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Mathematics: Post your doubts here!

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ln ((x + 2) / x) = 2
(x + 2) / x = e^2
x+2= (e^2)*x
((e^2)*x)-x=2
x((e^2)-1) = 2
x = 2/ ((e^2)-1)
= 0.313

i think that is the only mistake. Rest is right. Thank u smzimran.
Yes, i did a little mistake, copied 2 in the denominator instead of x, rest is right!
minato112 has done the correct method, check it out!
:)
 
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:eek: That's a hard one!
Maybe it has to do with parametric equations, don't u think?
points lieing on a circle means the distance from the centre to these points will be same.
check that out prove that out.(y)
If the three points lie on the circumference of a circle there distances from the centre (2,0) must be same [RADIUS ]

Find the distance b/w (7,12) and (2,0)

Find the distance b/w (-3,-12) and (2,0)

Find the distance b/w (14,-5) and (2,0)

These three distances must be same!

tnx 4 ur help guys :) i solved it myself, smzimran yh they r all radius
 
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can anyone plzzz help me out with question 2 and question 3.....when i tried and did it.....my answer is nt matching with the textbook answers help
 
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Please could you sketch and explain them : 1) 4sin(3x) ,0 (<or =) x ( <or=) 360
2) 9-5cos(2x) , 0 (<or =) x ( <or=) 360
3) 3+4sin(2x) , 0 (<or =) x ( <or=) 180
4)Tan(2x) , 0 (<or =) x ( <or=) 180

Thanks alot ! :)
 
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Please could you sketch and explain them : 1) 4sin(3x) ,0 (<or =) x ( <or=) 360
2) 9-5cos(2x) , 0 (<or =) x ( <or=) 360
3) 3+4sin(2x) , 0 (<or =) x ( <or=) 180
4)Tan(2x) , 0 (<or =) x ( <or=) 180

Thanks alot ! :)

Aoa! Why don't you go to http://www.wolframalpha.com/ and check out the graphs for yourself? But if you're unsuccessful, your welcome back to carry this query forward! :)
 
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"Integration A2"

So there's this question on how to integrate cos^3 x. I did it by breaking it into cos^2 x and cos x, you know, the by-parts method. But i seem to be getting the wrong answer. Could anyone do it for me, so i could compare my working ?? Thankyou! :)
 
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"Integration A2"

So there's this question on how to integrate cos^3 x. I did it by breaking it into cos^2 x and cos x, you know, the by-parts method. But i seem to be getting the wrong answer. Could anyone do it for me, so i could compare my working ?? Thankyou! :)
AoA,
This is best done using substitution, and not by parts:
dfs.png
 
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"Integration A2"

So there's this question on how to integrate cos^3 x. I did it by breaking it into cos^2 x and cos x, you know, the by-parts method. But i seem to be getting the wrong answer. Could anyone do it for me, so i could compare my working ?? Thankyou! :)

cos^3 x
= (cos^2 x)(cos x)
= (1-sin^2 x)(cos x)
= cos x - (sin^2 x)(cos x)

after integration,
it become:
= -sin x - (1/3)(sin^3 x) + c
 
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