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MATHS.M 好blur~~
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你好~~
这是term1学弟的问题:
Chapter5: INTEGRATION的area under a curve,如果要sketch the graph请问要怎样画??
问题:
Calculate the area enclosed by the boundaries.
y=10-x^2 and y=x^2+2 |
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发表于 23-7-2013 08:12 PM
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你已经知道x^2的graph(U parabola shape), x^2 + 2, 就是y-axis的2为vertex(intersect at 2). [原本是从0, 现在y-axis上2格, 相信你在Chapter 1已经学习如何sketch graph...
10 - x^2 = -x^2 + 10, -x^2是(N parabola shape)
Let y=0,
-x^2 + 10 =0
-x^2 = -10
x^2 = 10
x = √(10) & -√(10) (intersecting x-axis)
Let x=0,
-(0)^2 + 10 = 10 (intersecting y-axis)
就自己试下Sketching graph吧...

本帖最后由 ystiang 于 23-7-2013 08:15 PM 编辑
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楼主 |
发表于 23-7-2013 09:07 PM
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ystiang 发表于 23-7-2013 08:12 PM 
你已经知道x^2的graph(U parabola shape), x^2 + 2, 就是y-axis的2为vertex(intersect at 2). [原本是从0, ...
谢了~~
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楼主 |
发表于 24-7-2013 08:51 PM
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Sketch the curve y=e^x and y=e^-x for -2≤x≤2. The interior of a wine glass is formed by revolving the curve y=e^x from x=0 to x=2 about the y-axis.Find the volume....
i stunned with this question...help!!! |
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发表于 25-7-2013 04:14 PM
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49woS 发表于 24-7-2013 08:51 PM 
Sketch the curve y=e^x and y=e^-x for -2≤x≤2. The interior of a wine glass is formed by revolving ...
会画 y=e^x的graf吗?
http://www.wolframalpha.com/ 这个网站很棒哦。直接把equation放下去,就会sketch 了
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楼主 |
发表于 25-7-2013 04:43 PM
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尚杰 发表于 25-7-2013 04:14 PM 
会画 y=e^x的graf吗?
http://www.wolframalpha.com/ 这个网站很棒哦。直接把equation放下去,就会sketc ...
谢谢你哦~~
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楼主 |
发表于 25-7-2013 05:00 PM
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楼主 |
发表于 30-7-2013 07:15 PM
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how to SOLVE THIS DIFFERENTIAL EQUATION ><
(1+x^2)dy/dx + xy = x + x^2
T~T i can't do... |
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发表于 31-7-2013 12:21 AM
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49woS 发表于 30-7-2013 07:15 PM 
how to SOLVE THIS DIFFERENTIAL EQUATION ><
(1+x^2)dy/dx + xy = x + x^2
使用Integrating factor...
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