[CIE] All Pure Mathematics (P1, P2 and P3) doubts here !

[thecandydoll]

The equation of a curve is x3 + 2y3 = 3xy.
 Find the coordinates of the point, other than the origin, where the curve has a tangent which is
parallel to the x-axis.   [5]

[elemis]

The equation of a curve is x3 + 2y3 = 3xy.
 Find the coordinates of the point, other than the origin, where the curve has a tangent which is
parallel to the x-axis.   [5]

Use implicit differentiation and equate to zero. Solve.

[thecandydoll]

The equation of a curve is xy(x + y) = 2a3, where a is a non-zero constant. Show that there is only one point on the curve at which the tangent is parallel to the x-axis, and find the coordinates of this point.

I dont get how to do this/

[thecandydoll]

May june 2008
Q8 I don't get this either.
Someshow me the workingg?

[elemis]

The equation of a curve is xy(x + y) = 2a3, where a is a non-zero constant. Show that there is only one point on the curve at which the tangent is parallel to the x-axis, and find the coordinates of this point.

I dont get how to do this/

You are told ' a'  is a non-zero constant. So, if you want, you can think of 2a³ as some number. When you differentiate a number like 10, for example, you simply get zero.

Hence :

x²y + xy² = 2a³

Use the product rule for the left hand side terms and simply differentiate 2a³ to get zero because, after all, its nothing but a number.

[thecandydoll]

The second part where you find co-ordinates.

[ihatephysics]

heyy! i have a vectors question! it would be awesome if someone could solve it for me!
i have attached the paper

[Nera_egypt]

heyy! i have a vectors question! it would be awesome if someone could solve it for me!
i have attached the paper

The answer is in the attachment. Hope it helps 

[........]

Hey guys what is the hardest past paper in P3 you have encountered ?

Looking at this year's P1 and M1 almost 70 percent of the questions came from 2001 to 2003 and some from 90s.

[elemis]

Hey guys what is the hardest past paper in P3 you have encountered ?

Looking at this year's P1 and M1 almost 70 percent of the questions came from 2001 to 2003 and some from 90s.

Integration.... not because its difficult but because its annoying.

[Nera_egypt]

I hate complex numbers especially the shading involved in argand diagram

[melony]

would anyone happen to be able to predict a paper similar to the upcoming P32? 
i cant find any pattern, what papers do you think i should practice?
this is my worst paper By the way 

[leebux101]

can someone PLEASE help me in MJ 2002 , question 10 part iv ) Please!!! =(

[elemis]

u=u²

dv/dx = e^u

Integration by parts :

u² - 2ue^u

Integrate 2ue^u using integration by parts.

You should get the correct answer.

[leebux101]

i cant get the answer becuase i know the logic but i dont know how to integrate it....anyway thanks for your help ari. =)