4 -dx converges or diverges, and find the value if it converges. Determine whether the improper integral Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The integral converges to (Type an integer or a simplified fraction.) B. The integral diverges.

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A: Given: 5,2,-1×2,-1,a=5,-12,-9

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A: This question can be solved using the concept of functions and derivatives.

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A: Note:- These are multiple questions and according to our company guidelinne we can do maximum 1…

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A: Let's find a value.

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A: Given y=2x, y=x-3 x=0, x=4To find area of region enclosed between two curves:

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A:

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A:

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A: Explained below

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A: As per guidelines, I can answer maximum three sub parts of a question. To know rest, please repost…

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A: We have to find value

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A: Use the partial derivative for finding the potential function

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A: Here we have to find the volume.

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A: Given that,

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A:

Q: Exercise 25.7.1. Give the Taylor series of the function 1 f(x):= 3x² around the point c = 1 and give…

A: The function is given by, f(x)=13x2 = 13x-2    ⇒f(1)= 13Differentiating the function 1, 2 , 3 ...…

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A:

Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: limits

A: L'Hospital's rule apply only when there is 0/0 for ∞/∞ form.

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A: A detailed solution is given below.

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A: Please refer to the image below

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A: We will solve the problem.

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A: Given problem:- Find the area bounded by curves y=x2 , y=2-x, x≥ 0

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A: As per bartleby guidelines we only give first question answers.

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A: The objective is to find the general solution using variation of parameter.

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A: Please see the below pictures for detailed solution.

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

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A: Topic = Derivative As per guidelines , At a time only one question can be answered. please repost…

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A: SOLUTION-

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Q: 6. y dy 1+√√y 11

A: SOLUTION-

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