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Solve the equations x^2+y^2=13 and x-2y=1 simultaneously.

Rearranging the second equation gives x=2y+1. Substituting this into equation 1 gives (2y+1) 2 +y 2 =13.Rearrangingthis and factorising the quadratic equation gives (5y-6)(y+2)=0, givingsolutions of y=6/5 an...
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Answered by Phoebe S. • Maths tutor
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Find the integral of 3x-x^(3/2)

3/2x 2 -2/5x 5/2 +C
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Answered by Henry N. • Maths tutor
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Integrate tan(x)^2 with respect to x

sin(x)2 + cos(x)2 = 1 divide by cos(x)2 tan(x)2 + 1 = sec(x)2 therefore tan(x)2 = sec(x)2 - 1 integral of sec(x)2 - 1 rwt x = tan(x) - x + C therefore the integral of tan(x)2 rwt x = tan(x) - x + C
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Answered by Osman O. • Maths tutor
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Where and why do we plot points on cumulative frequency graphs?

At the end of each group. Say you have a table of groups and frequencies corresponding to those groups, for example for x we have group 0<x<=5 with frequency 6 and group 5<x<=15 with frequency 10...
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Answered by Osman O. • Maths tutor
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How to differentiate a bracket raised to a power i.e. chain rule

Lets say the equation to be differentiated takes the following format y = (ax 2 +bx+c) n , to find dy/dx: (1) Make u equal the contents of the bracket, u=ax 2 +bx+c. (2) Substitute the contents of the bracke...
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Answered by David F. • Maths tutor
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