Use the divergence theorem to calculate the flux of the vector field F(x, y, z)=-3ry-ly:j-Szak through the sphere S of radius 4 centered at the origin and oriented outward F-dA

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Q: 2) (2.2. Conver the Following differential equation into a Perfect equation and then find its…

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Q: Prove for all m, n, and k in w, that (m⋅n)k = mk.nk.

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Q: da da da -LEVEL LIVE / VE-VE b. a. C. 1+

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Q: 2. Evaluate Solve all parts or I'll dislike. If you can't solve all parts just skip it dx da dr d.…

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Q: ANSWER THE FF. IF THEY ARE ALWAYS TRUE, SOMETIMES TRUE OR NEVER TRUE 1. All open sets are bounded.…

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Q: (b) Prove that 2m ≤ m! + 2 for m ¤ N. (c) For any nonzero real number x, prove ---3 i=1 = 1- x -n

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Q: (a) Find the infimum and supremum of the set S=2- n² EN} (b) Prove or disprove: If a set SCR has a…

A: These are the questions from point-set topology.

Q: Which among the sets is open? O [0,1) O {0,...1/n,...,1/3,1/2,1} OR\[a,b] O None of the above.

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Q: Prove or disprove: All uncountable measurable subsets of ℝ have positive measure.

A: All uncountable measurable subsets of ℝ have positive measure.

Q: 5 By separation of variables, Solve the followin PDES :- du dt d2u dx2 @ o U (0₂t) =(4,t) = G u(x,0)…

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Q: Evaluate L{3e−2(1−t)+t3e2t+2t2sinh(2t)−4e−2tcos(π−3t)}

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Q: = Solve the recurrence relation an an = an-1+2" with ao = 4.

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Q: Which among the sets is open? [0,1) O {0...1/n....1/3,1/2,1} OR\[a,b] None of the above.

A: To choose the open set form given sets.

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Q: into a convert the Following differential equation Perfect equation and then Find its general…

A: Let us find the general solution of the given differential equation in the next steps.

Q: 1. The product of (5254)^143 and (14344)^143 under modulo 143 is congruent to ___. a. 98 b. 121 c.…

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Q: 1. Consider the function f(x, y, z) = x² + 2y + 2², which is differentiable at (2, 1, 1). 1) find Vf…

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Q: π Show x² x² + x² +1 4 √3 -∞0 4 Hint: x² + x² +1= (xª + 2x² +1) − x² = (x² +1)² −x² dx =

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Q: Find 8 + 10 + 12+...+324.

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Q: Q3/ Find the volume of the solid generated by revolving the region bounded by y = 3/(2√x), y = 0 &…

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Q: 1 -1 on 1 of the product matri חר

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Q: Evaluate L {e-3(1-2) - 1¹e³¹ − 21²cos(2t) + 3e¯'sin(3t+ π) +-π)}

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Q: Solve the following using the inverse matrix method: (Show your solution) 5x + y 3x + 2y = 13 5 لت…

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Q: use the Gram-schmidt algorithm to con the base {1, x, x²} space to an orthogonal base where the…

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Q: Consider the function ƒ : R² → R given by 5x² if (x, y) (0,0), f(x, y) = x² + 7y² if (x, y) = (0,0).…

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Q: for a quilt using polygon EQFRGSHP shown.

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Q: Consider the iterated integral 1- L' Love L = 3r dz dr de. Denote by G the solid of integration of…

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Q: Q.3 Solve the heat equation: ************ U,=U.. U_(0,t)=0, U,(7,1)=0, U (x,0)=3-3cos2.x, *********…

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Q: Consider the sequence -11, -6, -1, 4, ..., 5n — 1. a. How many terms are there in the sequence? b.…

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Q: Prove by induction that for all m Ew and all n E w, if m € n, then n m.

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A: The path integral ∫OAF·dr involves the integration over a specific path, where F is a vector-valued…

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Q: Find the solution to the following recurrence relation: -5an-1 for n ≥ 2 with the initial condition…

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" (2a -…

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Q: P, Q and R Find a plane that contains S and is parallel to the plane that contains the points

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Q: erential equations 1. y - xy = 0; M(1,1). 2. y4y² = 1; M(1,0). 3. y 4. yy' - ry³ = 0; M(1,1). 1=1/4

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Q: con ver the Following differential equation into a Perfect equation and then find its general…

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Q: yees). You are free

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A: Solution : The palne 2x+y+2z=8 can be written as                            x4+y8+z4=1 and graph of…

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Q: - 2019 are as follo

A: Given as, Income Scales (TRY) Rate (%) Up to 14,800 15 14,801 - 34,000 20…