Use Comparison Test to determine whether the series 5n – cos 2n - converges or diverges. n³ + n² + 1 n=1

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Q: 1 ;, n > 3. n vIn n Let an Show that the sequence {an}-3 is decreasing.

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A: x = input("Enter no.of insects died in first hour : ")n = 7;f = 900;while n >= 1    n = n-1;    x...

Q: how many factors does 16480464000 have

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Q: A: Find the Fourier of the following function and sketch: f(x) ={ if - A<x<0 0 <x<I x +n if

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Q: 18.8. (a). Let y be the contour z = ete, - T<0< T traversed in the positive direction. Show that, fo...

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Q: Prove the following theorem directly. 'Let B, E,W be sets. If B Ɔ W, then BU E WUE"

A: Given B, E and W are three sets .

Q: Hi I hope it's in written in clear hand  - Determine whether the following relation is i) an equiv...

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Q: Question 10 Evaluate the definite integral of the following vector-valued function: 1/2 di*< 2

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Q: . Calculate the volume of the sol Renclosed bư

A: Given, the plane                     4x+2y-z=0 and above the finite region R enclosed by the curves ...

Q: plz solve it within 30-40 mins I'll give you multiple upvote

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Q: (D3 + D² + 4D + 4) y = 0 ; y (0) = 2 ; y' (0) = –4 ; y" (0) = 2. Find y (7)

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Q: If ā = 2ī +j -k, 5= -i +2j- 4K, č = T +J+k then find |(āxb).(5xē). %3D

A: This is the problem of vector calculus.

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Q: contour y, and the point zo is not on y. Show that 18.4. Let f be analytic within and on a positivel...

A: To Prove: ∫γf(z)(z-z0)2dz=∫γf'(z)(z-z0)dz Now, let us consider g(z)=f(z)z-z0  

Q: Find the value of a - b. (Answer must be an integer) ea s+b Your answer

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Q: Exercise 10. Show that if ACB, then ACB.

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Q: 13. S 5x dx x5-3

A: To integrate ∫5x4x5 - 3dx

Q: 5n – cos 2n п3 + п2 +1 n=1

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Q: Problem 18.11. Let F: X ×Y → Z. We say that F is continuous in each variable separately if for each ...

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Q: 1 Let an n > 3. n vln n +00 Use the Integral Test to determine if the series An converges or diverge...

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Q: 2.it gad Ca,b) = t, prove that god (a be) = gedca,c).

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Q: -2x-2 4x + 8 Given f(x) = f' (x) = (x – 1)3 %3D %3D %3D (x – 1)² ' (x – 1)3 f"(x) (x - 1)4 d. Constr...

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Q: Solve the given initial-value problem. y" + x(y')? = 0, y(1) = 4, y'(1) = 2 %3D y =

A: We have given that, initial value problem, y'' + xy'2 = 0 , y(1) = 4 , y'(1) = 2 Divide both sides b...

Q: sinhx Cosydx=coshx= Cosh x Cosy =C, c)r²ē

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Q: d) Determine whether ) (an + bn) is convergent or divergent. n=1

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Q: 2-16 4. lim X-4 x+4 Vx-4 5. lim I-4 X-4

A: a). Consider the limit limx→-4x2-16x+4. Observe that the function is undefined at x=-4 since will be...

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A: Here  sin(x) - x/2 = 0Let  f(x) = sin(x) - x/2 ∴ f′(x) = cos(x) - 1/2 Let x0 = π2 

Q: Solve simultaneously y(t) = 1 – al(t) 2 (t) = 2y (t) æ(t) = -yr(t) where x (0) = 2, a' (0) = -1, y (...

A: Given that yt=1-x''tz't=2ytxt=-y't We have to find only yt

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Q: Item # 1. The price-demand equation relating x, the number of campaign ballers sold, and p, the pric...

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Q: iz + 5i + 7 For questions 4 & 5: I = -dz, C traversed CCW z2 - 4z + 4+ 2i Question 4) Find I for C :...

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