If x² + y² +2²-12x+4y+15= 0 is a sphere with center (2o, 3o, 2o) and radius r, what is r (o+yo+zo) ? (a) 18 (b) 20 (c) 21 (d) 25 (e) 28

Q: Q2 a) { ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = −20 represents a sphere, and find…

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Q: The center of the sphere whose one of its diameters has end points P1(1,-3,-1) and P2(2,0, 1) is…

A: Sphere Definition: A sphere is a three-dimensional counterpart of a circle, with all its points…

Q: a) [ ] Show that the equation 4x8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find its…

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Q: 3 Determine what kind of quadrilaterál I formed by the following points: S MI-2,-1), L(1,3), T(5,0)…

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Q: 8. Given: The coordinates of rectangle DEFG are D(0, b), E(a, b), F(a, 0), and G(0, 0). Prove: The…

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Q: 1 Set up and evaluate , 6x dA, where R is the rectangular region with corners (-2, 0), (3,0), (-2,…

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Q: The distance between the centers of the following two spheres: is x²-58x+y2+36y+z²=-1164,…

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Q: Find the point on the sphere x? + y² + z² = 3 farthest from the point (-6, 6, –6). Farthest point is

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Q: Q4) Find the intersection of the line x = and the sphere x? + (y – 3)² + (z – 2)² = 4. A) (1,1,0) B)…

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Q: 2) Use completing the square to find the following: s+4 а) L-1 ans: e-2t cos2t + e¬2tsin2t (s²+4S+8)…

A: We have to answer the following... a. L-1s+4s2+4s+8b. L-12ss2+12

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Q: Evaluate fS, 6x² – 40y dA, where D is the triangle with vertices (1,1), (5,0) and (5,3).

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Q: 1)calculate xy dady Where D is a triangle with vertices (0,0), (5,0) and (5,5) tip:Don't use the…

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Q: 3. Use perfect squares or difference of squares formulas: a) (V5b – 8)? = b) 36x2 — у2 %3D - c) (2w²…

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Q: 5. Draw/Describe the set of points in the complex plane that satisfies |z - il < 2.

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Q: Find the point on the sphere x+y²+z²=625 that is farthest from the point (-23,14,-13). 23 625 V1200…

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Q: Write the sphere in standard form. (x-1 x² + y² +²2x+4y-4 = 16 )²+(y - 4 x)²+(z-2 )² = 25

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Q: What is the equation of a plane where 1 of these spheres would be on one side of the plane and the…

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Q: If (3 + i) is a root for the quadric equation (Z² – (a + 2i)z + (b/2 + i)) then b is: A) 1 E) 0.5 В)…

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