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101年 - 101 國立臺南大學_轉學生招生考試試題_電機工程學系二年級：微積分#124195
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7. (a) Find
, given x
3
+y
2
-5y-x
2
+4=0.
其他申論題
4. Evaluate .
#527911
5. Find the length of the cardioid r=1-cosθ.
#527912
(a)
#527913
(b) , where is a greatest integer function.
#527914
(b) Find first partial derivatives of f(x,y)=.
#527916
8. Find the values of c such that the graph of f(x)=x4+2x3+cx2+2x+2 is concave upward everywhere.
#527917
9. Calculate .
#527918
10. Find . If the solution is written as C + where C is constant,=?
#527919
1.=?
#527920
2. For f(x)= find all real numbers a and b such that f'(0) exists.
#527921
, given x3+y2-5y-x2+4=0.
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, given x3+y2-5y-x2+4=0.