Consider the surface shown in the following figure: ZA y Let h, k, r, m, t E R. A general equation corresponding to the above surface is: (x – h)? A) (z – r)2 +y – k m2 t2 (x – h)2 B) (z – r)² + k – y t2 m2 (x – h)? C) (z – r)2 -- + y – k t2 m2 (x - h)2 D) (z – r)2 - + k – y t2 m2

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

A: a. this equation is in form of  as sign of A and B is opposite it is  Hyperbolic paraboloid

Q: (x- 2y) dA on the parallelogram P bounded by y = 5 – 2x, y = 7- 2x, y = 3x – 6, and y = 3x + 2. Use…

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Q: n electric charge is so distributed that the electric potential at all points on an imaginary…

A: We can solve the equation.

Q: A sphere, Si is given by the equation: r? + y² + 22 – 2x – 4y + 8z + 17 = 0 (a) Write the equation…

A: (a) Consider the given information. x2+y2+z2-2x-4y+8z+17=0 Now, write the equation in the standard…

Q: 1. Find the points on the surface a² +9y² +92² = 4 which are closest to and farthest from the point…

A: The given surface is x2+9y2+9z2=4 and point (0,2,0). To find the point which is closest to and…

Q: I3D Find the coordinates of the point (x, y, z) on the plane z = 2 x + 2y + 2 whi X = y =

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Q: Identify the quadric surface satisfying each of the given equations and then make a rough sketch to…

A: identify the quadric surface satsifying each of the given equations and make rough sketch to show…

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: Let (P) be the surface given by the following equation z = 5-x²-y² and (Q) be the surface given by…

A: Given surface P is, z=5-x2-y2    ----(1) For xy projection, put z=0 in (1) we get, 0=5-x2-y2⇒…

Q: Sketch the surface given by the equation x2+z2/3+y=3 indicating the points where the surface…

A: Sketch the surface given by the equation x2+z2/3+y=3   indicating the points where the   surface…

Q: Find the intersection of the line r(t) = 3t + 2, 1, −7t and the plane 2x − 3y + z = 5.

A: r(t)=3t+2, 1, -7t and the plane 2x-3y+z=5

Q: Find the point at which the line (4, –1, 4) + t(4, 2, 3) intersects the plane 4x 5y + z = 88.

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Q: Answer the question below: 1.) The student task is to find an equation of the level of surface of…

A: We want to find the equation of the level surface.

Q: Given surface A: 4x² − 9y² = 9(z² + 4) 1. Identify the type of quadric surface for A. 2. Give an…

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Q: Let (P) be the surface given by the following equation + 4 and (Q) be a surface given by the below…

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Q: Find the intersection of the plane x - X = y = - 4y - 5z = -137 and the line r(t) = (5, −5, −4)t +…

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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: :: Find the y-coordinate of the point on the plane x+ 6y + 7z = 3 that is closest to the point (-14,…

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Q: 16. Evaluate Ends where F=(18z,-12,3y) and S is the surface of the plane 2x+3y+6z=12 in the first…

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Q: Let (P) be the quadric surface given by the following equation y=5+x² +=² Then:

A: Given : Let (P) be the quadratic surface given by the following equation  y = 5 + x2 + z2…