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研究所、轉學考(插大)-微積分
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93年 - 93 中原大學_進修學士班招生考試_理工、化學、工學(進修部)群組二年級_應用數學系：微積分#124603
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8.
=_________
其他申論題
4. Let f(x)=, then =_________
#530010
5. Let y=mx+b be the equation for the line tangent to the graph of the equation x2y2=16 at the point (2, 2). Then m+b=_________
#530011
6. Let F be a function such that F(1)=10,F(3)=40 and F'(x)=ax4+bx2+c, where a, b, and c are constants. Then =_________
#530012
7. If y=, then =_________
#530013
9. The interval of convergence of the power series is _________
#530015
10.=_________
#530016
11.If f(x,y)=x³-3xy+4y² and , then the directional derivative =_________
#530017
12.The global minimum value of f(x,y)=2x²+3y²-4x+6 on the region R= is _________
#530018
1. If is a vector-valued function and let c be a constant. Show that if is differentiableon come interai I and if =0 for all t ∈ I be I then are orthognal for all t ∈ I .
#530019
2. Let f be differentiable on an open interval I. Use the mean value theorem to show that iff'(x)>0 for all real x in I, then f increases on I.
#530020
=_________
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