The center of the sphere whose one of its diameters has end points P;(1,3,–1) and P2(2,–2,1) is А)(0.5, — 2.5, 1) В)(-0.5, 2.5,—1) C)(3, 1, 0) D)(1.5, 0.5, 1) E)(1.5, 0.5, 0)

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: Suppose a plane through three points A(1,-2,4), B(1,-1,6) and  C(2,0,5). Solve the following two…

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Q: a) Find the area of ​​a rosette petal given by r = 3cos3θ b) Find the equation of the plane that…

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Q: 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: The given sphere has the equation      x2 + y2 + z2 - 12x + 4y + 15 = 0    => (x2 - 12x + 36) +…

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

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Q: The point on the plane 2x+y+z=1 that is closest to the point (1, 2, 3) is (a, b, c). Then a+b-2c= O…

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Q: Consider the points A(3, –3, 5), B(5, –5, 2), C'(-1, –4, 2), and D(4, 1, –8). (a) Find the volume of…

A: AB→=(5, -5, 2)-(3, -3, 5)AB→=(2, -2, -3)AC→=(-1, -4, 2)-(3, -3, 5)AC→=(-4, -1, -3)AD→=(4, 1, -8)-(3,…

Q: Among all the points on the graph of z= 12-x² - y² that lie above the plane x + 4y +62 = 0, find the…

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Q: 7- Evaluate the integral below by applying Trapezoidal method over 4 sub intervals. a) O (evī + 2ev3…

A: given integration is                                         given n=4, so…

Q: (d) Let (Fn) be a sequence of closed subsets of M, and S, (j = 1,...,5) be subsets of M such that.…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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

A: Given that the endpoints of the diameter of the sphere are P11, 3, -1, P22, -2, 1 To find its…

Q: Suppose C is the triangle with vertices (3, 0, 0), (0, 4, 0), and (0, 0, 1) oriented…

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Q: The sphere, x + y² + z? – 4y + 2z – 20 = 0, has a center at which point? (0,-2,-1) (0,2,-1) (2,1,1)…

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Q: The standard equation of the sphere that has center (1,-2,1) and passing through the origin, is…

A: To find the standard equation of the sphere that has center 1, -2, 1 and passing through the origin.…

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

A: Solution: