4. Use mathematical induction to prove that Vn E Z* u {0}, []²=o(2i + 1)! > ((n + 1)!)**. n+1

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A: Given that  y'+y=eex We have to solve the above equation.

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Q: (d) Vn2 +4 (n + 19)° 8 n=1 (e) COS n + 3n 4n n=1 IM:

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A: Given: f(x, y) = cos(x + y) + cos x + cosy;    0≤x,y≤2π  

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Q: 3 limy 0 1 - x!

A: This is the problem of limit and calculus.

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Q: Solve the given equation 5x + 2z+ 10 = 0 by obtaining the roots. Answer: a. 4-14角 d.

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Q: (a) Let A € R™×n be a tridiagonal matrix, i.e. bị Ci ... az b2 c2 0 a3 b3 ... ... A = 0 0 0 0 0 0 bn...

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Q: (2) y(x2 + y2 – 1)dx + x(x² + y² + 1)dy = 0

A: Dear Student According to Bartley by guidelines we can answer only one question at a time. Please up...

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Q: 1- Solve the set of simultaneous equations below: a- 2x-4y=-24 9x-3y=-3 b- 2x+3y=27 6x+9y=81

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Q: Determine the Laplace transform of: (a) cos(st + 0) (b) sin(ot + 0)

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Q: 3. Find the derivatives of y with respect to x: a) y = xex – e* b)' y = e(*x+) c) y = e*(sin x + cos...

A: To find- Find the derivatives of y with respect to x: y = xex - ex y = e4x + 1x y = exsinx + cosx y...

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A: It is given that,            z = x2-2y2  ;  x = 3s+2t  ;   y = 3s-2t We have to find  ∂z∂s  and  ∂z∂...

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A: We can solve this by using given information

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Q: Find AB and BA. 1 0 [0.73 -0.81 A = and B = 0 1 0.86 0.45 Part: 0/ 2

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Q: The random variable x is normally distributed with mean u = 174 and standard deviation o = 20. Find ...

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Q: cos x xp - cos? x d)

A: Here we have to find anti derivative of d) 

Q: Determine if the given set of vectors is linearly independent. B = {|1 2 }

A: We have given vectors ,  v1→ = 210 , v2→ = 010 , v3→ = -120 We need to show that Given vectors are l...

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Q: Let S be the transformation whose matrix is A, and let T be the transformation whose matrix is B, wh...

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Q: x(^) = x³ + X² +A+2 x(^) = x³ + x² +A+1 x(A) = X³ + 2A² + A + 1 x(^) = 1³ + A +1

A: This is a problem of stability and linear transformation.

Q: Check whether the graph V has Hamilton circuit. If yes, exhibit one. e4 A B es D Graph V

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Q: A man travels in a motorized boat at the rate of 12 kph from his barrio to the town and come back to...

A: The equation that describes the relation between the distance, rate, and time is Rate=DistanceTime.

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Q: Which one is the next figure in the series? ...

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Q: A V log C5+zi)

A: According to the guidelines  I am answering only first question.

Q: 8. Let A = Z+ u {0}, define relation R on A x z* by (k, 1)R(m, n) + kn = lm. (a). Prove that Ris an ...

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