Let G(x, y, z)= (1+9xy)2 and consider a surface S given by the parametrization r(u, v)= [u, u', v], -1sus1,0svs1. Then the value of the surface integral J G()dA is given by

Q: = (1 – t)i + (4 + t)j ess your answer as an ir erical answer only.

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Q: Let z g(x, y) = f(3 cos(xy), y + e#v) provided that f(3,5) = 4, f1(3, 5) = 2, f2(3, 5) = 4. i) Find…

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Q: Compute the differential of surface area for the surface S described by the given parametrization.…

A: Given that we need to determine the differential of surface area using above parametriation.

Q: (5) Use Stokes' Theorem to find the line integral |(* + 2y°)i + (y + z°) +(= + 2r*)k) • dř where C…

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Q: Let z = g(x, y) = f(3 cos(ry), y + ev) provided that f(3, 6) = 4, fi(3, 6) = 2, f2(3, 6) = 3. %3D i)…

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Q: Let z = g(z, y) = f(3 cos(ry), y + e") provided that f(3, 7) = 4, fi(3, 7) = 2, f2(3, 7) = 3. i)…

A: Let z=gx,y=f3cosxy, y+exy f3,7=4, f13,7=2, f23,7=3

Q: Let z = g(x, y) = f(3 cos(ry), y+ e") provided that f(3, 5) = 5, fi(3, 5) = 2, f2(3, 5) = 4. %3D %3D…

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Q: f(x,y,z) = x e Yz. a) Find Vf = Type an exact answer, using radicals as needed.) b) Determine the…

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Q: Consider the surface S(u, v) = -dS.

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Q: Let z = 9(x, y) = f(3 cos(xy), y + e™y) provided that f(3,7) = 4, fi (3, 7) = 2, f2(3, 7) = 3. i)…

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Q: Let z = g(x, y) = f(3 cos(ry), y + e²") provided that f(3,5) = 7, f1(3,5) = 2, f2(3, 5) = 5. i) Find…

A: The function given z=gx,y=f3cosxy,y+exy;f3,5=7,f13,5=2,f23,5=5. i. Find g10,4

Q: Let z = g(x, y) = f(3 cos(ry), y + eV) provided that f(3, 5) = 7, fi(3, 5) = 2, f2(3, 5) = 5. i)…

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Q: 2. For the surface z = In(y+ Vx² + y²). (b) Find the linear approximation at the point (3,-4).

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Q: Give a parameterization for the surface z F(u, v) = (u, v, ). x² - y²: = x

A: NOTE: Refresh your page if you can't see any equations. . the given surface is

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Q: i) Find g1 (0, 4). ii) Find g2 (0, 4). iii) Find the equation of the tangent plane to the surface z…

A: Since g(x, y) = f(3cosxy,y+exy)

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