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Qualification => Subject Doubts => GCE AS & A2 Level => Math => Topic started by: jmarc on May 14, 2010, 10:40:44 pm

Title: a-level math paper2 help!!
Post by: jmarc on May 14, 2010, 10:40:44 pm

the parametric equations of a curve are:
            x=3t^2+1      y=6t

(i) obtain an expression, in terms of t, for the gradient of the curve and find the equation of the normal to the curve at the point with parameter 1/2

(ii)find the coordinates of the points of intersection of the curve and the straight line whose parametric equations are :
        x=T+5               y=2T-4

(b) the parametric equations of a curve are:
                      x=2cosz+ sinz,             y=cosz - 2sinz

write down expressions for 2x+y and x-2y in terms of z, hence determine the cartesian equation of the curve in its simplest form.

plzzzzzzz help asap


and to solve
   2^x=3^x-2



plzzzz help

Title: Re: a-level math paper2 help!!
Post by: astarmathsandphysics on May 14, 2010, 10:41:25 pm

I am on it

Title: Re: a-level math paper2 help!!
Post by: astarmathsandphysics on May 14, 2010, 10:53:41 pm

here

Title: Re: a-level math paper2 help!!
Post by: jmarc on May 14, 2010, 11:29:30 pm

wayzzzzzzzzzzzzzzzzzzzz Thanks alot ur like a flikin genius man!!!! Thanks agn !!!

Title: Re: a-level math paper2 help!!
Post by: astarmathsandphysics on May 14, 2010, 11:30:59 pm

Do you mean 2^x=3^x-2 or 2^x=3^(x-2)

both attachmrnts in my last post download. Can you download them both?

Title: Re: a-level math paper2 help!!
Post by: jmarc on May 15, 2010, 06:39:06 pm

Never mind I got them lolz Thanks agn and yh  the second one

Title: Re: a-level math paper2 help!!
Post by: astarmathsandphysics on May 15, 2010, 06:58:50 pm

2^x=3^(x-2)
log noth sides
x log2=(x-2)log3
xlog2=xlog3-2log3
x(log2 -log3)=-2log3
x=-2log3/(log2 -log3)