Search over 10,000 free study notes

Proof by induction is a type of proof in which one tries to proof a statement is valid for any arbitrary number of n by first proving for k and then trying to further extrapolate this into a valid stateme...

As this is not in the common form and is HomogeneousStudents should be confident to understand what differentiation does.Using the quotient rule as well as implicit differentiation we look at each part of...

x(x+1) - x(x-1)/(x-1)(x+1)x²+x-x²+x/(x-1)(x+1)2x/x²+x-x-12x/(x²-1)

First differentiate the equation: dy/dx = 6x^2 - 6xSet this equal to 0 as at turning points the change in gradient is 0: 0 = 6x^2 - 6x6x(x-1)=06x=0 therefore x=0(x-1)=0 therefore x=1x=1,0Now substitute ba...

13y - 5 = 9y + 27 First we must collect all similar terms together on either side of the equation: 13y - 9y = 27 + 5. As you can see, if a term is moved to the other side of the equation, the opposite sig...