Find an equation for the sphere with the given center and radius. Center (0, -4, -1), radius 9 O x2 + y2 + z2 + 8y + 2z = 64 O x2 + y2 + z2 + 8y - 2z 64 O x2 + y2 + 9z2 +8y - 2z = 64 O x2 + y2 + 9z2 + 8y + 2z = 64

Q: Describe the yz-intercept of the sphere with the equation x2 + y2+z2 - 2x+ 10z +5 = 0

A: The given equation of sphere is: x2+y2+z2-2x+10z+5=0

Q: Find an equation of the sphere that passes through the origin and whose center is (4, 3, 4). X

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Q: By completing the square, put the equation 2 – 64y tử + 42 – 16z = –68 Into the standard form…

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Q: Find the equation of the sphere having the circle x +y+ z2 = 9, x- 2y+ 2z = 5 as a great circle.

A: The solution is below.

Q: 5x² - 7y² - 5z² = 1

A: The equation is

Q: Calculate the focus and the directrix of the parabola x^2 + 2 x y + y^2 - 4 x + 2 y - 6 = 0.

A: The given equation of conic is:To find:The focus and directrix of the given parabola.Concept:The…

Q: Select all that apply. Select the functions whose value is undefined. sec 90° cot 90° sin 270° cos…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the equation of a sphere whose center is on line 5y+2z=0=2x-3y and passes through point…

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Q: What is the center of an ellipse 64x2 + 25y2 = 1600? a.2,3                                     b.…

A: Use the standard equation of ellipse  for finding the center.

Q: Complete the square to write the following equation in the standard form for a sphere. x²+y²…

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Q: Complete the square method: Show all your work! Put x² + y² 10x + 6y 15 = 0 in center radius form.…

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Q: Identify the coordinates of the vertices and foei for each hyperbola. 25 o V:(-2 + 3,0); F: (-2+4,0)…

A: we have given a hyperbola.  We have to find it's vertices and foci

Q: Find an equation of the ellipse that has center (-5, 5), a minor axis of length 6, and a vertex at…

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Q: State whether the equation z - ()² = (+)² defines a hyperboloid of two sheets. an ellipsoid. a…

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Q: Write the equation of the sphere in standard form. 2x² + 2y² + 2z² = 4x - 20z + 1 Find its center…

A: The equation of the sphere is  2x2+2y2+2z2=4x-20z+1

Q: Find the equations for the spheres whose center is (7, -1, 5) and radius is 2.

A: To find: The equation of sphere whose centre and radius given. Given: The centre of sphere is 7,-1,5…

Q: Write the equation of the sphere in standard form. 2x2 + 2y2 + 2z2 = 12x − 20z + 1   Find its…

A: Simplify the given equation as,

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Prove that a·a= = |a|2, where a is a vector with n components

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Q: Write the equation of the sphere if (3, 4, 7) and ( - 5, 6, – 3) are the end points of a diamter of…

A: (3,4,7) and (-5,6,-3) are the end points of the diameter of a sphere.

Q: atelite dish ha

A: The equation of the parabola is x2=4ay. Where, a is the focal length of the parabola.

Q: Find the equation of sphere that passes through the point (-2, -8, -2) and centered at (8, 7, 8).…

A: To find the equation of the sphere that passes through the point -2, -8, -2 and centered at 8, 7, 8.