Find the first four terms of the binomial series for the given function. -2 1+ 10 OA 1-맛+ 100 250 1 1 O B. 1-X+ 100 250 1 1 O C. 1--x+ x² 25 500 1 O D. 1-EX+ 25 .3 125 1/5

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A: This question can be solved using the concept of arc length.

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A: Use integral test for checking the convergence of series

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A:

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A: Solution of 1st question.

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A: We have to solve

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A: Use formula of annual percentage yield

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A: Solution: Given data

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A:

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A: 1/infinity=0

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A: Solution:

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A: Surface area

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A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

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A: We want to integrate the given function.

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A: Here we have to determine whether the given improper integral diverges or converges.

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Q: For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y = 0?

A: Given,            y=emx and the equation is y''-3y'-10y=0.To find : The value of m that satisfy the…

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A: Solution is given below