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研究所、轉學考(插大)-微積分
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109年 - 109 台灣聯合大學系統(清華、交通、陽明、中央四校聯招)學士班轉學生考試：微積分#112193
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1. Find the limit:
Answer: _________
其他申論題
(a)令β＞a＞0。證明存在θ0=θ0(a,β)使得。
#480514
(b)利用上式證明收斂。
#480515
(c)令M＞1。導出。
#480516
(d)證明皆收斂。
#480517
2. Find the smallest positive (x ＞ 0) infection point of F(x) = dt. Answer :____________
#480519
3. How many local extreme values does the function have? Answer :___________
#480520
4. Let C be the curve of intersection of the two surfaces x2 + y2 + z2 = 3 and (x - 2)2 + (y - 2)2+z2 = 3. Find parametric equations of the tangent line to C at P = (1, 1,1). Answer :__________
#480521
5. Evaluate dA where R is the unit disk x2+ y2 ≤1. Answer :__________________
#480522
6. Find the volume between the two spheres: x2 +y2 + z2 = 1, x2 +y2 + z2 =2 and inside the cone z2 = x2+ y2. Answer :__________
#480523
7. Calculate dA where R is the interior of the ellipseAnswer : ___________
#480524
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