Let S be the surface generated by z-4 = -y revolved about the z-axis. Let S2 : a2 + y? = 4. Sketch by hand these two surfaces in one Cartesian space. You may use stylus and tablet to sketch them digitally. Find the equation of the

Q: Given the equation (z - 13)+y? = 64, identify the center and radius. Do not enter any spaces when…

A: In this we have to tell the center and radius of circle.

Q: Identify the surface with equation 9r? - 4y? + 16z? - 144 = 0. %3D

A: Given the equation : 9x2-4y2+16z2-144=0 We know Equation of hyperboloid of one sheet:…

Q: Sketch and identify the graph of z² = x² + You may either sketch the traces onto the xy-, xz- and…

A: The given equation is z2=x2+y24. To Find: The sketch of the given equation. The given equation have…

Q: b. z= 4x2 + 4y²

A: The equation describes surface of elliptic paroboloid.

Q: Complete the square to find the vertex of this parabola. x² – 12y – 6x + 5 = 0 3,-

A:

Q: Find the equation of the sphere that has the line segment joining (-1,-8,-6) and (-1,2,-6) as a…

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Q: Find an equation of the sphere with center (1, –11, 8) and radius 10.

A: Center of sphere=1,-11,8radius of sphere , r=10Sphere has 3-dimensions ,hence equation of sphere…

Q: Find an equation of the plane

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Q: 4m 2 m 2m.

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Q: Match each equation to the appropriate graph and classify (name) the quadric surface. c. -x2 – y? +…

A: Standard equations of quadric surfaces: a) Ellpsoid: x2a2+y2b2+z2c2=1 b) Hyperboloid of one sheet :…

Q: (r – 1)? + (y + 2)² + (z – 1)² = 49

A:

Q: Identify and sketch by hand the graph of the quadric surface 36x² − 9y² +162² +36y - 180 = 0. You…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 4) Radius:…

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Q: zitive for We the Peop x Counseling | Antelope Valle x A Interest Groups [ushistory.c x A Acel…

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Q: In which variable(s) should you complete the square to identify the surfacex = y2 + 2y + z2 - 4z +…

A: We have to determine which variable should we complete the square to identify the surface…

Q: Write an equation of a plane in space that is parallel to the x-axis.

A: The equation of a plane in space that is parallel to the x-axis is determined as, The coordinates of…

Q: Find the matrix A of the quadratic form associated with the equation. 3x2 2xy + 3y² + 8z² - 46 = 0 A…

A: The equation in the matrix form is Applying congruence operation on the matrix…

Q: Find an equation of the sphere whose diameter is the line segment having endpoints at (6,2, –5)

A: To find the equation of sphere.