Find an equation for the sphere with a) center at the origin and radius length r = b) center (2, – 3, 4) and radius length r = 4. 5.

Q: What type of quadratic surface with equation x2 + 6y² – 4z² = 2. a. hyperbolic paraboloid b.…

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Q: 1. Consider the parabola with focus point (1, 1) and directrix the horizontal line y = -3. a) What…

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Q: Find the standard equation of the sphere with the given characteristi Center: (-1, -9, 7) Radius: 9…

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Q: 3. Rewrite each equation below in standard form of a quadric surface and then roughly sketch the…

A: 6-x2+2y2-4y-4z=0x2-2y2+4y+4z=6x2-2 (y2+2y+1-1)+4z=6x2-2(y+1)2+2+4z=6x2-2(y+1)2+4z=4x24-12(y+1)2+z=1

Q: o (x- 1)² + (y + 3)² = 4

A: Any point on the Cartesian coordinate system is represented by the ordered pair: x, y. The equation…

Q: Solve as indicated. 1. Find the center and the radius of the following equations. Equation of the…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question. If u want more to be…

Q: Let G be the sphere having a diameter with endpoints (1, -9, -12) and (5, -1, 8). 1. Make an…

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Q: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

Q: Find the standard equation of the sphere. (Let r = 5 and C = (9, 7, 5).)

A: Standard equation of a sphere with radius r and centre at c=(h,k,l) is  (x-h)2+(y-k)2+(z-l)2=r2

Q: Match the ellipsoids shown in the table with the equations. Answer Bank x2 + 2y2 + 2z² = 4 2x2 + 2y?…

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Q: Write the equation for the sphere of radius 1 centered at the prigin in the each of the following…

A: The general equation of a sphere in cartesian coordinates is: x-a2+y-b2+z-c2 = r2 Here, r is the…

Q: 2) Consider two spheres (x - 2)² + (y - 3)² + z² = 1 x² + y² + z² = -8y + 2z + 3 a. What is the…

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Q: 1. Equation: Center: Vertices: Co-Vertices: Foci:

A: Topic- ellipse

Q: If the intersection points of the hyperbola 3x² – y² = 11 and the line 2x + y = 10 are P and Q,…

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Q: 3. A curve is given parametrically by: x =8- 4t2 ,y = 2– 8t. a) Write the Cartesian equation of the…

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

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Q: EXERCISES #1 Identify the center and radius of the circle with the given equation in each item. 1)…

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Q: he plane y=2 inersets the elliplic pd araboloi 3=4X +y parmbola. in a Find the slope of the tangent…

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Q: 1. Determine the equation (in center-radius form) of the sphere whose diameter has endpoints at…

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Q: c) Find the center and radius of the sphere whose equation is x2 + y? + z? + 10x + 4y + 2z – 19 = 0

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