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Solve the inequality |4x-3|<|2x+1|.

There are two ways to solve this problem. The easiest way is graphically, but that requires little explanation and I am not sure how to show graphs on here so I will explain it algebraically.Because both sid...
NH
Answered by Nathanael H. • Maths tutor
9338 Views

Use the substitution u=2+ln(t) to find the exact value of the antiderivative of 1/(t(2+ln(t))^2)dt between e and 1.

The first step is to differentiate the substitution.Because u=2+ln(t) we can differentiate to get du=(1/t) dt which can be rearranged to dt=t du.Once we have this we can start on the actual expression. We st...
NH
Answered by Nathanael H. • Maths tutor
6567 Views

The equation of a line is y=e(^2x)-9 and the line has points at (0,a) and (b,0). Find the values of a and b.

y=e 2x -9. When x=0 y=a.a=e 2(0) -9a=1-9=-8. When x=b y=0.0=e 2(b) -99=e 2b ln(9)=ln(e 2b )ln(9)=2b(1/2)ln(9)=bln(9 (1/2) )=bb=ln3
CJ
Answered by Callum J. • Maths tutor
3703 Views

Solve the equation sec^2 x+ 2tan x = 0, 0 ≤ x ≤ 2π. IB May 2017 Exam

sec^2 x+ 2tan x = 0 use the fact that sec^2 x= tan^2 x +1 tan^2 x + 2tan x + 1 =0 (tan x +1)^2 = 0 tan x = - 1 x=3π/4, x= 7π/4
MP
Answered by Michal P. • Maths tutor
2729 Views

A circle, C, has an equation: x^2 + y^2 - 4x + 10y = 7 . Find the centre of the circle and its radius?

The equation given needs to be transformed into a more familiar equation of a circle which we know the properties of and are therefore able to find its centre. Do you know what type of equation im speaking o...
AA
Answered by Alex A. • Maths tutor
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