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研究所、轉學考(插大)-微積分
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104年 - 104 國立臺北大學學士班暨進修學士班轉學生招生考試試題_資訊工程學士、通訊工程學系：微積分#116800
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題組內容
4. (20%)Please evaluate the integrals:
(b)
其他申論題
2.(20%) The Cobb-Douglas Model for the production function is P=bLaK1-a , where b and a are positive constants and a ＜1. We want to maximize the production Pwith the constraint that mL+nK =q, where m, n and q are positive constants. Show that the maximum production occurs when
#499104
(a) Find the power series for f(x).(10%)
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(b) Use part (a) to derive f(10)(0).(10%)
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(a)
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(c)
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(d)
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5. (20%)Please sketch the curve y = . (You must describe the domain, intercepts, symmetry, asymptotes, interval of increasing or decreasing, local maximum and minimum values, and concavity and points of inflection.)
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6.(5%)Prove using the ε,δ definition of a limit.
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7. (5%)Find if ycosx = 1 + sin(xy).
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1.Find the tangent line to function y=3x2 -5x+2 at x=2 . Express your answer in the form y=mx+b with slope m and y-intercept b._________.
#499114
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