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研究所、轉學考(插大)-微積分
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105年 - 105 國立臺灣師範大學_學士班二年級轉學生招生考試試題_地球科學系、物理學系：微積分#120314
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題組內容
3. (20 points) Find the integrals
(a)
其他申論題
8.(12 points)Find the absolute maximum and minimum values of f(x, y) = 2 + 2x + 2y - x² - y² on the triangular plate in the first quadrant bounded by lines x = 0, y = 0, y = 9 - x.
#512507
(a)
#512508
(b)
#512509
2. (8 points) Find an equation of the tangent line to the graph of x sin 2y = y cos 2x at the point.
#512510
(b)
#512512
4. (8 points) Let . Find (f-1)'(0).
#512513
5. (12 points) Consider the function given by f(x) = Find the interval of convergence for f(x).
#512514
6. (12 points) Find all local maxima, local minima, and saddle points of the function f(x, y) = 2x3 + 3xy + 2y3.
#512515
7. (12 points) Evaluate the double integral dA where R is the square with vertices (0,1), (1,0), (2,1), (1,2).
#512516
(a) (6 points) Compute fx(0,0) and fy(0,0).
#512517
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