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('1 point} Suppose D is the region in the rst quadrant bounded by the ellipse 16.!2 + Buoy2 = l. The goal of this exercise

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('1 point} Suppose D is the region in the rst quadrant bounded by the ellipse 16.!2 + Buoy2 = l. The goal of this exercise is to compute .\" sin(16x2 + 363'!) dill. While the constant functions in Euclidean coordinates are verthau'horizontal lines, the constant functions in polar coordinates are circles and lines. Pcler coordinates are the best way to parametrize circular objects. The region in polar coordinates is given by Jim?) 2 E rocsl 31m?) = E rsin Here, the region B becomes the region R given by If} 5 r 5 1 and E 5 6' 5 . Furtnen'nore, the Jacobian ofthis trensfonneticn is given by 6(le _ 60,9) _ ' i. particular amuse \"gym 2 m mg: l: . 9 RE

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