Top answers

Let p(x) = 30 x^3 -7 x^2 - 7 x + 2. Prove that (2x + 1) is a factor of p(x) and factorise p(x) completely.

Using the Factor Theorem , we know that (2x + 1) = 2(x + 1/2) = 2(x - (-1/2) ) is a factor of p(x) if and only if p(-1/2) = 0 , which is true. Now that we know a factor of p(x), we use the polynomial divisio...
Answered by • Maths tutor
4927 Views

proof for the derivative of sin(x) is cos(x) (5 marks)

let f(x)=sin x f'(x) lim h-> 0 = ( sin(x+h) - sin(x))/h. f'(x) lim h-> 0 =( sin(x)cos(h) + cos(x)sin(h) - sin(x))/ h. f'(x) lim h-> 0=(sin(x)(cos(h)-1)/h + cos(x) (sin(h))/h. then as h tends to zero...
NP
Answered by Nicola P. • Maths tutor
4684 Views

Find the total area enclosed between y = x^3 - x, the x axis and the lines x = 1 and x= -1 . (Why do i get 0 as an answer?)

Our first step should always be to make sure we understand what the question actually wants from us, in the case of most polynomial questions a rough sketch with any information we know is very useful. Find ...
GB
Answered by George B. • Maths tutor
3485 Views

How do you find the gradient of a line?

There are 2 methods used for finding the gradient of a line in 2D space, depending on whether it is a straight line or a curve. To find the gradient a straight line you must first take the equation of the li...
Answered by • Maths tutor
8017 Views

Let f(x)= x^3 -9x^2 -81x + 12. Calculate f'(x) and f''(x). Use f'(x) to calculate the x-values of the stationary points of this function.

To answer this question we need to first decide what the question is asking for. In this case the question is asking for the first and second differential of a given function. If we have a function f(x) = x ...
JP
Answered by Jazz P. • Maths tutor
4047 Views