10 8 Consider the function f(æ) Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) :

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A: Given problem:-

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Q: A Moving to another question will save this response. buestion 9 Consider this expression: -1 sin…

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Q: Express the series using sigma notation 6m + 3m + 0 + (-3m) + (-6m) ...

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Q: Moving to another question will save this response. uèstion 4 Consider this function: y=-5 sin(3x +…

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Q: Find the integrals by the method of partial fractions. x² – 3x + 4 dx ·J (a +1)(x – 1)(r+2) 1. 5х —…

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Q: The solution of the ordinary differential equation -y(4) + 4y" = 0 is: O c_0+c_1 x+c_2 e^(3x)+c_3…

A: Given -y(4)+4y''=0To find solution of Ordinary Differential equation:

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Q: Find Laplace Transform for 1- f(t) =te"; 2 - 3 – f(t) = e" sin 3t ; 4 | 5- f(t) = (2t+ 3e" +4sin 31…

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Q: x-1 y = log x+1

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Q: Stan@ -1}de

A: ∫ tanθ dθ = -lncosθ+C ∫sec2θ dθ = tan θ +C.

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Q: a) Explain why the function f(x) = e#² is not injective (one-to-one) on its natural domain.

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Q: The terms of a series are defined recursively by the equations az = 5 5n + 2. an. an+1 4n + 11…

A: Here, the given series has: a1=5, an+1=5n+24n+11an

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Q: Evaluate the limits lim 5x+ 6. undefined

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Q: EXERCISES Solve the following differential cquations 1. =-sec(xy) Ans. sin x = +C dx 2x2 x +y Ans.…

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Q: Plz solve both these are just mcqs type questions so plz solve this both

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Q: Using the Nth term test for divergence, V5n-2 n2 n=1 diverges since lim V5n-2 n² is equal to n→∞ 8.

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Q: The first English dictionary, prepared in 1604 by Robert Cawdrey, defined 3,000 English words. In…

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Q: What is the solution of D.E y"- 3y' = -2cos(2x) when solved using the method of undetermined…

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