(n!)2 (x-2)2 is equal to The radius of convergence of the series .... .... n=1 3" (2n)!

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A: Integrating factor of the differential equation of the form dydx+P(x)y=Q(x) is given by,I.F=e∫P(x)dx

Q: 2 dt 22. Evaluate o v9– 2t² 2 dy 3-y³ 24. Evaluate o v8-y'

A: 22)I=∫0129-2t2dtt=32 udt=32 duI=∫29-9u2 32duI=2 ∫11-u2 duI=2 sin-1uI=2 sin-12 t301I=2 sin-1(23)

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A: First simplify the given function then use chain rule of derivative.

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Q: Hw2 Integrate the fottowing functens over the given regiont- f cxxy) and %3D f(xay) by-2x and 2- %3D…

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Q: 3. Evaluate the following series: 1 а. с. 4n n=1 11 1+ 2" b. d. 3n n=0 n=1

A: To find the sum of the given infinite series.

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A: function is defined for  x+y2 >0  y2 > -x

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Q: A. Bisection method 1. Consider finding the root of f(x) =x - 3. Let ɛstep = 0.01, ɛabs = 0.01 and…

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Q: dt if t = (6r³ +3r² )* and w=| dw =(r² + 2r – 5)* Determine 9r* (2r +1)(3r +1) (r+1)(r² +2r – 5) b.…

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Q: iv)Find the acceleration after 1s? After 3s? v) Find the total distance travelled during the first…

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Q: A (R - 5) Given the power series E (n - 3) A, xla - 5) n = 2 Use the technique that we covered in…

A: Here, the given series is: ∑n=2∞(n-3)Anxn-5...(1)

Q: Which among the choices is not true about the continuity of f(x)? x²-4x-5 f(x) =D if x # 5 2x-10 3,…

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Q: Σ 2(3n 1) 6n + 4

A: The series is convergentsee below the calculation

Q: 2. An oil well produces 70, 000 barrels of oil on day one. Production is decreasing by 10% a day. a)…

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Q: 2 dt t² +2t +3 18. Evaluate 8 dz z² +8z+ 25 20. Evaluate o

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A: The given differential equation is y'=4xy ............................................. (1)…

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A: Let's find.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: To find the vectors that satisfy the stated conditions.a Oppositely directed to v=3, -8 and half the…

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); u =

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Q: Find the area of the shaded region Blank 1 Note: Enter exact answer ... x = Y 20 1000 y? 20 Blank 1…

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