Assume the domain of each of the vector fields pictured is R. Which, if any, of the vector fields are conservative? Which, if any, have divergence=0 (everywhere in the plane). Justify your answer.

Q: 4.Use Lagrang interpolation method to find f(1) based on the following data: -3 2-1 3 ソ=f) 1 2 4 8

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Q: 1 dx x² Vx2 – 9 3.

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Q: Hi W. Solne : du 니 メ Uco,y) = 3ē_ = 34 ニ e | dy Xープ Ans./ ucx,y) = 3 e (2x-5y) 131

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Q: Rewrite 37–39 by separating off the final term. k+1 m+1 n+1 37. Σί() 38. Σ 39. т(т + 1) k-1

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Q: O E sinødø The is equal to cos+Ø tan3ø + C А. sec?Ø В. + C 3 sinØ С. +C 3 cos'Ø D. + C 3 E.None of t...

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Q: Q2 FILL IN THE BLANKS. No justification is required. Let G be the following graph: 9. 10 11 12 13 14...

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Q: Suppose that population of the world now is 6 billion and that its doubling period is 35 years. (a) ...

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Q: sec?ytanydy The is equal to 4 + tan²y In(4 + tan?y) + C A.- 4 In(4 + sec?y) + C B.- 2 In(4 + tan?y) ...

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Q: In how many ways Jane, Liza, Karen, Lea, Jamie, Andrea, Nicole, and Jazz can be seated in a round ta...

A: There are 8 persons  So total number of ways by which they can sit =8!  8!=8×7×6×5×4×3×2×1 =40320.

Q: Find the ic by using Least cost Method? Di Dz D3 Dy supply 10 20 %3D 15 12 7) 20 2, 25 14 16 18 15 e...

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Q: COMBINATIONS Evaluate each expression. 1. C(22,20) 2. C(12,8) 3. C(24,5) 4. C(20,16) C(20,5) 5.

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Q: Apply the eigenvalue method to find the general solution of the given system. Find also th correspon...

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Q: Estimate the area of the curve y = 2x + x - 3 from x = 1 to x = 3 by using 5 rectangles and right en...

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Q: : 2 2. X- -r

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Q: Ql find chromatic number of

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A: As Beta Distribution is given by f(x) = xα-11-xβ-1B(α,β) Here given α = 2.3  and   β = 1 So B(2.3,1)...

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Q: am/n If 727 and 1 - 3, what is the value of – m - rn/m - + 13 - m

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Q: where yco,t) = y (5,t) = = 2Jx2 and y cx, o) y (X,o) = 10 sin 4T X

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Q: A committee of 4 members chosen from 6 women and 5 men. Combination Not Combination

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Q: 1. Factor fully. a) 60х - 10х — 150 b) 12km – 72k – 5m + 30 16у' - 1 d) 49 — у' + х* 2 - 14х

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Q: Answering 3 out of 8 essay questions test. Combination O Not Combination

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Q: 10. Solve the initial value problem dy dy +8 -9y 0 y(1) = 1, y'(1) = 0. %3D dt2 dt

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Q: Which of the following is the general solution to the differential equation (бх + у?)dx + y (2х — Зу...

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Q: Let x, y and n denote integers. Use induction to prove that Vn 2 5: 3x, y > 0 such that n= 2x + 3y 6...

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Q: 3. -1 -1 -2 -3-2-1 0 12 01 2 34 -2-1 4 -3 -2 -1 FIGURE 6.1.12. and saddle point (2, -1). Spiral poin...

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