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10. Find the area of the region bounded by the graph of f(x) = 2 + x - x² and the x-axis:_________ .

其他申論題

6. Find the interval on which the function f(x) = x3 - 3x2 - 9x + 12 is decreasing:_________

11. Find the value of the integral =_________

12. Find +ydA where Q={ (x, y) : -1 ≤ x ≤ 2, 1≤ y ≤3 } : _________.

13. Let f(x, y) = , x = 1 + t2 and y = 1 - t• =_________

14. Let f(x, y) = cos(x2 + y), x = and y = st =_________

15. Find :_________.

16. Let f(x, y, z) = x + 2xy - 3z2. Find the direction vector along which the directional derivative at the point (1, 0, 4) reaches its maximum. =_________

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