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Sawa

Need help with a math problem

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1. A football-shaped solid S is obtained by rotating the region above the x axis and below the parabola y = 1 − x^2/2 around the x-axis. Write down, but do not evaluate,the integrals you get for the volume of S using the shell method . 

 

2. Let R be the region in the first quadrant of the x-y plane and inside the ellipse x^2 + 4y^2 = 4.

-  Find the moments M_y and M_x of R about the y-axis and x-axis, respectively.

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Assalamu Alaykum, dear OP.

Here are a few examples similar to your math question. I hope they help solve the equation to your question.

Practice Problem Solutions

http://www.math.colostate.edu/~clayton/teaching/m2260s12/exams/exam1practicesolutions.pdf

Applications of Integration

https://www.whitman.edu/mathematics/calculus/calculus_09_Applications_of_Integration_2up.pdf

Hope they help, insha'Allah.

 

 

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