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研究所、轉學考(插大)-微積分
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109年 - 109 國立臺灣大學轉學生招生考試試題_理工科聯招：微積分(B)#110852
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題組內容
8.
(a)
=__ (19)__.
其他申論題
(a) dA = __(15)__ , where D is the region in the first quedrant that lies betwoen the circles x2 + y2 = 4and (x-1)2+y2=1.
#474788
(b) The volume of the solid R lying below the plane z= 3 -2y and above the paraboloid z = x2 + y2 is __(16)__.
#474789
(a) C is a smooth curve in the upper half plane going from (1,1) to . =__(17)__.
#474790
(b) S is the part of the spherex2 + y2 + z2 = 9 that lies above the cone z = with upward orientation. F = __(18)__.
#474791
(b) The Maclaurin series (the 'Taylor series at a = 0) for x is__(20)__.
#474793
1. Find the equation of the curve on thexy-plane that passes through (3,1) such that for any point P on the curve, the midpoint of the tangent line at P that lies in the first quadrant is P itself.
#474794
(e) Find.
#474795
(b) Assume that on another curve , f obtains local naximumn at (Jc0,yo) which is near . Use linear epproimation to estimate
#474796
1. Find an equation of the tangent to the curve y3 = xy + x + 1 at the point (0, 1).
#474797
2. Evaluate
#474798
=__ (19)__.
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=__ (19)__.