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Maths
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Locate the position and the nature of any turning points in the function: 2x^3 - 9x^2 +12x

I would first ask the student to draw a cubic graph(preferably the function in asking depending on the student's capability). I would then ask the student to show me where the stationary points in the gra...

EI
Answered by Ewa I. Maths tutor
6520 Views

Solve the simultaneous equations 3x+2y=4 and 4x+5y=17 for x and y

Rearrange one of the equations to get x equals an equation in terms of y.3x+2y=4Take 2y away from both sides3x=4-2yDivide both sides by 3x=(4-2y)/3Substitute this into the other equation in place of x4((4...

JC
Answered by Jack C. Maths tutor
7231 Views

Simplify 3log(x^2)+4log(y^3)

Using rules of logarithms: 3log(x^2)+4log(y^3)=log((x^2)^3)+log((y^3)^4) =log(x^6)+log(y^12) =log((x^6)(y^12)

AC
Answered by Alexander C. Maths tutor
4354 Views

Solve the equation (6/x-2)-(6/x+1) =1

1 - Multiply each part of equation by denominators to multiply out the fractions. {(6(x-2))/x-2} - {(6(x-2))/x+1} = 1(x-2). This would simply to 6 - {(6(x-2))/x+1} = x - 2. We then do the same for the oth...

AK
Answered by Aman K. Maths tutor
9570 Views

A is the point with coordinates (2,7) and B is the point with coordinates (8,10). Find the coordinates of the midpoint of AB.

1 - Draw a sketch graph of where the points would be to help visualise the midpoint. 2 - Work out the midpoint for each axis. For example, for x, it would be (0.5*(2+8)) = 5 and for y, it would be (0.5*(7...

AK
Answered by Aman K. Maths tutor
5382 Views

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