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Solve simultaneous equations 3x+2y=9 5x-2y=7

Here we need to get rid of either the x or the y to find one solution to start us off. By adding these equations together we get: 3x+5x+2y-2y=9+7 The y's are eliminated to leave 8x=16. So x is 2! We can then...
JP
Answered by Jodie P. • Maths tutor
4754 Views

What are the coordinates of the two turning points of the curve y = x^3+3x^2+3?

To find the turning points we need to find dy/dx and set it equal to zero. From there we can find the x coordinate and substitute it back into the origional equation to find the y coordinate. First we differ...
LD
Answered by Lauren D. • Maths tutor
9830 Views

How to differentiate x^2 + y^2 - 2x + 6y = 5

This is an implicit function, meaning the x and y terms are not able to be seperated onto different sides, i.e. y=f(x). Therefore, we must use implicit differentiation . Before we differentiate the equation ...
AS
Answered by Anneke S. • Maths tutor
14317 Views

What are the rules for decomposition of partial fractions?

There are some very useful rules when dealing with partial fractions 1) For every linear factor such as ax + b in the denominator, there will be a partial fraction of the form A / ax + b . 2) For every repea...
FW
Answered by Filip W. • Maths tutor
9432 Views

Solve this pair of simultaneous equations (1) 5x+2y=20 and (2) x+4y=13

To solve these equations, our aim is to find a value of x and a value of y that satisfy both equations at the same time. By satisfy we mean, if we plug our values in for x and y then the left hand side and r...
JH
Answered by Jenny H. • Maths tutor
4756 Views