Qualification > Math

C3 and C4 DOUBTS HERE!!!

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T.Q:

--- Quote from: Meticulous on June 15, 2010, 03:42:00 pm ---Is it (x2 -1 )3/2 ..?

--- End quote ---

yes it is

S.M.A.T:

--- Quote from: T.Q on June 15, 2010, 02:14:19 pm ---i need help in this

Use the substitution and integration to find the value of






giving your answer to 3 decimal places


the answer in MS is

--- End quote ---


THE SOLUTION IS IN THE LINK BELOW

T.Q:
thanx asiftasfiq93

+rep

M-H:
i want to know how to solve these kind of Qs:
Eg.
Q: The functions l(x), m(x), n(x) and p(x) are defined by l(x)=2x+1, m(x)=x^2 -1, n(x)=1/(x+5) and p)x)=x^3.
Find in terms of l,m,n and p the functions:
a) 4x(^2) +4x.

I need a logical way, or atleast a way which can be used for solving all Qs of this type!!! Please help!

Thanks a million in advance!!

S.M.A.T:
 4x(^2) +4x
=4((x^2)+x)
=4(((x+0.5)^2)-(0.5)^2)
=4((x+0.5)^2)-1
=4(((2x+1)^2)/4)-1
=((2x+1)^2)-1
=l^2(x)-1
=ml(x)

When the equation is quadratic, always convert it to complete square form ,then simply the equation and write in terms of l(x),m(x),....etc.

If the quadratic equation is already written in complete square form,then all you have to do is write in terms of l(x),m(x),....etc.

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