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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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6. Find the volume of the solid obtained by revolving the region bounded by the curves y = -x
2
+ 4x and y = x
2
about the
x-axis. Answer :____________
其他申論題
2. Find(x) dx. Answer :_______
#480551
3. Evaluatedxdy. Answer :___________
#480552
4. Find the values of a and b that makes the function differentiable at x = 0. Answer : _____________
#480553
5. Find the tangent line to the curve x2 cos2y - sin y = 0 at (0,π). Answer :__________
#480554
7. Evaluate . Answer :__________
#480556
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
b. (6分)
#480561
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