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Hello! How to do questions 19, 21,23, and 24? thank you EXERCISES 14.2 Sketching Regions of Integration 21. / erty dx dy 22. J. S
Hello! How to do questions 19, 21,23, and 24? thank you
EXERCISES 14.2 Sketching Regions of Integration 21. / erty dx dy 22. J. S In Exercises 1-8, sketch the described regions of integration. 1. 0 5 1 5 3. 05) 52 2. - 1 515 2 1-15151 24. [ zenvedy dx 3. - 2 5 1 52 VS154 4. 0 5 ) S I. JS 1 5 2y In Exercises 25-28, integrate f over the given region. 25. Quadrilateral f(x, y) = x/y over the region in the first 6. Isase Osys Inx rant bounded by the lines y = x, y = 2x, x = 1, and x = ) 7. 0sys1, Osis sin ly 26. Triangle f(x, y) = x2 + y2 over the triangular region wi tices (0, 0), (1, 0), and (0, 1) 8. 051 58. 7515)13 27. Triangle f(u, v) = v - Vu over the triangular region cu the first quadrant of the uv-plane by the line u u = 1 Finding Limits of Integration 28. Curved region f(s, t) = es Int over the region in the firs In Exercises 9-18, write an iterated integral for JJR dA over the rant of the st-plane that lies above the curve s - int from described region R using (a) vertical cross-sections, (b) horizontal to t = 2 cross-sections. Each of Exercises 29-32 gives an integral over a region in a C 10. coordinate plane. Sketch the region and evaluate the integral. 29 . / 2 dp du ( the pu-plane ) VI - $2 30. 8t dt ds (the st-plane) TT /3 ~ sect 31. 3 cos t du dt (the tu-plane) T / 3 JO 11. 12 . 32 . 1 30 - 21 du du (the uv-plane) y = ex Reversing the Order of Integration In Exercises 33-46, sketch the region of integration and equivalent double integral with the order of integration reve V = 1 33 . dy dx X 34 . * = 2 35. dx dy 36. 13. Bounded by y = Vx, y = 0, and x = 9 dy dx 14. Bounded by y = tan x, x = 0, and y = 1 15. Bounded by y = ex, y = 1, and x = In 3 37 . J dy dx 38. 16. Bounded by y = 0, x = 0, y = 1, and y = In x 3 / 2 19 - 4 x 2 17. Bounded by y = 3 - 2x, y = x, and x = 0 39 . 16x dy dx y dx dy 18. Bounded by y = x2 and y = x + 2 40 . Finding Regions of Integration and Double Integrals 41. 3y dx dy 42 . 6x dy d In Exercises 19-24, sketch the region of integration and evaluate the integral. IT. xsiny dy de xy dy dx 44 . 20 . we dy dx 45. (x + y ) dx dy 46. Vxy dxStep by Step Solution
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