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研究所、轉學考(插大)◆工程數學
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109年 - 109 國立成功大學碩士班招生考試_電機工程學系、電機資訊學院、微電、奈米聯招:工程數學#103780
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2. Prove the integral as following
(15%)
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四、黃侃分聲母為「正聲」與「變聲」之差異為何?並由脣音與舌音之變化說明之。(20 分)
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五、「詞義之演變」有多種方式,試說明何謂擴大、縮小與轉移?並舉例說明。 (20 分)
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(II) Where does chemiosmosis occur in eukaryotes? In prokaryotes?
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1.Solve (15%)
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(a) Find the eigenvalues (λ1 ≥ λ2 ≥ λ3) of the matrix (10%)
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(b) Obtain an orthogonal matrix P which givesPTAP=diag (λ1,λ2,λ3) (10%)
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4. Find the eigenvalues and eigenfunctions of the following problem. (20%) y"+λy=0;y'(0)=y'(L)=0
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5. Determine the inverse Laplace transform of the function. (15%)
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6. Let vectorfield F=2yzi-4xzjtspk. Evaluate the value of the surface integral , where Σis the sphere of radius 5 about (-1,3,1) . (15%)
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For problem 1~10, each counts 10 points 1.
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