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研究所、轉學考(插大)-微積分
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95年 - 95 國立臺灣師範大學_學士班轉學生招生考試試題_機電工程學系二年級：微積分#122367
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題組內容
7. Evaluate
(b)
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其他申論題
4. Find the area of the region between the graphs of f(x) = 3x³ - x² - 10x and g(x) = -x² + 2x. (10 分)
#521170
5. Evaluate ∫e2x cos 3x dx. (10 分)
#521171
6. Evaluatedx. (15 分)
#521172
(a) ;
#521173
(c) ;
#521175
(d). (20 分)
#521176
8. Let R be the annular region lying between the two circles x² + y² = 1 and x² + y² = 5, as shown in Figure 1. Evaluate the integral (x² + y²) dA. (15 分)
#521177
1. (12 pts)Find the Taylor series generated by f(x)=1/x at a=3. Where, if anywhere, does the series converge to 1/x?
#521178
2. (10 pts)Evaluate ∫excosx dx.
#521179
3. (12 pts)Find the solution to dy/dx = 2xy(y²+1) that satisfies y(0) = 1.
#521180
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