Q2 a) { ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = −20 represents a sphere, and find its center and the radius. b) [. you have in part a. Provide two points on the sphere that

Q: Find the distance from the point (0,3,0) to the plane 7x + 4y + 4z = 7. The distance from the point…

A: The Distance between a point to the plane  is given as follows

Q: 2) If you are given two points in space, P1 (X1,yı) and P2 (X2,yz), demonstrate why the distance…

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Q: Let G be the sphere having a diameter with endpoints (1, -9, -12) and (5, -1, 8). 1. Make an…

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Q: #82

A: The given equation is

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

A: Given

Q: ind the standard equation of the sphere  with diameter and end points below (6,-1,-2), (4,11,12)

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Q: = 6x² - 3y² + 1 in a: By setting one variable constant, find a plane that intersects the graph of z…

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Q: 1. Find the equation (formula) of a sphere with radius r and center C(h, k, 1) and show that x² + y²…

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Q: Consider a quadrilateral ABCD (A quadrilateral is a closed figure with four straight sides) whose…

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Q: Solve as indicated. 1. Find the center and the radius of the following equations. Equation of the…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question. If u want more to be…

Q: Write the equation of the parabola with vertex at (-9, 0) and directrix at x = -10 a) + 9 1,2 49 b)…

A: Given

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

A:

Q: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

Q: If the intersection points of the hyperbola 3x² – y² = 11 and the line 2x + y = 10 are P and Q,…

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Q: The equations x² + y²+z² - 4z = 0 and x² - 14x + y²+16y+² = -104 represent spheres in three…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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

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Q: Find an equation for the line of intersection of the planes bx+z=0, by+ cz =b, where b,c are real…

A: the equation of the line of intersection pf the given planes ...

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: (r – 1)? + (y + 2)² + (z – 1)² = 49

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Q: Find the canonical or standard equation of the sphere, if it exists. 2x² +2y² + 2z² – 4x+12y–16z+6=0…

A: To write the canonical or standard equation of the below sphere. 2x2+2y2+2z2−4x+12y−16z+6=0

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: 2) The diameter of a sphere has endpoints given by points P = equation of the sphere in standard…

A: The diameter of a sphere has endpoints given by points The Equation of sphere whose center and…

Q: What is the second coordinate of the center of the sphere of the equation below?…

A: