Please make sure its right. calc 3 Find a parametric representation for the part of the plane z = x + 2 that lies inside the cylinder x2 + y2 = 9. x = u y = v z =

Q: This exercise refers to the ellipsoid 4x² + 49y² + 28z² = 392. Vĩ. Find an equation of the…

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Q: 5. Find a parametric representation for the part of the sphere x + y + z2 = 4 that lies between the…

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Q: find a parametrization of the surface. 1.The surface cut from the parabolic cylinder y = x2 by the…

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Q: . Determine the area of the surface with parametric equations a = 2u?, y = v², z = 2uv, 0 <u < 3, 0…

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Q: Answer the question below: The student should identify the cartesian equation of a given plane that…

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Q: Let C be the curve of intersection of the hyperboloid x2−y2+z2 = 4 and the plane 2y−z = 0. Find…

A: Let C be the curve of intersection of the hyperboloid x2 - y2 + z2 = 4 and the plane , 2y - z = 0.…

Q: Consider the following planes. 5x - 2y + z = 3, 2x + y – 5z = 3 (a) Find parametric equations for…

A: NOTE: Refresh your page if you can't see any equations. . the direction vector of the first plane…

Q: Consider the following planes. 3x + 2y - z = 28 x - 4y + 2z = 0 (a) Find the angle between the two…

A: The givne planes are 3x+2y-z=28 .......................... (1)…

Q: Consider the surface given by x²z+ 2yz2 = 3æy?. %3D (a) Find and (b) Find the tangent plane to the…

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Q: 3. Consider the curve y = x°, 0<x < 3. (a) Find parametric equations for the surface obtained by…

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Q: Consider a spatial curve in three-dimensional space given in parametric form by x(t) = cos t, y(t)…

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Q: Sketch the parametric surface x = (u^(2) + v^(2))^(1/2), y = u and z = v

A: It is surface of infinite CONE.

Q: Identify the surface defined by the following equation. 2x-y +z? = 0 The surface defined by the…

A: Form of equation               Surfacex=Az2+By2                     Eliptic Praboloidx=Ay2-Bz2…

Q: Determine the surface area of the solid obtained by rotating the following parametric curve about…

A: Given: x=9+t2, y=2t, 0≤t≤2

Q: z = x² – y? z = x² + xy – 1 and

A: Given - The intersection of the surface z = x2 - y2 and z = x2 + xy - 1 To find - The…

Q: Find an equation of the tangent plane to the following parametric surface, r(u, v) = (u2 + 6) i+ (v³…

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Q: 1. (a) Parametrize the curve of intersection of the sphere a? + y? + 22 22 + 222 = 1, Try your best…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the following planes. 5x – 3y + z = 2, 3x + y - 5z = 4 Find parametric equations for the…

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Q: Find a parametric representation for the surface. The part of the sphere x2 + y2 + z2 = 16 that lies…

A: Given:   Equation of cone z=x2+y2   Equation of paraboloid z=x2+y2  Imagine a sphere of radius…

Q: use polar coordinates to find the voluyme of the solid enclosed by the hyperboloid: -x2-y2+z2=1 and…

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Q: Consider the following planes. 3x + 6y-z = 126 x 12y + 2z = 0 (a) Find the angle between the two…

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Q: z+v" = 2 +3: = 2

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Q: Consider the surface y = 9x² + Fill in the blank to parametrize the surface using polar coordinates:…

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Q: Determine the parametric equations of the curve of intersection of the paraboloid x? – y? + z² = 0…

A: Detailed explanation mentioned below

Q: Consider the equation surface S in the 3D space given by the equation z = x³ – 1. Let C be the curve…

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Q: Consider the ellipsoid a2 + y? + 42² = 12. 2. Find parametric equations of the line that is normal…

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Q: Evaluate ⌠⌠(x+y)ds, where S is the cone whose parametric equations are x=ucosv, y=usinv, z=2u,…

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Q: 1) Let S be the surface of the cylinder r+y = 4 with y >0 and -15z<1. Find a parametric equation…

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Q: EXERCISE 3.3 The parametric surface of a cone is P(u, w) = (R u cosw, R u sinw, Hu). Find the normal…

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Q: Evaluate the surface integral parametric equation 1₁26 2y dA= [₁² H 2y dA where H is the helicoid…

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Q: Find a parametric representation for the surface. The part of the hyperboloid 5x2 – 5y2 – z² = 5…

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Q: iminate the parameter in x = -t +2t and y =t-4 and then identify the parametric sketch its image in…

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Q: Find a set of parametric equations for the curve of intersection of the paraboloid r² + 4y² -z = 0…

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Q: Find a parametric representation for the surface: The plane through the origin that contains the…

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Q: Find

A: We find surface area of given region.

Q: Find a parametric representation for the surface. the part of the plane  z = x + 2  that lies inside…

A: We need to find parametric representation.

Q: Consider the following planes: 5x − 4y + z = 1,     4x + y − 5z = 5   (a) Find parametric…

A: Consider the two given planes. 5x-4y+z=14x+y-5z=5 (a) The objective of this part is to find the…

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Q: Find a parametric representation for the surface. The part of the hyperboloid 5x2 − 5y2 − z2 = 5…

A: 5x2 - 5y2 - z2 = 5 (Given)5x2 = 5 + 5y2 + z2  x2 = 5 + 5y2 + z25   x = 5 + 5y2 + z25

Q: Find two parametric representations for the part of the ellipsoid 2x + y° + 22- 17 thất lieš tő thé…

A: Given:2x2+y2+2z2=17

Q: # 2. Let C be the curve that is the intersection of the cylinder x²-2x+4y2 = 0 with the plane z-x…

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Q: Find a parametric representation for the surface. The part of the hyperboloid 9x2 – 9y2 – z2 = 9…

A: Let u and v be two parameters for the given surface. Since the part of the surface lies in front of…

Q: Find a parametric representation for the surface. the part of the sphere x2 + y? + z? = 16 that lies…

A: The solution is below.

Q: Consider the planes 2x − 3y + z = 6 and −2x + 4y − 3z = 4 Find parametric equations x(t), y(t), z(t)…

A: Given :-  The given planes are : 2x -3y + z = 6-2x + 4y -3z = 4 To Determine :-  The Parametric…

Q: Show that the projection into the xy-plane of the curve of intersection of the parabolic cylinder…

A: To show : the projection into the xy-plane of the curve of intersection of the parabolic cylinder…

Q: Consider the following planes. 5x + 6y - z = 66 x - 12y + 2z = 0 (a) Find the angle between the two…

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Q: Give two parametric representations for the plane curve. 1. y#-4 y + 64 %3D

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