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94年 - 學士後西醫微積分94微積分#84743
> 試題詳解
10.
(A)O
(B)X
答案:
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統計:
A(1), B(1), C(0), D(0), E(0) #2264874
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6. If f is a differentiable real value function on (a,b) and c ∈ (a,b) such that f ′(c) = 0 ,then f has a relative maximum or minimum at c. (A)O (B)X
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7. If f ′ is bounded , then f is bounded. (A)O (B)X
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8. The (A)O (B)X
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9. If a function f :[a,b] → R is continuous, then f is Riemann integrable. (A)O (B)X
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11. If the interval of convergence for power series is (-2,2) , then the interval of convergence for power series is : (A) (−√2, √2) (B) (−2, 2) (C) (0, 4) (D) (1− √2,1+ √2) (E) (−1,1)
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12. (A) 1/2 (B) √3 (C) (D) -1/2 (E)
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13. Find the arc length of the curve , 1 ≤ x ≤ 4 . (A) 36 (B) 30/4 (C) 62/5 (D) 126/6 (E) 254/7
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14. Find the derivative of the function f(x) = 2-x sin x2 . (A) 2-x+1x cos x2 - 2-x-1sin x2 (B) 2-x+1x cos x2 - 2-x ln 2sin x2 (C) 2-x cos x2 - 2-x-1sin x2 (D) 2-xx cos x2 - 2-x-1ln 10 sin x2 (E) 2-x+1x cos x2 - 2-xsin x2
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15. (A) 3 (B) ln 3 − ln 2 (C) 2ln 2 (D) ln2−ln3 (E) 2ln 3
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16. If f(x) = cos 2x , find the value of f(8)(0) . (A) 128 (B) –128 (C) –256 (D) 256 (E) 512
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