1-2 For each of the following functions given by power series, find f'(x) and / f(x) dx. Do not find the intervals of convergence. 3nx" 1. f(x) = %3D 4n n=0

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A: SOLUTION: As per given data, f(x)=3 ;[a,x]=[1,x] We know that, if we integrate function between…

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A: Solution: Given data, According to the given options generate the slope filed .

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A: Given :G be a group of oder 60

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A: To solve the given differential equation.

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A: We will solve the integration.

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Q: The interval of convergence of the series (4x-12)" is Zn=0 -3)-+" (n+1) Select one: True O False

A: We can find the interval of convergence by using the ratio test .

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A: We will solve the integration.

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Q: rounded to the nearest hundredth as needed.)

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A: Topic:- application of integration

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A: See the solution in below

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A: A detailed solution is given below.

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Q: 3) Graph the function over the specified interval. Then use the simple area formula from geometry to…

A: This question can be solved using the concept of graphs and derivatives.

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