Find a parametric representation for the surface. the part of the plane  z = x + 2  that lies inside the cylinder  x2 + y2 = 9 (where 0 ≤ u ≤ 3, 0 ≤ v ≤ 2?)

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. (There aremany correct ways to do these, so your answers may…

A: Given: The equation of plane x + y + z = 1 inside the cylinder y2 + z2 = 9 To find:  Parametrization…

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Q: Find the surface area for the portion of the surface f(x,y)=1-x² + y that lies above the triangular…

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Q: find a parametrization of the surface. The cap cut from the sphere x2 + y2 + z2 = 9 by the cone z =…

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Q: Find the area of the surface. The part of the hyperbolic paraboloid  z = y2 − x2  that lies between…

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Q: find a parametrization of the surface. (There aremany correct ways to do these, so your answers may…

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Q: The traces of the surface x2 – y? + z2 = 8 in the planes parallel to the coordinate planes and…

A: Here we have to find the surface in the given traces.

Q: Find a parametric representation for the surface. The part of the sphere x2 + y2 + z2 = 36 that lies…

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Q: Consider the surface shown in the figure below: Let h, k, r, m, n, t ER such that m, n, t>0. A…

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Q: a. A torus of revolution (doughnut) is obtained by rotating a circle C in the xz-plane about the…

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Q: find a parametrization of the surface. (There aremany correct ways to do these, so your answers may…

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Q: Plot the surfaces in Exercises 49–51 over the indicated domains. If you can, rotate the surface into…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The surface r(u,v)=(u,2v,3u – 4v) is a (a) cone. (b) plane. (c) sphere.

A: Given :The given surface is r(u,v)=&lt;u,2v,3u-4v&gt;To find:we have to check the given…

Q: The parametric representation of the surface x² – 8x + z? = 0,0 < y < 5 is a) ř(u, v) = (4 cos u , 4…

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Q: 2) Find parametric representations for the following surfaces: a) S: the portion of the plane that…

A: We shall solve both the parts. We will make use of the formula for the plane passing through three…

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Q: Sketch the solid in the first octant that is enclosed by the planes x = 0, z = 0, x = 5,  z − y = 0,…

A: We have to sketch the solid in the first octant that is enclosed by the planes x = 0 , z = 0 , x = 5…

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: Determine the area of the surface. The part of the surface z=1+3x+2y^2 lying on the triangle with…

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

A: Given: The part of the plane  z = x + 2  that lies inside the cylinder  x2 + y2 = 9.

Q: Use Stoke's theorem to evaluate F dr where F(x,y, z)=e-7i+ +e"k and C is the boundary of the part of…

A: Let Fx,y,z be a vector field and the surface S is bounded by a simple closed curve C. The Stoke's…

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Q: The parametric representation of the surface y2 - 4y + z2 = 0,0 < x < 3 is a) 7(u, v) = (v, 2 + 2…

A: solution:y2-4y+z2=0 , 0≤x≤3considery2-4y+z2=0∴y2-4y+4+z2=4∴y-22+z2=22

Q: Please make sure its right. calc 3 Find a parametric representation for the part of the plane z = x…

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Q: 1. Use the Stoke's theorem to evaluate f VxF n- dS with F(r, y, 2) = (22,-3ry, ry) and S is the…

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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: Find a parametric representation for the surface. The part of the sphere  x2 + y2 + z2 = 100 that…

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Q: A- The level surfaces f(x, y, z) = x² + y² + z² 11 = 0 and the plane g(x, y, z)= x+y+ Z- - 5 = = 0…

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Q: find a parametrization of the surface. (There aremany correct ways to do these, so your answers may…

A: Given information: The surface equation of the cylinder is y2+z2=9 between the plane is x=0 and x=3.…

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Q: Find parametrizations The portion of the sphere x2 + y2 + z2 = 36 between the planes z =-3 and z =…

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Q: 59. Let f(x, y) = x². %3D (A) Explain why the cross sections of the surface z = f(x, y) produced by…

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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: Set up and simplify the surface integral ∬S F dS where F(x,y,z) = 2xi + yzj - √y k and S is the part…

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Q: Exercise 7.2.8. Apply Stoke's theorem to find F - dr, where F = yi+zj+ækover the surface S, %3D…

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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: The parametric representation of the surface y2 - 4y + z2 = 0,0 <x< 3 %3D is a) F(u, v) = (v, 2 + 2…

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Q: find a parametrization of the surface. (There aremany correct ways to do these, so your answers may…

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Q: (i) Sketch the surface of the plane. (ii) Evaluate 6. F. dr by Cusing Stoke's theorem.

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Q: The parametric representation of the surface x2 -8x + z2 = 0,0 < y 5 5 %3D is a) (u, v) = (4 cos u ,…

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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: Find the parametric representation for the surface with the given boundaries. The part of the sphere…

A: To find the parametric representation for the surface , x2 + y2 + z2 = 144 , that lies b/w the…

Q: find a parametrization of the surface. (There aremany correct ways to do these, so your answers may…

A: Given the portion of the plane is x+y+z=1 inside a cylinder x2+y2=9 and also let inside a cylinder…