b) Determine whether the series n=1 find its sum. Show All Your Work! n-1 (-3)* 4" is convergent or divergent. If it's convergent,

Q: 82. lim (1 + 10)²

A: Explanation of the answer is as follows

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A: The given equation,    2k2-3k-10=0

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A: The given integral is: I=∫-x2+4x+5dx=∫9-4+4x-x2dx=∫9-4+4x-x2dx=∫9-(x-2)2dx

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A: We have to above the question

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A: Given query is to find the average value ifbthe function.

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A: We need to describe graph of given function.

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A: Solution is here

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A: Here, the given parametric curve is: x=t33, y=t+1; 1≤t≤2⇒x'(t)=t2, y'(1)=1 Now, the surface area…

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A: Given query is to find the value of deposited amount.

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A: Solution is here

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A: At first, we will do partial fraction then we will do integration

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Q: || ti + t²j||dt|

A: Explanation of the answer is as follows

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A: As per our guideline we are supposed to answer only first question of a multiple type of questions.…

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A: Please see the answer below.

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Please see the answer below.

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Q: 14. Evaluate the following √x-²sec (+)tan ³ ( =) « dx 2tan (²) [7tan² ( ² ) +11] +C 77 2tan…

A: To evaluate: I=∫x-2sec41xtan521xdx Substitute 1x=t⇒-1x2dx=dt⇒x-2=-dt So, I=∫sec4t  tan52t…

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A: Answer is in step 2.

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