Let r = xi + yj + zk and r = [r]. Find each of the following. (Give your answers in terms of r.) (a) v.r r (b) ▼. (rr) (c) ²,3 X

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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: we have given integration

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A: We have,    f(x) = ax + b    Points : (1,1) and (2,3)

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A: The curve is  and the point is

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A: y= x7+7x3+1We have to find concavity and inflection point

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A: The given function is:

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A: Note:Since you have posted multiple questions we will solve the first question for you. If you want…

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A: By using the Law of Sines to solve (if possible) the triangle for the value of .

Q: Use one of the formulas below to find the area under one arch of the cycloid x = t - sin(t), y = 1 =…

A: Using one of the formulas, we can solve the question

Q: A Find the volume of the portion of the solid sphere p ≤ 5 that lies between the cones and =

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A: ∫ lnx / x  limit 0 to 1

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A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

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Q: How did you get the 1 over x^2 in the denominator: -x(8+ 1/x^2)?

A: We have to find the limit of the function:    when x approaches to infinity.

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A: given graph of y=f(x)

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A: given limit

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Q: a. If A commutes with a b [86] 0 a A = 0 1 [8]. 0 for some a and b. A = b. If A commutes with - [aa]…

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Q: There is at least one polynomial function which satisfies the conditions below. F(7) = −28; F'(x) is…

A: we have given f(7)=-28, f'(x) is not zero but f''(x)=0.