Top answers

solve; (6x - 2)/2 - (4x+7)/3 = 1-x

numerical answer x =-1/8 oe (or equivalent), but I am more interested in the method used My method simplify first fraction to 3x-1, multiply both sides by 3, collect like terms, divide through to get x on it...
RL
Answered by Ruth L. • Maths tutor
3766 Views

Why is |z| = 1 a circle of radius one? (FP2)

So, basically |z| = 1 is equal to the set containing all complex numbers where their magnitude is equal to one. Also, by unraveling the definition of |z| we get that (x 2 +y 2 ) 1/2 =1 which is the same as x...
CM
Answered by Charalambos M. • Maths tutor
3899 Views

There are N counters in a bag, 4 being red and the rest being blue. I take two counters at random from the bag (without replacing the first).The chance i take two blue counters is 1/3, See below in the answer box

Show that n^2-13n+30=0We note that 4/N denotes the probability of a me picking a red counter and (N-4)/N denotes the chance of me picking a blue counter.Since I select two counters and do not replace the fir...
RP
Answered by Roshan P. • Maths tutor
8355 Views

Find the gradient at x=1 for the curve y=2x*e^2x

The answer to this question is in two parts. We firstly must find the derivative of the function y=f(x) with respect to x, and then substitute the value of x given in the question to find the gradient at tha...
DD
Answered by Dominic D. • Maths tutor
5133 Views

Differentiate y=3xe^{3x^2}+2x

We differentiate y with respect to x:Firstly, we apply the Chain rule in the fist part of the RHS. Remembering the chain rule is uv -> u'v+uv', so d(3xe^{3x^2})/dx=3e^{3x^2}+18x^{2}e^{3x^2}now, we simply ...
JA
4233 Views