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Integrate natural Log x

Take the integral as 1 x ln(x) instead of just ln(x). Use integration by parts giving two terms, the first is now just xln(x) and the second is the integral of 1 dx. This is easy to integrate giving the fina...
LK
Answered by Lewis K. • Maths tutor
3409 Views

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
3702 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
3809 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
8293 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
5023 Views