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Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Question 9, Chapter 13C of Year 11 Maths 3U Cambridge. $Differentiate {xe^x}$. $ Hence find$: \int_0^{2} { xe^x } dx } I found the first part being dy/dx=(x+1)e^x but the I have no idea how to do the integration from there :/

Chapter 10 Set J of the Year 11 Ext 1 Book.

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Thank you.

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Question 14b, Chapter 13A of Year 11 Maths 3U Cambridge. - Show that both functions are solutions of the differential equation y'' − y = 0. Functions are coshx=(e^x+e^-x)/2 and sinhx=(e^x-e^-x)/2.

Re: HSC 2016 3U Marathon $A rectangle is inscribed in an isosceles triangle with one of the sides of the rectangle on the base of the triangle. Prove that the rectangle of greatest area occupies half the area of the triangle.$

Re: HSC 2016 3U Marathon http://i.imgur.com/E5LTyoI.jpg

Thank you!

Thank you!

It is actually (m+n)(m+n-1)(m+n-2). TY

The actual question is proving: (m+n)C3=mC3+mC2nC1+mC1nC2+nC3. Combinations :/

Is there a way to factorise: m^3 -3m^2 +2m +3m^2n-3mn+3mn^2-3mn+n^3-3n^2+2n into: (m+n)(m+n-1)(m+n-2)? Thx in advance.