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106年 - 106 台灣聯合大學系統(清華、交通、陽明、中央四校聯招)學士班轉學生考試_A3、A4、A7:微積分#112636
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2.If
= 1, then a-b=? Answer :_________
其他申論題
a. (6分)
#482790
b. (6分)
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3. Find the maximum value of dy, where C is any circle in the xy-plane, oriented counterclockwise.
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1. How many critical points does the function f(x) =|x2 - 1|have? Answer :________
#482793
3. Suppose f" is continuous on [0,1], f(1) = 2, f'(1) = 2 and the average value of f on [0, 1] is 2. Evaluate dx. Answer :__________
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4. Find g', where g(x) is the inverse of f(x) = . Answer :___________
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5. Find the directional derivative of f(z,y) = at P0(1,1) in the direction of v= .Answer :__________
#482797
6. Evaluate dydx. Answer:_______
#482798
7. Let Rbe the solid inside x2 + y2+ z2 = 1, outside z = and above the xy-plane. Find the volume of R. Answer :___________
#482799
8. Evaluate the line integral dy, where C : boundary of the region lying between the graphs of the ellipse = 1 and the circle x2 + y2 = 1. Answer:_______
#482800