Apply Green's Theorem to evaluate the integrals in Exercises 27–30. p (y? dx + x² dy) 27. C: The triangle bounded by x = 0, x + y = 1, y = 0 28. (Зу (3y dx + 2x dy) C: The boundary of 0


Apply Green's Theorem to evaluate the integrals in Exercises 27–30.<br>p (y? dx + x² dy)<br>27.<br>C: The triangle bounded by x = 0, x + y = 1, y = 0<br>28.<br>(Зу<br>(3y dx + 2x dy)<br>C: The boundary of 0 < x < ™, 0 < y < sin x<br>29.<br>(бу + х) dx + (у + 2x) dy<br>C: The circle (x – 2)? + (y – 3)² = 4<br>p (2r + y²) dx + (2ry + 3y) dy<br>30.<br>C: Any simple closed curve in the plane for which Green's Theo-<br>rem holds<br>

Extracted text: Apply Green's Theorem to evaluate the integrals in Exercises 27–30. p (y? dx + x² dy) 27. C: The triangle bounded by x = 0, x + y = 1, y = 0 28. (Зу (3y dx + 2x dy) C: The boundary of 0 < x="">< ™,="" 0="">< y="">< sin="" x="" 29.="" (бу="" +="" х)="" dx="" +="" (у="" +="" 2x)="" dy="" c:="" the="" circle="" (x="" –="" 2)?="" +="" (y="" –="" 3)²="4" p="" (2r="" +="" y²)="" dx="" +="" (2ry="" +="" 3y)="" dy="" 30.="" c:="" any="" simple="" closed="" curve="" in="" the="" plane="" for="" which="" green's="" theo-="" rem="">

Jun 03, 2022
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