you know that a sphere has the equation of  x^2 + y^2 +z^2 -6x +4z =3 are the following points inside, outside, or on the sphere? a) (1,1,1)      b) (2,2,4)      c) (3,4,-2) show all your work clearly.

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: (x − 6)²(y+3)² + 36 25 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

A:

Q: Write the equation of a sphere that has a center at C(2, 5,-3) and contains points D(4, 1, 1) on the…

A: Given Data: The centre of the sphere is: C(h, j, l)=C(2, 5, -3) The point at the edge of the sphere…

Q: 5) Find the unique quadratic curve (i.e. parabola) which passes through the following three points:…

A: We have to find the unique quadratic curve which passes through the following points:…

Q: What specific (include direction/opening and vertex/center) conic section is 4x + y + 72x + 14y +…

A: topic- algebra

Q: 5 4 3 -NW 2 1 -6-5-4-3-2-1₁ 1 2 3 4 5 6 7 8 (6, 1) -2 3 -4 -5 6 ф м (2,-4) (2,-5)

A: Given Graph:-

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: y -1 Q2) L, =Xx2 = -1 - 2 Fand equation of plane Canternng them

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Q: ㅠ ⑤Prove that Imz=0, larg 2 - 11 = 1, Z-Z=0, 12-il = 1Z+il are different equations all describing…

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Q: 12) (x − 8)²(y+7)² - + 100 25 (x + 2)²_ (y − 1)² 4 64 YG X 14) = 1 G = 1

A:

Q: What are the foci of the ellipse given by (z-3)2 (y-1)2 - = 1? 25 O (-4, 1) and (4, 1) O (3, 5) and…

A: Topic : foci of an ellipse

Q: est to the point 2, 2

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Q: Determines the Cartesian equation of the plan that is parallel to the plan 2x - 3y + z - 1=0 and…

A: We have to find the equation that is parallel to the plane 2x-3y+z-1=0. Also plane passes through…

Q: 9) (x - 2)² 16 9 (x+5)² ¸ (v+3)² _ 1 = + 25 16 +(y-1)² = 1 11) 2 x² X 13) 121

A:

Q: What is the center of X x² + y² – 30x + 221 = 0? Show all work for full credit.

A: Topic = Geometry

Q: practice question - 11.32 Gwanda has the following equation for a sphere: (x^2) + (y^2) +(z^2) -…

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