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研究所、轉學考(插大)-微積分
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97年 - 97 中原大學轉學生招生考試_理工群組二、化學群組二：微積分#124600
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9. If f(x, y, z) =
, then
=_________
其他申論題
5. =_________
#529973
6. Assume that f(x) ∈ C ∀x ∈ R and that f(t) dt = ,then f(0) =_________
#529974
7. f(x)=ax³+bx²+cx+d that has a local maxima value of 3 at -2 and a local minima value of 0 at 1, then 9a+3b+c+3d=_________
#529975
8. Suppose g is the inverse function of a differentiable function f and let G(x) =. If f(3) = 2 and f'(3) =, then G'(2) =_________
#529976
10.=_________
#529978
二、計算題:1. Find where Q is the region bounded by the x-axis, the curve y = x², and the line x =.
#529979
2. Find the points on the sphere x² + y² + z² = 36 that are closest to and farthest from the point (1, 2, 2).
#529980
3. Find the area of the region that lies inside the circle r=3sinθ and outside the cardioid r=1+sinθ.
#529981
1. =________
#529982
2. =________
#529983
, then 
=_________
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, then =_________