Find parametric equations for the line through P=(−7,−2,2)P=(−7,−2,2) and parallel to the line through Q=(−19,−7,1)Q=(−19,−7,1) and R=(6,11,6).

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A: The explanation of answer as follows

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A: See this diff equation solution in below with details.

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A: Your solution:

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A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And the common…

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A: Given; y=tanh(ex).

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A: Ans. =2  For detail...go through the solution...I have solved in detail

Q: i

A: We have to choose the correct option from the given options according to the given information

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A: The given problem is solved below in detail

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A: NOTE: Refresh your page if you can't see any equations. .

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A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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A: This is a problem related to integration. Please follow the procedure given below.

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Q: Discuss why it makes intuitive sense to presume that the linear differential equation y" + 2y' + 4y…

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A: Since in this equation there are three arbitrary constant so differential equations is of order 3.

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