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Maths
A Level

Find the coordinates of the point of intersection of the lines y = 5x - 2 and x + 3y = 8.

  1. substitute y=5x-2 into second equation --> x + 3(5x- 2)= 8// 2) factorise and simplify to get 16x=14 3) divide 14 by 16 to calculate the value of x to be 7/8 4) sub value of x into equation 1 to...
AT
Answered by Anand T. Maths tutor
5374 Views

Find dy/dx of the equation y=x^2 ln⁡(2x^2+1).

This question requires the use of two key rules of differentiating. The first of these is the product rule. The product rule describes a way of differentiating an equation which is the product of two diff...

CL
Answered by Cameron L. Maths tutor
4164 Views

When integrating, why do we add a constant to the resulting equation?

The +c is to represent the loss in information after differentiation. Remember, integration is just the reverse of differentiation. Say we had this function:

f(x) = 2x^2 + 1 And we differentiate: f...

TC
Answered by Tom C. Maths tutor
3447 Views

If y = 2^x, solve the equation 8(4^x) + 9(2^x) + 1 = 0 in terms of y.

We first see that we are asked to solve the equation in terms of y. We can see that y = 2^x, and there is also a 2^x in the equation, meaning we can instantly change that to y. However, there is also a 4^...

SR
Answered by Satveer R. Maths tutor
8991 Views

how to sketch a funtion f(x)

1 find the domain of the function (where it exist) 2 find the solutions of the function, solve f(x)=0 3 if it has vertical asyntotes (poles) identify them (eg the denomitator=0) 4 find the intesections wi...

AF
Answered by Andrea F. Maths tutor
2905 Views

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