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研究所、轉學考(插大)-微積分
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111年 - 111 國立高雄師範大學_轉學生招生考試試題_電機工程學系二年級：微積分#116291
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3. Show the area enclosed by the ellipse
= 1 in Fig. 1 is 6π. (10%)
其他申論題
(a) Find an equation of the tangent line to the curve y = at the given point (1, −1). (5%)
#496771
(b) Sketch the graph of the first derivative ℎ' (x) where ℎ(x) = |x − 1| + |x + 2|. (5%)
#496772
(a) (5%)
#496773
(b) (5%)
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(a) Find the values of A, B and C. (3%)
#496776
(b) Evaluate the indefinite integral ∫ f(x)dx. (7%)
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(a) Prove that the inequality holds for any function f(x) that is continuous on [a, b]. (5%)
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(b) Show thatdx . (5%)
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6. Evaluate . (10%)
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7. Find the point on the parabola y2 = 2x that is closest to the point (1, 4). (10%)
#496781
= 1 in Fig. 1 is 6π. (10%)
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= 1 in Fig. 1 is 6π. (10%)