2 + 4y + 4z2 = 0.

A: Equation of the surface is given by:x2+4y+4z2=0 we need to identity the surface and hence sketch the…

Q: Identify and sketch the quadric -- = 0 3 2 3 surface z 2

A: For the solution of the problem follow the next step.

Q: Find the point on the sphere x²+y²+z²=961 that is farthest from the point (19,1,–9).

A: We have to find the farthest point from the given point.

Q: Q4:Show if the line (x = 5y +17, y+z-2= 0) lies in the plane 3x-41y-26z +1 = 0 or no ? Where does…

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Q: A surface is defined by the following equation: 9x2 + 16y2 + 9z2 = 25. Make a sketch of the surface…

A: Any point on the three dimensional coordinate system is represented using the ordered pair: x, y, z.…

Q: Identify and sketch the surface by plotting different traces of (x – 1)2 – (x + 2)2 - (z + 4)² = 0.

A: According to the given information, it is required to identify and sketch the surface.

Q: Find the center of the sphere x² + y? + z? + 4x – 8z + 19 =

A: To find the center of the equation from the given equation.

Q: (a) x² + 2x + 4y² + 16y + 9z? 19

A: Sketch and identify the surfaces: (a) x2+2x+4y2+16y+9z2=19.

Q: 3. Draw the standard yz- and xz- traces of the quadratic surface x² + y² − 2x − z + 1 = 0

A:

Q: 4a. x +4y? +9z? = 36 Name of the surface Y

A: Given:  x2+4y2+9z2=36