Find the Equation of the Sphere Centered at

The center of the sphere is 2-91 the radius is 2 then the equation is. The bottom hemisphere of a sphere centered at 8 -7 0 with radius 10.

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X 2 y.

. Normalize your equations so that the coefficient of x2 is 1. A X y2z2 b Y2x2z2 c X2y2-221 15 points 3 Vectors can be described simply by directed arrows or in. Therefore to get the equation of the sphere substitute these values into equation i as follows.

Give an equation which describes the intersection of this sphere with the plane z9. 1 Write the equation of a sphere centered at the point 12-3 with radius equal to 6. The sphere is centered at C x₀ y₀ z₀ -9 9 -9 and has a radius r 5.

X 2 y 2 z 2 r 2 beginaligned E. Normalize your equations so that the coefficient of x2 is 1. Example 6 The sphere of radius.

Find the equation of the sphere centered at 10104 with radius 9 Normalize your equations so that the coefficient of x2 is 1 _____0 Give an equation which describes the intersection of this sphere with the plane z5. Normalize your equations so that the coefficient of x2 is 1. Apsiganocj and 1 more users found this answer helpful.

The equation of a sphere of radius. Equation editorequation editor 0. This is the equation of the circle lying in the plane z2 with center at 2-92 and radius.

2 and hence its equation in cylindrical coordinates is. X2 y2 z2 2. It also explains how to write the equation of the.

I know that the equation for a sphere should look like this. X2 - 4x y2 12y z2 - 12z 27 0 Give an equation which describes the intersection of this sphere with the plane z 7. -4 with radius 10.

Normalize your equations so that the coefficient of x2 is 1. The equation of a spherical surface centred at 000 is. Find equations of the spheres with center 2 -3 6 that touch a the xy-plane b the yz-plane c the xz-plane.

If a sphere has centera b c and radius r then its equation is x a 2 y b 2 z c 2 r 2. Homework Statement Find the equation of the sphere centered at -767 with radius 2. 1 point find the equation of the sphere centered at 941941 with radius 4.

Centred at x0y0z0 x-x02 y-y02 z-z02r2. Substitute 2 instead of z into the sphere equation. Find the equation of the sphere centered at -7.

Equation editorequation editor 0. 3 2 5 -3 2 5 3 2 5 and radius is. Centered at the origin is expressed in rectangular coordinates as.

Substituting C 4-50 the equation of the spherical surface is. Transcribed image text. This calculus 3 video tutorial explains how to find the equation of a sphere given its center and radius.

Normalize your equations so that the coefficient of x2x2 is 1. Find the equation of the sphere centered at 4210 with radius 4. An equation of the sphere with radius R centered at the origin is.

Now find the intersection of this sphere with the plane z2. Give an equation which describes the intersection of this sphere with the plane z2z2. Then the points 000 xy0 and xyz form the vertices of a right angled triangle with sides of length x2 y2 z and.

View the full answer. X2 y22 z2 x2 y2 z2. 10 points 2 Identify the quadric surface and the axis it opens along.

X - -9² y - 9² z - -9² 5². 1 x72 y-72 z42100 x2 14x 49 y2 -14. H k ℓ hkell h k ℓ is.

1 point Find the equation of the sphere centered at -848 with radius 4. Assuming z-coordinate is positiveup then. So if the center is.

X - 22 y 32 z - 62 r2. Find the equation of the surface. Lets consider the standard equation of an sphere centered at the origin.

Homework Equations x-xo2 y-yo2 z-zo2r The Attempt at a Solution x--72 y-62 z-72 2 it saids to. Since x2y2r2 in cylindrical coordinates an equation of the same sphere in cylindrical coordinates can be written as. Find the equation of the sphere which is centered at a b c that passes through the origin.

Give an equation which describes the intersection of this sphere with the plane z 9. X h 2 y k 2 z ℓ 2 r 2 x-h2 y-k2 z- ell 2 r2 x h 2 y k 2 z ℓ 2 r 2. Use this equation and a polar double integral to find the volume of the sphere.

So we can write the equation of our sphere as. Normalize your equations so that the coefficient of x- is 1. Substitue z 10 into the equation above you may then get the intersection equation.

By this theorem the equation of the sphere is. X2 y2 z2 22. X 9 2 y 3 3 z 9 2 25.

Find the equation of the sphere centered at 2 -6 6 with radius 7. X a2 y b2 z c2 R2. Quad x2y2z2r2 endaligned E.

I know that the equation of a sphere with a b c at the center is. The general equation for a sphere of radius R with center at abc is.

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