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What is the volume of the solid of revolution generated by revolving R about the x-axis?
Let f(x) = e^(-3x/2)
Let R be the region between the graph of f and the x-axis on the interval 0 < x < 1. Find the volume V of the solid of revolution generated by revolving R about the x-axis.
I’ve been trying all night to figure this problem out with no luck at all. Please help!
Use the method of disks.
Draw the region R and a typical disk. This disk has a radius of [e^(-3x/2) - 0] and a thickness of dx. It contribues an increment of volume dV given by
dV = πr²dx = π(e^(-3x/2))² dx
= π e^(-3x) dx
The total volume V is given by
1
∫ π e^(-3x) dx
0
October 22nd, 2009
Posted by admin in x | 1 Comment »
What’s the difference between x-intercept form and y intercept form?
I’ve been told the basic rule for y-intercept is ‘ y=ax^2+bx+c ‘ and x-intercept is y=c(x-a)(x-b) but can you elaborate on it? Such as explaining how to spot each one and the differences.
The x-intercept form is the points that lie on the horizontal line and the y-intercept are the poitns that lie on the vertical line.
October 18th, 2009
Posted by admin in x | 1 Comment »
What’s the difference between x-intercept form and y intercept form?
I’ve been told the basic rule for y-intercept is ‘ y=ax^2+bx+c ‘ and x-intercept is y=c(x-a)(x-b) but can you elaborate on it? Such as explaining how to spot each one and the differences.
The x-intercept form is the points that lie on the horizontal line and the y-intercept are the poitns that lie on the vertical line.
October 18th, 2009
Posted by admin in x | 1 Comment »
How to determine value of X when adding log with different bases?
log(base 16) x + log (base 4) x + log (base 2) x = 7
How do you solve it?
Well the answer is 16, but I want to know the solution.
Thank you.
ln(x)/ln(16)+ln(x)/ln(4)+ln(x)/ln(2)=7
ln(x)(1/ln(16)+1/ln(4)+1/ln(2))=7
ln(x)=7/(1/ln(16)+1/ln(4)+1/ln(2))
x=e^(7/(1/ln(16)+1/ln(4)+1/ln(2)))
Here, it helps to know that ln(16)=4ln(2) and ln(4)=2ln(2).
Remember, ln(a^b)=b*ln(a).
x=e^(7/(1/(4ln2)+1/(2ln2)+1/ln2))
x=e^(7/(7/(4ln2)))
x=e^(28ln2/7)
x=e^(4ln2)
x=e^(ln(2^4))
x=e^ln16
x=16
October 16th, 2009
Posted by admin in x | 1 Comment »
How dangerous to health is the powerful X Ray scanner at Manchester airport?
I have noticed that people who give you an X Ray always hide behind a lead screen themselves.
Is this one the equivalent of being X Rayed 50 times in one go?
Never mind seeing my bum, what about my health, you bums?
It is well within the permitted limits and don’t forget you are fully dressed. One thing i’ve just thought of though - pregnant women - their babies will also be viewable and that might be a problem in a couple of ways.
October 14th, 2009
Posted by admin in x | 13 Comments »
How to I resize a photo to get 600 x 600 pixels exactly?
I need to submit my photo for DV2011 visa lottery and they need it to be 600 x 600 pixels exactly. I’ve tried so many kinds of photo shopping but they automatically correct it to 450 x 600. Thanks!
Try this software: http://www.imageconverterplus.com/. They have lots of resize options, and I believe you yourself can point out the exact resize parameters. It is also quite easy to use as soon as you download it. Here is more information about that. http://imageconverterplus.com/help-center/work-with-icp/examples/recomendation/image-resizer/
October 12th, 2009
Posted by admin in x | 4 Comments »
How to I resize a photo to get 600 x 600 pixels exactly?
I need to submit my photo for DV2011 visa lottery and they need it to be 600 x 600 pixels exactly. I’ve tried so many kinds of photo shopping but they automatically correct it to 450 x 600. Thanks!
Try this software: http://www.imageconverterplus.com/. They have lots of resize options, and I believe you yourself can point out the exact resize parameters. It is also quite easy to use as soon as you download it. Here is more information about that. http://imageconverterplus.com/help-center/work-with-icp/examples/recomendation/image-resizer/
October 12th, 2009
Posted by admin in x | 4 Comments »
How do you rearrange to make x the subject in a quadratic equation?
Like (x-3)(2x+4)=y HOW do you rearrange to make x the subject here?
I’d like to get to know how to do this for ALL quadratics.. Are there any sites for doing it?
there is no such kind of rearranging that can do that. However, if you want the roots; you can use the quadratic formula.
October 10th, 2009
Posted by admin in x | 1 Comment »
How do you rearrange to make x the subject in a quadratic equation?
Like (x-3)(2x+4)=y HOW do you rearrange to make x the subject here?
I’d like to get to know how to do this for ALL quadratics.. Are there any sites for doing it?
there is no such kind of rearranging that can do that. However, if you want the roots; you can use the quadratic formula.
October 10th, 2009
Posted by admin in x | 1 Comment »
How does Generation X feel in its work environment in relation to Baby Boomers?
Generation X has been qualified by the Baby Boomer generation as "slackers", a generation with no vision that defies authority and has nothing better to do than hang out in coffee shops and smoke cigarettes. I would like to know how Generation X (1961 to 1980) views itself in regard to its actual contribution and position in the workforce.
The US Census Bureau defines the Boomer generation as ending December 31, 1964. I only know this because I missed the deadline by seven months. Since I’m considered Gen X, I have to work two years longer before I am eligible to retire. Not that I expect to receive any benefits from SS or Medicare. I don’t. The oldest Boomers are about 63 right now. We already know the our SS and Medicare programs are going to go broke in the next decade. It irks me that the government has forced me to contribute to these programs for decades knowing that the benefits will be extremely small or non-existent.
On the other hand, most of my friends are in the Boomer generation. They aren’t planning to retire soon. As long as they stay in the workforce, there will be fewer jobs and fewer opportunities to advance. I don’t believe in forced retirement though since that would be infringing on their freedom to work if they choose. By the time the Boomers leave the workforce, I will be too old for it to matter.
I don’t know who is saying those things about Gen X but they are untrue. Especially the part about smoking cigarettes. The percentage of smokers has dropped every year since the 70’s (which is before some Gen Xers were born).
I think that we will always be in the shadow of the Boomers. Especially people like me who are right on the border. We have made contributions to society and the business world but not as many as the Boomers due to far fewer numbers in our generation. I can understand why someone might see "some" Gen Xers as slackers. If for no other reason, because the age when a Gen Xer leaves home and becomes independent is much older than when the average boomer took on those responsibilities. But this is a societal trend and Gen Y is becoming independent even later than Gen X.
This is just my two cents. I’m sure if you were to get an answer from someone born at the other end of the Gen X generation it would be a very different perspective than mine.
October 6th, 2009
Posted by admin in x | 3 Comments »