With respect to the curve 2² - 2xy + 3y² = 1, answer the following questions. 1. What is the curve? 2. What are the coordinates of the extreme points? (You want to think about what this means.) 3. What is the equation of this conic section in the rotated coordinate axes? 4. What is the angle of the rotation?

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A: Solution of given question is written in below steps.

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A: Let's find directional derivative.

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A: The solution is given below

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

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A: As per our guidelines we are supposed to answer only first 3 sub-parts. kindly repost others.…

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A: We have to find whether the series converges or diverges.

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A: Given differential equation is y''+7y'+10y=15te4t We have to find a particular solution for it.

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A: Please see the below picture for detailed solution.

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A: Given differential equation is y''+5y'+6y=-108t3 We have to find a particular solution for it.

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A: We can find the vertical and horizontal asymptotes as below.

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A: Topic:- application of derivatives

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