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Convert 0.22222222... (recurring) into a fraction

x=0.22222222...10x= 2.222222...10x-x=9x=2x=2/9=0.2222222...
x=2/9

RG
Answered by Rachel G. Maths tutor
8024 Views

Integrate tan(x) wrt x

Use substitutionlet u = cos(x)du = - sin(x)dxint(tan(x)) dx = int(sinx/cosx) dx = - int(1/u) du = - ln(u) + c= ln(secx) + c

MH
3623 Views

Solve the equation log2(x + 3) + log2(x - 3) = 4

log2(x + 3) + log2(x - 3) = 4log2 [(x + 3)(x - 3)] = 4x^2 - 9 = 16x^2 = 25x = 5

Answered by Maths tutor
3499 Views

Find a vector that is normal to lines L1 and L2 and passes through their common point of intersection where L1 is the line r = (3,1,1) + u(1,-2,-1) and L2 is the line r = (0,-2,3) + v(-5,1,4) where u and v are scalar values.

We will use the cross product of these two vectors to help us find the perpendicular vector. The cross product works by finding a vector which has no effect on the position of a point with respect the the...

AR
2464 Views

What is a gene?

A gene is a small section of DNA which codes for a single protein. DNA is made up of a linear sequence of nucleic acids, which may be either A, T, C or G. Three nucleic acids make up a code for one amino ...

RA
Answered by Rosie A. Biology tutor
2654 Views

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