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Mathematics: Post your doubts here!

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Hi guys I need help in solving q9 part i. Thankyou in advance
 

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Hi can anyone help me to understand no 2, I didn't get how to find out summations of x squaredIMG_20151014_124124_687.JPG I need to understand it ASAP as I have exam the day after tomorrow pls someone help.....
 
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Hi can anyone help me to understand no 2, I didn't get how to find out summations of x squared
img_20151014_124124_687-jpg.57224
I need to understand it ASAP as I have exam the day after tomorrow pls someone help.....

Here is the solution for this question. By the way ,I am also sitting for the same paper. Good luck

20151014_172056.jpg
 
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Hi guys I need help in solving q9 part i. Thankyou in advance
d/dx((1-x)/(1+x)) = -2 / (1+x)^2
Let u = (1-x)/(1+x)
d/dx(√u) = u' / 2√u = [ -2 / (1+x)^2 ] / [ 2 * √((1-x)/(1+x)) ]
= -1 / [ (1+x)^2 * √((1-x)/(1+x)) ]

Now the gradient of the normal is the negative reciprocal of the gradient of tangent:

(1+x)^2 * √((1-x)/(1+x))
= (1+x)^2 * (1-x)^1/2 * (1+x)^-1/2
= (1+x)^3/2 * (1-x)^1/2
= (1+x)^1 * (1+x)^1/2 * (1-x)^1/2
=(1+x)^1 * [(1+x)(1-x)]^1/2
= (1+x) * (1-x^2)^1/2
 
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Hello friends I do have S 1 exam tomorrow would anyone pls share their experiences, what should I do go through over now for last time preparation........
 
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Help please?
Nov 2013 P 32
View attachment 57231
2 * |3^x - 1| = 3^x

Square both sides to get rid of modulus (cuz its ugly)

4*(3^2x - 2* 3^x + 1) = 3^2x
Expand bracket:
4•3^2x - 8•3^x + 4 = 3^2x
Move terms:
3•3^2x - 8•3^x + 4 = 0
Make u=3^x :
3u^2 - 8u + 4 = 0
Factorise:
3u^2 - 6u - 2u + 4 = 0
3u(u-2) -2(u-2) = 0
(3u-2)(u-2) = 0
u=2, u=2/3
3^x = 2, 3^x = 2/3
x = lg2/lg3 , x=lg(2/3) / lg3
sorry don't have a calculator :(
 
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Yeah

Here is the solution. Hopefully it is right.
[Give a man a fish and you feed him for a day; teach a man to fish and you feed him for a lifetime.
][Maimonides];)
View attachment 57232[/QUOTE] Thanks bro for the solution .. but in 7 (ii) it doesnot match with the mark scheme answer
 
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J12 P6 Q1 , how to solve this?? Please tell me if there is any online website that can help me out with this type of question. My teacher never taught me this
 
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