Use Stokes' theorem to evaluate dr. Assume C is oriented counterclockwise as viewed from above. F= xyi + 7yzj + xzk; C the boundary of the plane z =1-y shown in the figure

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Q: be a commutative ring with identity and let V be a free K – module of

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Q: Q/ Use Lagrangian polynomial to find f'(2.1) from the following table x 1 2 3 |f(x) 10 17 22

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Q: 2- Use Eq. (1) to prove the recurrence relation: (n + 1) Pn+1 = x(2n + 1) Pn - n Pn-1

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Q: ITEM 3. Prove: If A C B and BC C, then ACC.

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Q: Given: surface G : y = e^Z (1) Graph S in the three-dimensional space.

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Q: 15. y = sec'x, y 8 cos x, -T/3 < x< T/3

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Q: Let f(x, y) y? 4 (a) Find the domain and range of f. (b) Draw a contour map of f for k -3, –2, –1,0,…

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Q: )Use the improved Method Sove the: ら*52びン0 yl0)1 h=or

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Q: Find the work done by F over the curve in the direction of increasing t. F = -4z i + 6x j + 7y k;…

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Q: Hew. O find the root of PW=R-1)e_1 sush that I f cast < Ix 65 , we NiP.M.

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