E33.1 (T/F) Let E be a unit ball and S be its boundary surface. If ffs F-d5= 0, then divF(x,y,z) = 0 for every point (r,y,z) in E.

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Q: Prove that there is no simple group of order 315 = 32 .5 . 7.

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Q: 1. (Section 17.2, 17.3) Find the work done by F(x,y) = -2yi-2zj in moving a particle along y - 4-2r²…

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Q: Exercise 4. Solve Uzz + Uyy = IY₁ u(0, y) = u(n. y) = 0, u(t,0)= u(x, ) = 0, 0<x<*, 0<y<n, 0<y<n,…

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Q: 3. Determine la + b based on the diagram shown if lal 4 65° b - 6 and|b|= 8.

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Q: Find the unique vectors y₁, y2 with the properties y = y₁+Y2, Y₁ Y2 = 0, y₁ € Col A.

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Q: Pounds 120 100 80 60 40 Average Sugar Consumption per Person over Time

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Q: 13, 14, 15, and 16 Graph the curve and find the area that it encloses. 13. r= 2 + sin 40

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Q: (a) Solve the problem max x² + y² + z² subject to x² + y² + 4z² = 1 and x + 3y + 2z = 0 (b) Suppose…

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A: The Price function,  px, y=100-x-y and 0≤x , y≤30 A=2 B=9

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