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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

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(1 pt) Let f (x, y) = x² ex² and let R be the triangle bounded by the lines x = = 3, x = y/3, and y = x in the xy-plane. (a) Express R f dA as a double integral in two different ways by filling in the values for the integrals below. (For one of these it will be necessary to write the double integral as a sum of two integrals, as indicated; for the other, it can be written as a single integral.) SR f dA = f f f (x, y) d where a = .b , b = = And ſ¸ ƒ dA = ƒ ƒª² ƒ(x, y) d a d C= and d = d + Sm f f ( x, y ) d d where a = , b = = n = p = (b) Evaluate one of your integrals to find the value of R f dA. C = SR f dA = ' and q = = m =

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