Question 10 Find $\iint_R x^2 dA$ where $R = \{(x, y) \mid 25x^2 + 16y^2 \le 400\}$. Round your answer to four decimal places.
Added by Henry H.
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Step 1: The region R is defined by the inequality 25x^2 + 16y^2 <= 400, which represents an ellipse centered at the origin with semi-major axis of length 2√(400/25) = 8 and semi-minor axis of length 2√(400/16) = 10. Show more…
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