For each item, find an equation of the plane with the given properties: (a) containing the points P(2,0, –1), Q(0, 3, – 1) and R(2,3, 1) (b) containing the point P(-2, 1, 3) and parallel to the plane 3 + 4y – 2z + 6 = | (c) containing the point P(2, 1,0) and the line x = 2, y = 3+ 4t, z = -1 – t

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Q: 16j Use integral tables to evaluate, 3

A: I=32∫ 1x9x2-1 dxu=9x2-1du=18x29x2-1dxdx9x2-1=du9xHence;I=32∫ 1xdu9xx2=u2+19I=16 ∫ 9 duu2+1

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A: a) ∑n=1∞3nen-1b) ∑n=1∞1+3n2nc) ∑n=3∞3n-14n

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A: Let's find.

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A: Reupload other questions according to bartleby guidelines

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A: We can solve the given problem as follows:

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: The given series is ∑n=1∞2nn2+n.   Rewrite the given series as follows. ∑n=1∞2nn2+n=2∑n=1∞nn2+n…

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Q: p(a)dx

A: Solution of question is written in below steps.

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A: Function

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Q: 4.) Evaleuate the integrali Jóxarcsin(5a)dx

A: ∫fg'=fg-∫f'gAnd ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xnsee below the answer and calculation

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A: a) h(x)=x37xDifferentiateh'(x)=3x27x+x37xln(7)

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Q: Use the Root test to determine whether each of the following series conve n" (5n - Зп3 a) 231+2n b)…

A: We can solve the given problem as follows:

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A: First we find unit vector of v.

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A: This question can be solved using the concept of maxima and minima.

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A: Explanation of the answer is as follows

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