作者four26 (426)
看板trans_math
标题[积分] 几题微积分题目求答案
时间Tue Jul 12 22:12:08 2011
小的即将要转学考了,无奈做完了练习题没有答案,所以在此向板上的高手们求答案
不需要计算过程~我只是想核对答案而已,感激不尽!!
1.How many points of inflection does the function f(x)=3x^5-10x^3+5 have?
2.On what interval is the graph of f(x)=(1-1/x)^2 concave downward?
3.Determine the largest interval on which the function f(x)=(x+1)/x is
concave upward.
4.If y=tanx, find f"(π/4)
5.Find the value of the limit lim (cosx-1)/2x
x→0
6.Find the value of the limit lim sin6t/sin4t
t→0
7.Find the derivative of f(x)=sin^2‧x
8.Find the derivative of f(x)=tanx/x^3
9.Find the derivative of f(x)=sin^3‧x
10.Find the derivative of f(x)=sin(x^3)
11.If f(x)=cos2x, find the value of f^(8)‧(0)
12.Let f(x)=x^3 on the interval [0, 2]. Let the interval be divided into two
equal subintervals. Find the value of the Riemann sum n * is the
midpoint of its subinterval. Σ (x )△x
i=1 i i
1
13.Find the value of the integral ∫(x+1)^2dx
0
8
14.Find the value of the integral ∫x^1/3dx
-1
1
15.Find the value of the integral∫1/(1+x^2)dx
0
π/4
16.Find the value of the integral∫sin^2xcosxdx
0
π/3
17.Find the value of the integral∫secxtanx(1+secx)dx
0
4
18.Find the value of the integral∫1/(1+x^1/2)^2(1/x^1/2)dx
1
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 180.177.216.25
1F：推 j0958322080:都很基本，请看课本 123.0.241.186 07/12 22:35
2F：推 john801127:楼上要这样干嘛回= = 220.136.16.147 07/12 22:36
3F：→ j0958322080:好吧那就推一下我算的答案，不保证对 123.0.241.186 07/12 22:45
4F：→ j0958322080:1.3, 4.4, 123.0.241.186 07/12 22:47
5F：→ j0958322080:7.2sinxcosx, 8.3(x^2)cos(x^3) 123.0.241.186 07/12 22:48
6F：→ j0958322080:8.[(x^3)sec^2-3(x^2)tanx]/x^6 123.0.241.186 07/12 22:49
7F：→ j0958322080:13.7/3, 14.45/4, 15.pi/4 123.0.241.186 07/12 22:52
8F：→ j0958322080:22:48的推文8-->9 123.0.241.186 07/12 22:53
9F：推 j0958322080:17.u=secx,du=secxtanxdx 123.0.241.186 07/12 22:57
※ four26:转录至看板 Math 07/13 02:38