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研究所、轉學考(插大)-微積分
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106年 - 106 國立臺灣大學轉學生招生考試試題_(商、管、農、經學院聯招) ：微積分(C)#113214
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1.
=?(10%)
其他申論題
6. (10 points)Find the area of the polar region R, where R is bounded by the smaller loop of the curve r = 1 + 2cosθ.
#483700
7. (10 points)Find the interval of convergence of the series. Then identify the values of x for which the series converges absolutely or conditionally.
#483701
8. (10 points)In which direction from the point (1,1) is the directional derivative of f(x)=x2+y2 zero?
#483702
9. (10 points)Determine and classify the stationary points of the function f(x,y)=x2+y3+6xy-7x-6y.
#483703
2.=?(10%)
#483705
3.It is known that 2x3+y2= 5xy. Determine the value of dy/dx when (x,y)=(1,2). (10%)
#483706
4. Find the arc length determined by the curve y= over 1≤ x＜ 2. (10%)
#483707
5.=? (10%)
#483708
6.=?(10%)
#483709
7. =? (10%)
#483710
=?(10%)
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=?(10%)