[考古] 東吳-99
又來麻煩各位幫我看答案了>_<
1.
4 3
∫sec (3x) tan (3x) dx
my answer is
1 1 6 1 4
----- (-----tan (3x) + -----tan (3x)) +c
3 6 4
2.
2
1 x t
lim ------ ( ∫ ----------- dt)
x→ 0 3 0 4
x t + 1
my answer is 1/3
3.
Find the radius of convergence and the interval of convergence of the power
series.
n n
∞ (-1) 2 n
Σ ------------ x
n =0 _______
√n + 1
my answer is
the radius of convergence is |2x|<1 ,
↑
請問收斂半徑這樣表示可以嗎？
and the interval of convergence is (-1/2, 1/2]
4.
Find the quation for the tangent line to the curve:
3 3
x + y -9xy = 0 at the point(2,4)
my answer is y-4 = 4/5(x-2)
6.
1 1
lim ( ----- － ---------- )
+ x e^x -1
x→ 0
my answer is 1/2
總覺得我來版上問的題目好像都還滿基本的XD
不過對自己的答案真的不是很有信心：＄
啊先謝謝各位：）
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◆ From: 218.166.121.224
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5.
________
2 √2x-(x^2) __________
∫ ∫ √ x^2 +y^2 dydx
0 0
這題在算的時候就沒有很確定
令x=rcos(theta), y=rsin(theta)，|J|= r
上下限的話，我的r變成0積到2
theta的話我不太會找老實說Orz
可以請各位高手幫忙指教一下嗎，真的超感謝的>_<
※ 編輯: nosignal90 來自: 61.231.145.69 (06/15 21:30)
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