Top answers

The polynomial f(x) is define by f(x) = 3x^3 + 2x^2 - 8x + 4. Evaluate f(2).

f(x) = 3x^3 + 2x^2 - 8x + 4 f(2) = 3(2)^3 + 2(2)^2 - 8(2) + 4 f(2) = 3(8) + 2(4) - 8(2) + 4 f(2) = 24 + 8 - 16 +4 f(2) = 20
SW
Answered by Sophie W. • Maths tutor
4413 Views

If y = 2/3 x^3 + x^2; a) What is dy/dx? b) Where are the turning points? c) What are the nature of the turning points?

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 th...
AF
Answered by Annabel F. • Maths tutor
4967 Views

Integrate x*sin(x) with respect to x.

We integrate by parts: u=x u'=1; v'=sin(x) v=-cos(x) integral(x sin(x)dx) = -x cos(x) + integral(cos(x)dx) = -x*cos(x) + sin(x) + C where C is a constant.
JR
Answered by James R. • Maths tutor
14780 Views

How do I do binomial expansions for positive integer n?

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 the...
DR
Answered by Daniel R. • Maths tutor
3999 Views

How do I work out what integration method I should use to solve an integral?

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 art, for ...
LC
Answered by Luigi C. • Maths tutor
12578 Views