(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have several problems:

1. Calculate [tex]\int\[/tex]F. drover C

F= (y^{2},-x^{2}) and C is the portion of the ellipse x^{2}+ 4y^{2}= 4 which lies in the positive quadrant.

2. Calculate [tex]\int[/tex] (3x^{2}+ 3y^{2})^{1/2}ds where C is the part of the hyperbola x^{2}- y^{2}= 1 from (1,0) to (cosh2, sinh2).

2. Relevant equations

3. The attempt at a solution

1. I have worked this out and got -20/3 but I'm unsure if it can be negative? I'm not very confident with working them out so am unsure about my answer. I can post more working if this is incorrect.

2. I assume I need to use the parameters x=cosht, y=sinht and integrate from 0 to 2. However, I am confused as to what I multiply by after I have subbed in for x=cosht and y=sinht, before I integrate, if that makes sense.

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# Homework Help: Two variable calculus

Can you offer guidance or do you also need help?

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