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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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4. Let C be the curve of intersection of the two surfaces x
2
+ y
2
+ z
2
= 3 and (x - 2)
2
+ (y - 2)
2
+z
2
= 3. Find parametric equations of the tangent line to C at P = (1, 1,1).
Answer :__________
其他申論題
(d)證明皆收斂。
#480517
1. Find the limit:Answer: _________
#480518
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
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
8. Find the area of the region enclosed by the limagon x= 2 cost- cos2t, y=2sint-sin2t, 0≤t≤2m Answer :__________
#480525
1. LetUse polar coordinates to show that f(x, y) is continuous at all (z, y) ifp ≤ 2, but discontin- uous at (0,0) if p ≤ 2.
#480526
a. Dotermine whether the seriesdiverges or converges conditionally or converges absolutely and give reasons for your answer. (6 points)
#480527
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