推 bineapple :2 泰勒展開 03/25 01:54
推 bineapple :5 用ln的泰勒展開 03/25 01:58
推 suhorng :第一題9/(x^4+9x^2)=9/x^2(x^2+9)=1/x^2 - 1/(x^2+9) 03/25 09:15
→ suhorng :所以(x+3)/(x^4+9x^2)=(x+3)/9x^2 - (x+3)/9(x^2+9) 03/25 09:15
1.
x+3
∫ --------dx
x^4+9x^2
我不知道這要怎拆項
2.
x -t^2 (11)
f(x)=∫e dt 求f (0)
0
3.設R={(x.y)=(x-1)^2+y^2<=1} 求∫∫√(x^2+y^2) dA
R
4.
區線R由曲線y=√x , 直線y=2及x=0所圍成
求此區域R對直線X=4旋轉所圍體積
我用層殼法
V=2π∫(2-√x)(x-4)dx
我不太了解為何是x-4不是4-x??
5.
Find the convergence set for the power series
n n
∞ (-1) (x-4)
Σ -------------- and also find its sum
n=0 n+1
這題我找出收斂區間3<x<=5
可是我不會求值
6.
Determine whether there are any points on the surface
z^2+xy-2x-y^2=1 at which the tangent plane is parallel to z=2
7.
4
∫√4+9x dx
0
8.
Find the area of cup cut from the sphere
x^2+y^2+z^2=2 by the cone z=√(x^2+y^2)
抱歉還滿多題的 因為做到累積到一定題目不懂才來發問
麻煩各位了。
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