g) sec 20+sec 0 =0

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A: First we find RREF of B, BT then we find basis for R(B), R(BT), N(B) and N(BT)

Q: 10. use. Σn'e™** Use any test to determine whether "=1 converges or diverges and state the test you

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Q: ∞ If 0 ≤ f (x) ≤ g (x) and f(x) dx diverges, then 5. g(x) dx also diverges.

A: Solution:-

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A:

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Q: ∞ 1 3) Σ(-1)"+1. yn+3 n=1

A: Solution:- At one time I submit first question only.

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A: This is a classic application of pells equation. We first transform the equation into a pells…

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Q: 11-33/2+99/4-297/8 calculate to sum of the first 10 terms of the following series

A: Solution:-

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Q: Note that we also have Laplace(g(t)U(t-a)}=eas (a) Find the Laplace transform of the piecewise…

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A: This is a Graph Theory problem.

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Q: = xy², Calculate F-nds where F = and OS is the boundary of the surface z = 0≤x≤ 1,0 ≤ y ≤ 1 oriented…

A: To evaluate the surface integral for the given surface and the vector function F. F=&lt;2,xz,z3&gt;…

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A: We have to find 1st few term of the given sequence.

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Q: 3. Use Laplace Transforms to solve the given differential equations d²x dt² a. b. d²x dt² dx dt +6…

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Q: 29. Find the best approximation to z by vectors of the form C₁ V₁ + C2 V2. Z= 4 -6 2 4 V₁ = 3 -1 0 1…

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A: To find the ODE and its solution.

Q: Find a power series for the function, centered at c. 1 f(x) = C = 3 8-x f(x) = 00 Σ n=0 X Determine…

A: We have to find the power series of the given function.