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研究所、轉學考(插大)-微積分
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94年 - 94 中原大學轉學生招生考試_理工、化學群組二年級：微積分#124618
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13. Let f(x, y) =
, x = 1 + t
2
and y = 1 - t•
=_________
其他申論題
9.=_________
#530114
10. Find the area of the region bounded by the graph of f(x) = 2 + x - x2 and the x-axis:_________ .
#530115
11. Find the value of the integral =_________
#530116
12. Find +ydA where Q={ (x, y) : -1 ≤ x ≤ 2, 1≤ y ≤3 } : _________.
#530117
14. Let f(x, y) = cos(x2 + y), x = and y = st =_________
#530119
15. Find :_________.
#530120
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. =_________
#530121
(a) Plot the domain of integration of (*).
#530122
(b) Evaluate (*).
#530123
2. (a) Prove that for r ∈ R.
#530124
, x = 1 + t2 and y = 1 - t• 
=_________
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, x = 1 + t2 and y = 1 - t• =_________