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Mathematics: Post your doubts here!

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just find the dy/dx of the eq. it will be as follows:
9x^2 -12x + 4 = dy/dx
now use completing square .

it will be like

3(3x -2 )^2 -4 + 4 = y this resembles the eq. of curve i.e y = mx + C


here m = (3x - 2)^2 having squre on it proves that it can never be negative :) I am not sure that I have explained good enough but it is somehow this way.
 
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I remember doing this question, and getting it wrong lol. Convergent means like the GP is going to a number but it never actually gets to that number, like you know when r of the GP is less than 1 and you have to find the sum to infinity, thats the number that it approaches but it will never get to that number! So basically you will say ((Second Term of GP)/(First Term of GP)) < 1 . Then you solve that equation that you get...
Now I'm clear. Thanks a ton buddy ! :)
 
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Your working is right, but the Number of terms between 7 & 13 should be 7, not 6. If you use that the sum = 203 which i think is correct


Are you sure, i doubt it. Like even if you do it without using a formula (getting all the terms up to 13 and then adding from the 7th to the 13th) you won't get that answer :/
Yes it is and I hv solved it also
 
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Can any one explain to me how to get set of values as k < -√(48) and k > √(48) while solving k > +- √(48) type question. When are we supposed to use the < sign and when > sign ?
 
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can anyone differentiate ths xy(x+y) plzz???
Ok man, u hav 2 use the UV method 4r this and differentiate in terms of x.
xy(x+y)= (x^2).y+x(y^2) ( now differentiate this using UV method)

d((x^2).y+x(y^2))= x^2.1(dy/dx)+y.2x+ x.2y(dy/dx)+ y^2.1

therefore ur answer is:

x^2(dy/dx)+2xy+2xy(dy/dx)+y^2.

Hope it is the correct answer. Check it up.

Cheers mate
 
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d=-3-(-7)=4
7th term = a+(7-1)d=
=-7+(6*4)
=17
30th term=a+(30-1)d
=-7+(29)(4)
=109

Now a=17 and l=109

n=30-6=24
Sn=n/2(a+l)
Sn=24/2(17+109)
Sn=1512

Ohhh, my bad!! I thought you said 13th instead of 30th, i guess i read it wrong in your original post :p Yeah, you are right! :)
 
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Hey everyone,
Does any one have a copy of the formula sheet which is given in maths??
thanks
 
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