1 = and find x 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) 0.254 the equation of the tangent line to f(x) at a "nice" point near 0.254. Then use this to approximate 0.254 1

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A: 6x3 + 2(2x+1) = 8 2x + 4x + 2 = 86x + 2 = 86x = 8 - 26x = 6x = 66 = 1

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A: We will evaluate the given integral in the following step.

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: Expand series and solve

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A: A detailed solution is given below.

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A: Use partial derivatives.

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A: This question is based on finding tangent line using implicit differentiation.

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A: answer is in next step

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Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Question-   If the population of a city is 155,000. If the population declines continuously by 5%…

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A: follow the procedure given below.