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研究所、轉學考(插大)-微積分
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108年 - 108 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_A2：微積分#112195
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題組內容
3. Determine if the series converges or diverges.
b. (6分)
其他申論題
8. Find the sum of the series Answer:_________
#480557
1. An open rectangular box is to be constructed from material that costs $3/ft2 for the bottom and $ 1/ft2 for its sides. Find the dimensions of the box of greatest volume that can be constructed for $36.
#480558
2. Use the limit definition to show that g'(0) exists butg', where
#480559
a.(6分)
#480560
1.A sector with central angle θ is cut from a circle of radius 2 meters, and the edge of the sector are brought together to form a cone, find the magnitude of θ such that the volume of the cone is a maximum.
#480562
2.Find the balance for $1,000 dollars invested at rate 6% for 20 years by (a) compound 4 times per year； (b) continuous compounding.
#480563
3.Let L be any tangent line to the curve (in the first quadrant) Show that the sum of the x- and y- intercepts of L is c.
#480564
(a)
#480565
(b)
#480566
5.Draw the curve of parametric equations x=t2 +1, y=4t3+3 on the interval 0 ≤ t ≤ 2 and find the arc length.
#480567
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