Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k =[ODi+(Dj+(Ok] (Simplify your answers. Use integers or fractions for any numbers in the expression.)

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A: A detailed solution is given below.

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A: Solution is given below:

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A: The given integral,      ∫13arctanx dx

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A: We need to find minima, maxima, points of inflection.

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Q: please can you also answer number 3.

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A: The given function is: f(x)=xx2-1

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A: we have to translate the curve.

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A: Use derivative for finding the extreme point.

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A: Let's find.

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Q: Can you please type it

A: Answer is given in next step.

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A: Let's find.

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A: limx→a f(x) =L if and only if limx→a- f(x) =limx→a+ f(x) =L Note : As per our guidelines we can…

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A: We can solve this as follows:

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Q: Calculus Question

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Q: use the first fundamental theorem of calculus

A: To solve the following problem