Which of the following is an equation of a plane surface? O 2x +3y + 4z = 4 O 2x2 +3y + 4z = 4 O 2x + 3y2 + 4z = 4 O 222 + 3y2 + 422 = 4 %3D

Q: Write the equation for the plane. The plane through the point P(-2,-5,3) and normal to n = (2,7,8 O…

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Q: Find the equation of sphere having its centre on the line 2x - 3y = 0 = 5y + 2z and passing through…

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Q: oblem 20. Does the line with parametric equation x = 21 + 1, y = 3t- 2, z = 2t – 2, 1 e R intersect…

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Q: Which of the following is the equation of a plane parallel to the cz-coordinate plane and passing…

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Q: Reduce the following given equation to a canonical form quadratic surface by performing suitable…

A: The given equation is, x2+y2+z2+4xy-4xz+4yz-2x+y-3z=0

Q: identify the following quadric surface x^2/6 + y^2/6 + z^2/16 =1

A: This question is related to Quadric surfaces, we will solve it using given information.

Q: Question 4 In which of the following planes does the curve of intersection of the quadric surfaces…

A: find the equation of plane which lies in the intersection of the s

Q: Consider the following equations of quadric surfaces: z =+-4 y? b) 4x² + (2) - - 2z? = -1 %3D | 16

A: The quadratic surfaces are given below-

Q: Which of the following is the equation of a sphere with radius r = (-1,0,-2)? Select one: O None of…

A: This question is related to equation of sphere, we will solve it using given information.

Q: Find an equation for the sphere with center at (-7,8,0) and radius = 9 O x2 + y? O x2 + y2 + z- -…

A: We have to find

Q: If A = 4a, + 3a - 5az; the component of A perpendicular to the surface z = 2 is; %3D Select one: O…

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Q: Find an equation of the sphere that passes through the origin and whose center is (-10, 10, 5). O A.…

A: To find:-   Equation of the sphere that passes through the origin and whose center is (-10, 10, 5).

Q: b. z= 4x2 + 4y²

A: The equation describes surface of elliptic paroboloid.

Q: Find the equation for the line passing through P = (2, -2, 1) and perpendicular to the plane -x + y…

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Q: Which of the following is the equation of a plane parallel to the yz-coordinate plane and passing…

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Q: • Which of the following conics is a trace on one of the coordinate planes of the surface whose…

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Q: 2. Find a parameterization of the line formed by the intersection of the following planes: P1:2x – y…

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Q: 2. Find a parameterization of the line formed by the intersection of the following planes: P1: 2x –…

A: Line of intersection

Q: Which of the following is the equation of the plane that is tangent to the surface 2 x2 + y? x z –…

A: Given: 2x2+y2-xz-3z=1

Q: The equation of the sphere with center (4,-2, 9) that touches that -axis is OA. (x – 4)* + (y + 2)*…

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Q: Match the quadric surfaces to its graph. A. y + = 4+ 4x² C. 9z + 4y = 36 + 36z² B. 42 + y? + 4z² =…

A: We have to identify which Quadratic equation corresponds to which of the given 3D graphs.

Q: Which of the following represents the equation of the surfaces with the following four views? Freet…

A: To find which of the following represents the equation of the surfaces with the given four views.

Q: Find the equation of the sphere with center c= (0, -1, 2) and radius r= 5. O x2 + y + 1)2 + (z + 2)2…

A: Biref answer is given below.

Q: Find an equation of the surface consisting of all points P(r, y, z) that are twice as far from the…

A: To find an equation of the surface whose all points are twice as far from the plane z=-4 as from the…

Q: The equations for the plane through p0(0,2,-1) normal to n =3i - 2j - k O 3x-3y-3z=0 O 3x-3y=z O…

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Q: Which of the following is the equation of the plane that is passing through the point P(2, 2, –2)…

A: The equation of the plane passing through the points (x0 , y0 , z0) and perpendicular to a vector…

Q: 2. Which of the following describes a different plane than the other three? (a) x + 2y + 3z = 6 (b)…

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Q: 2. Do the two planes intersect? If they do, where do they intersect? TT 2x - y + z = 1 = 0 3 TT 4 x…

A: Equation of the line perpendicular to the given plane be n1 & n2 . Now here n1≠ k n2  , where k…

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: Classify and sketch the surface 12x? – 3y? + 4z? = 12 What are the 3 traces? Show equations of the…

A: A quadratic surface is a hypersurface. It is nothing but the generalization of a conic section in…

Q: Consider the plane P :r+y-z=0 in R that contains both the points P:(1,0,1) and P:(0, 1, 1). Answer…

A: The equation of the straight line passing through 2 points is , , .  Here, the points are .

Q: Given the planes 3.x – 6y – 2z = 15 and 2x + y – 2z = 5 anser the following. (b) Find parametric…

A: I have solved using an intersection point and direction ratios

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: Question 13 Which of the following is an equation of a plane surface? O 222 + 3y + 4z = 4 O 2z2 +…

A: Equation of pane surface. Will be of the form ax+by+cz =d

Q: Identify and sketch the surface r+y +- 2r +2 = 0.

A: Answer

Q: -1. Through (1,5, 2) perpendicular to 37 – J + 4k .

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Q: Which of these describes a parametrized line perpendicular to the plane 3x + 2y + z = 15? a)…

A: The direction ratio of the normal vector to the plane is (3, 2, 1) So the direction ratio of the…

Q: Consider the Equation:  x2 + y2 + z2 + 8x - 6y + 2z + 17 = 0 1. Show that the equation represents…

A: x2 + y2 + z2 + 8x - 6y + 2z + 17 = 0

Q: Which of the following represents the radius of the sphere whose equation is x² + 8x +y2 – 16y +z² –…

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Q: (a) Describe the 3 dimensional shape determined by the equation below. 12 - 2r – 26 + y² + 4y + 2² –…

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Q: Find an equation for the sphere centered at (1, -2, 3) containing the origin. V14 = x + y+ z 14 = x?…

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Q: 11. The equation of a sphere with center at (-3, 2, 4) and of radius 6 units is? a. x² + y² + z²…

A: Equation of sphere is (x-h)2+(y-k)2+(z-l)2=r2. Where (h, k, l) is coordinates of the center.

Q: 9) Find a parameterization of the line formed by the intersection of the following planes: P,: 2x -…

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Q: Find the traces for the given surface: 16x? +16y² – 9z = 0. Then sketch and identify the surface.…

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Q: Consider the following equation of a quadric surface. y? 2 2 X + 144 144 1 144 - a. Find the…

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Q: 2. Find a parameterization of the line formed by the intersection of the following planes: P1: 2x –…

A: 2)as per our guideline we have to write one question at a time kindly repost remaining questions

Q: 2. State the names of the following quadric surfaces. (a) The surface z = y² – 2x². (b) The surface…

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Q: Let 11 be the surface with the equation = 2√y+1 and let 12 be the sphere with equation x²+y+z² 16x +…

A: Given data÷ Find the center and radius of the sphere   x2+y2+z2-16x+16y-4z+76=0   General form of…

Q: Find an equation of the sphere that passes through the origin and whose center is (6, – 6, 3). OA.…

A: We will find the equation of sphere as following.

Q: Find an equation for the sphere with the given center and radius. Center (0, -4, -1), radius 9 O x2…

A: In this question we have to find the equation of sphere.