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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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6. Assume that f(x) ∈ C ∀x ∈ R and that
f(t) dt =
,then f(0) =_________
其他申論題
2.=_________
#529970
3. =_________
#529971
4.=_________
#529972
5. =_________
#529973
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
9. If f(x, y, z) = , then =_________
#529977
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
f(t) dt =
,then f(0) =_________
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f(t) dt = ,then f(0) =_________