What does a set of equations x = 1, y = 2 represent in space? Select one: a. A twisted surface. b. A line. O c. A point. O d. A curve. e. A plane.

Q: 10) Find an equation for the plane through Po(0,2,0)perpendicular ton = 31 – k.

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Q: Evaluate + y?)dr – 2rydy if C is the contour limited by y = VT, y = x2.

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Q: (a) Identify and graph the quadric surface -r - y + 2? = 1.

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Q: (3, 4, 2), (–2, 1,0), (0, 2, 1).

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 5) Classify the surfaces, listing shape, location, and orientation: a. 4(? − 1) 2 + 9(? + 1) 2 + ? 2…

A: Given: 4x-12+9y+12+z2=364x2-y-12+16z+22=9z-4x2-y2

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: B. 3. A

A: Explanation of the solution is given below...

Q: • Which of the following equations has a graph of a sphere? a. x2 + y? + 2² +x + y+ z + 3 = 0 b. x?…

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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: Show that the given equation represents a sphere and find its center and radius x² + y2 + z? + ax +…

A: The given equation is x2+y2+z2+ax+by+cz+d=0. The general equation of a sphere with center h,k,n and…

Q: Identify the type of surface (in space) given by the equation, and sketch the surface. a. x^2+y^2=25

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 3. Find the coordinates for circular point w Q. b. C. d.

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Q: Give another name for plane W

A: Plane :— Plane is a 2 - Dimensional space which is named by three Points.

Q: Question 8 Attempt di 59 Minu 2 pts Find the distance between the parallel planes P1: 2x - y+ 2z+ 6…

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Q: -3-3 -2 1 0 1 2 10 1 2 2 Identify the equation of the surface. y? 1 9 4 22 y? = 1 9 y? O. 4 9. Oz =…

A: Given the graph:

Q: Find the center and radius of the following sphere: x2 + 2x + y? + z2 + 4z + 1 = 5

A: The equation of the sphere is x2+2x+y2+z2+4z+1=5 To find its center and radius.

Q: Classify the surfaces, listing shape, location, and orientation: a. 4(? − 1) 2 + 9(? + 1) 2 + ? 2 =…

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: Find an equation of the sphere that passes through the origin and whose center is (-10, 11, – 2).…

A: Given: Origin point : ( 0 , 0 , 0 ) Center : ( -10 , 11 , -2 )

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: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

A:

Q: 2х + Зу 3 12

A: 2x+3y=12

Q: Name the surface and graph the given equations in R’: . z+x = 1 b. 2x+3y = 6 с. у%3Dsin x d. z =1- y…

A: (d) Given z=1-y2 we write it as y2=1-z This is the equation of a parabola. For plotting it, we make…

Q: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: Given that the point (5, 0) a) symmetric with respect to the x axis Substitute the coordinate -y for…

Q: Find the shortest and longest distance from the point (1,2, -1) to the sphere x2 + y? + z? = 24 %3D

A:

Q: What does a set of equations x = z?, y = 2 represent in space? Select one: O a. A curve. O b. A…

A: Given, a set of equations x = z2, y=2, we have to find these equations represent what?

Q: e. The plane through Po(2, 4, 5) perpendicular to the line x = 5+ t, y = 1 + 31, z = 4t

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: d. The plane through P,(2,4,5) perpendicular to the line x=5+t y=1+3t .

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Q: Find the midpoint of CD. M = ( X1+X2 Yı+y2 C = (10,-1) and D = (-6,3) %3D %3D ([ ? ],[ ])

A: Use the given mid point formula and simplify.

Q: Which of the following point is the farthest point on the sphere a? + y² + z? = 4 from the point…

A: The equation of sphere is given as, From the equation it is clear that the sphere has its center at…

Q: Plot the given points on the Cartesian plane and also find and plot the midpoint. A(H,–T),B(T, U)

A: We have been given - H = 0T = 7U = 0Then,A = H,-T = 0,-7B = T, U = 7, 0Let's draw these points on…

Q: Consider point W on the coordinate plane y 51 w/ 1.

A: Here if we are going through x-axis. Then it will give points 3 and -4. Because x-axis value will…

Q: In ARST, SV bisects y ZRST. Find the coordinates of point T in terms of a. S (a, a) 2a T?, ?) V (2,…

A: Given that, Let ∠TSV=θ and ∠VSR=θ(∵SV is angle bisector)

Q: ind an equation of the line of intersection of the following two plane x + y + z = 0 nd 2я — у + 32…

A: We have to find out

Q: Identify and sketch the surfaces in space, 3-D. x² +y² = a² a) b) z = 4– x² – y² x² + y? - z? = 0 |

A: a)  x²+y² = a²

Q: Which of the following point is the farthest point on the sphere z? + y² + z² = 4 from the point…

A:

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: Find the standard equation of a sphere that has diameter with the end points given below. (3, 8,…

A: to find standard equation of sphere that has diameter with end points 3,8,-2,-1,4,10

Q: Y. 14 12 10 8 6 D. --4-2 2. 6 8 10 12 14 A 4. 2. 4.

A: from midpoint formula

Q: Let g(x, y) = ry. What shape does the level set g(x, y) = 1 take? Draw it on x-y plane if you don't…

A:

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: y=0, z=0

Q: Department of water Resources Eng. A.L. Fatima Kumait Al-Zubaidy Q1): Find the point (x, y, z) that…

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Q: Consider the sphere (x−3)2+(y−2)2+(z+1)2=32(x−3)2+(y−2)2+(z+1)2=32. The point P =(−1,2,3)(−1,2,3) is…

A: Given that, x-32+y-22+z+12=32 And the point on the sphere is p-1,2,3 To find another point on the…

Q: 15) Consider the following equations of quadric surfaces: a) x = + - 4 b) x? - y? + z? = 4 i)…

A: We need to find surface type and intercepts.

Q: Given a sphere with center (4, 3, – 1) and radius 4. Find an equation of the intersection of this…

A: First write the equation of given sphere then satisfy the condition for intersection with xz-plane.

Q: Problem 5. A space has the line element, ds? =v°du? +u°dv² . Determine whether this space is flat or…

A: Given: Line element, ds2=v2du2+u2dv2. To find: Whether the space is flat or curved.

Q: Name a fourth point that is in the same plane as the given points. 11. A, B, C 14. A. D, E 12. E. F.…

A: The point D is on the same plane as A, B, C. The point H is on the same plane as A, D, E. The point…

Q: Consider the points P = (3, 2, 1) and Q = (1, 2, 3) in R3. (1) What is the equation of the sphere…

A: Answer