Find the counterclockwise circulation and outward flux of the field F = 7xyi + -5y²j C enclosed by the curves y=x² and y=x in the first quadrant.

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A: Identify the directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b), (c, d),…

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Q: [A] - [35] 6 (1) Find Eigen values. (2) Find Eigen vectors.

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Q: Let R be the region bounded by y=sinz, y = 0 and 2 = with 0≤ ≤. Find the centroid of R.

A: Centroid bounded by the curves

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Q: (e) $₁ = 5 and Sn+1 = √√4s +1 for n ≥ 1.

A: Given s1 = 5 and sn+1 = 4sn+1 for n≥1

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Q: 6. (a) (b) (c) (d) (e) True/false. Give a one sentence justification. A singular 2 x 2 matrix can…

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Q: 2. Show that the following initial value problems are well-posed. (a) y=1-y, 0≤t≤ 2 y(0) = 0. (b) y…

A: We can solve this using Euler method

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A: Subgroup of order 20

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Q: 7. A die is rolled. If it comes up 1, a ball is selected from an urn with 7 red balls and 5 blue…

A: Solution

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Q: Find the Taylor series for the function at the given value of a. Also find the associated radius of…

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Q: the following series is convergent or diverg u are using in each case. Σcos(nn) n² + 3n-2 n³ +4n² -…

A: Test for converges,

Q: X w(t) Let G(x) = √² (4) dt. a - 1. Find a function, w, and a number, a, such that G(x) = 4x-² w(x)…

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Q: Calculate (ri(t) r₂(t)] and [ri(t) x r₂(t)] first by differentiating the product directly and then…

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Q: 2. - 4x₁ + 2x₂ = -6 3x₁ - 5x₂ = 1

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Q: Using Cramer's rule find the x, y and z 2x-y+3z=-3 3x+3y-z=10 -x-y+z=-4

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Q: Find the work done by the three-dimensional inverse-square field 1 F(r) = r on a particle that moves…

A: r(t)=&lt;6,2,3&gt;+t&lt;2-6, 6-2, 9-3&gt; r(t)=&lt;6-4t, 2+4t, 3+6t&gt; r'(t)=&lt;-4, 4, 6&gt;…

Q: 9. 3 and 6 have an interesting divisibility rule. Find another number that has a similar rule.…

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Q: COS T2² (z−1)(z–2) ed) is equal t

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