A path C is defined by the parametric equations x(t)-t, y(t) = 2t, 0≤t≤ 1, and a vector field is defined by the equation F=y³i+xyj. Enter the value of the line integral I #MADE ✓ F.ds in the box below.

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A: Given Graph, We have to find out the disconnecting set.

Q: (7) Let S = {1- (-)" | n € N}. Determine inf S and sup S. Justify. n

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A: This is the problem of counting.

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Q: ι ΣΣΣ r=0 t=0 8-1 T |= t

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Q: f16 sin²x cos²x dx

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A: here we can use the properties of continuous functions.

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Q: -2πS The transform of the solution to a certain differential equation is given by X (s)=- X(s)=1-e…

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Q: 10. Which of the following paths is a bipartite graph? A. P307 B. P105 C. Pist D. P1000

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Q: (a) Write down and OB in terms of the unit vectors i, j and k. (b) Calculate OA OB and hence…

A: Solution:a) Taking O as origin OA→= i^+k^OB→=j^+k^b)OA→.OB→=(i^+k^).(j^+k^)=1Also, |OA→|=2,…

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A: This is the problem of LPP.

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Q: Find any case in which the number of subgroups with an order of 3 can be exactly 4 in the Abelian…

A: Let G be group of order 108=22×33. So G≅ ℤ2× ℤ2× ℤ3× ℤ3×ℤ3, orG≅ ℤ4× ℤ3× ℤ3×ℤ3 , orG≅ ℤ2× ℤ2× ℤ9×ℤ3…

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