作者dreamenjoy (今天也很爽)
看板Math
標題[微積] 幾題~~~~麻煩
時間Thu Jun 16 18:25:29 2011
1.
2 √4-y^2 √4-x^2-y^2
∫ ∫ ∫ z√x^2+y^2+z^2 dzdxdy
0 0 0
π/2 π/2 2
= ∫ ∫ ∫ 為何積分範圍改這樣呢???
0 0 0
2.
Find dy/dx if x^y-y^x=0
3.
2 x^3
∫---------- dx
0 (2+x^2)^3
4.
Analyze and sketch the graph of the function f(x)=x^3(x+5)^2
5.
Find equations for the lines tangent to the ellipse 4x^2+y^2=72
that are perpendicular to the line x+2y+3=0
6. 1
---
x
Find the value of a if lim(√1+ax-√1-ax) =e
x→∞
7.
a>0 Find the length of the path trace out by
x(θ)=3acosθ+acos3θ
y(θ)=3asinθ-asin3θ as θ reanges from 0 to 2π.
8.
x^2+y^2=1
x^2+y^2=5
∫∫(x^2+2y)dA
R
∞ n -x
9.∫ x e dx=n! Prove that
0
滿多題的~~麻煩各位了
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※ 編輯: dreamenjoy 來自: 122.118.11.17 (06/16 22:23)