Top answers

Find ∫ x^2(ln(4x))dx

∫x 2 ln(4x)dx Firstly , identify this question as integration by parts. Therefore set one half as value 'u' and one as value 'dv'. Here we will set u = ln(4x). Therefore: du/dx = 1/4x . (4) du = 1/x dx We th...
SF
Answered by Sally F. • Maths tutor
12081 Views

How to solve simultaneous equations with two unknowns?

There are two methods for solving simultaneous equations, the algebraic method or graphic method. While using graphs is a useful visual way to solve simultaneous equations, this is more time consuming and sh...
EH
Answered by Emily H. • Maths tutor
24641 Views

When trying to solve inequalities (e.g. 1/(x+2)>x/(x-3)) I keep getting the wrong solutions even though my algebra is correct.

*The usual mistake with inequalities is not with a students algebra, but with lack of consideration of the inequality signs. During a tutorial I would show their false method and my correct one and also sket...
TH
Answered by Timothy H. • Maths tutor
4428 Views

Solve x^2 + 15x = - 50

x 2 + 15 x + 50 = 0 (rearrange by adding 50 to both sides) (x + 10)(x + 5) = 0 (factorise the quadratic equation) x + 10 = 0 or x + 5 = 0 (for the above to equal zero, at least one of the bracketed terms mus...
JS
Answered by Julia S. • Maths tutor
9757 Views

f(x) = 2x + c, g(x) = cx + 5, fg(x) = 6x + d. c and d are constants. Work out the value of d. 3 marks.

fg(x) = 2(cx+5) + c = 2cx+10+c [1 mark] fg(x) = 6x+d. fg(x) = 2cx+10+c 6x = 2cx and d = 10+c [2 marks] 3 = c and therefore d = 13 [3 marks]
HK
Answered by Heba K. • Maths tutor
22731 Views