Find the limit limx→0 e³x -COS X X if it exists.

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A: properties of lagrange multiplier (λ)

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Q: 3. Use the method of separation of variables to solve the problem Ut = xUxx x € [0, 1], t≥0, U (x,…

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Q: T F 66. The functions f(x)= x±1 and g(x) = x-lare inverse functions of each other. x+1

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

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Q: k) f(t)= t³ cos(3t)

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Q: Solution is incorrect.

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Q: PAST PRACTICE EXERCISES

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Q: Z= 3 15 0 - 1 3 0 - 1 - 2 V2 6 - 1 12 3

A: Assume

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A: The power series is of the form ∑n=0∞an(x−a)n with centered at x=a .

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Q: T T T T F F F F 14. The positive irrationals are closed under addition. 15. The negative real…

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Q: 1. Determine if the series converges. If it does, give the sum. 19 19 19 + 7 49 343 19

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A: Solved below