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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

科目：研究所、轉學考(插大)-微積分 | 年份：108年 | 選擇題數：0 | 申論題數：12

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所屬科目：研究所、轉學考(插大)-微積分

選擇題 (0)

申論題 (12)

1. Find the average value of g(x) = |x| - 1 on [-1,3]. Answer:__________

2. Find6397dd93102f5.jpg(x) dx. Answer :_______

3. Evaluate6397de0174ecf.jpgdxdy. Answer :___________

4. Find the values of a and b that makes the function 6397de3b13388.jpgdifferentiable at x = 0. Answer : _____________

5. Find the tangent line to the curve x2 cos2y - sin y = 0 at (0,π).
 Answer :__________
6. Find the volume of the solid obtained by revolving the region bounded by the curves y = -x2 + 4x and y = x2 about the x-axis. Answer :____________

7. Evaluate 6397dedec4645.jpg. Answer :__________

8. Find the sum of the series6397df08aca69.jpg Answer:_________
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.

2. Use the limit definition to show that g'(0) exists butg'6397df8f27e1d.jpg, where 6397df56f1a6f.jpg

a.(6分)6397e04fac2b5.jpg

b. (6分)6397e07445305.jpg