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a) By simple parametric differentiation of each term, dy/dx = 2x^2 + 2x b) The condition for a turning point is the gradient (dy/dx) at that point is zero. 0 = x(2x + 2) so either x=0 or 2x+2=0. Therefore...
We integrate by parts: u=x u'=1; v'=sin(x) v=-cos(x) integral(xsin(x)dx) = -xcos(x) + integral(cos(x)dx) = -x*cos(x) + sin(x) + C where C is a constant.
The general method for (a+b)^n is: 1)write out pascals triangle (see whiteboard) and stop at the nth row. Write this on a line. 2)write down the powers of a in ascending order (and simplify) 3)write down ...
A-Level Mathematics is about a wide range of topics, among which Integrating is key!
While differentiation is a technique, whereby a set of rules can be used to approach problems, integration is an...
(x-1/2)2 = (x-1/2)(x-1/2)=x2-x+1/4, add 7/4 to get x2-x+2 therefore x2-x+2 = (x-1/2)2 + 7/4
squared numbers always positive so (x-1/2)2PMAnswered by Pearse M. • Maths tutor11294 Views
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