Let S be the upper half of the unit sphere x +y +=1 and take n as the upper unit normal. Use Stokes' theorem to find / (V x v) n] dơ given that v(x. y, 2) = 32'i +3xj-3y'k. X v) a) -3x b) 3x c) 2 d) 6x e) 9x None of these.

Q: 12 3. 5. 13 18 -1 For what value of hs in the plane spanned by j and i? Preview Answers Submit…

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Q: 20. Let S be an oriented surface parametrized by r(u,v). Define the notation do = r, du × r, dv so…

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Q: 36 Find the equation of the tangunt Hne plane at l'2,1) and f L1.95, to fxiy) = Jao-xa - Tya %3D use…

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Q: For each of the parametric surfaces o given below and every pair of param- rs (u, v) in the domain…

A: Since you have posted multiple questions, as per the guideline, I am supposed to solve only first…

Q: t sphere x² + y² + z² = 1 and take n as the upper unit normal. Use St v(x, y, z) = 3 yi-2xj+4zk.

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Q: 1. Which of the following equations is an equation of a hyperboloid of two sheets? A. x^2 − y^2 −…

A: The answers are given below

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Q: Suppose r(u,v), for (u,v) E D, is an oriented parametric surface. Which of the following is an…

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Q: 19. Suppose that the normal unit vector N of a surface S at z =f (x,y) is determined, how does the…

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Q: 19. Supposethat the normalunit vector N of a surface S at z = f(x,y) is determined, how does the…

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

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Q: 4) Find the families of lines of curvature of the surface z = r + y? .

A: Given: z=x2+y2

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A: In polar coordinates, substitute x =r sin(theta) and y= r cos(theta)

Q: eraluate (F di in hoc x y 2. where is me curue an Plane pom (0,0)

A: Formula Used:-∫CF→.dr→=∫abF→(r→(t)).r'(t)dtfor a≤t≤b

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Q: 19. Suppose that the normal unit vector N of a surface S at z = f(x, y) is determined, how does the…

A: Note: As company policy, we solve first question only. Please resubmit the rest of the questions in…

Q: Exercise 2 Find symmetric equations of the normal line to the surface 4 + y – 162 = 0 at (2,4,2).…

A: Given surface is     4x2+y2-16z = 0We will find the symmetric equation of the normal line to the…

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

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Q: 10. 11. Find a unit normal to the vector d = [3, −4] a) ₁ = [₁] b)= [₁] ©^=[²] • ñ = [§ › }] /] c) â…

A: 10) Given that  .We  have  to  find the unit  normal  vector  to  the vector  Note that Then, So,…

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A: Given:  The researcher wants to test the hypothesis that x is different from 100 with non parametric…