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研究所、轉學考(插大)-微積分
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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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4. Find g'
, where g(x) is the inverse of f(x) =
. Answer :___________
其他申論題
3. Find the maximum value of dy, where C is any circle in the xy-plane, oriented counterclockwise.
#482792
1. How many critical points does the function f(x) =|x2 - 1|have? Answer :________
#482793
2.If = 1, then a-b=? Answer :_________
#482794
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 :__________
#482795
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
1Find any extrema of the function subject to the constraint x2 + y2≤ 1.
#482801
2. For the function show that fx(0,0) and fy(0,0) both exist, but that f is not differentiable at (0, 0).
#482802
, where g(x) is the inverse of f(x) = 
. Answer :___________
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, where g(x) is the inverse of f(x) = . Answer :___________