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Why does exp(x+y) NOT equal exp(x)+exp(y)? [A-level Maths and Further Maths common mistake]

This is a very common mistake, so don't worry. To see why this is the case, let's go back through our notes to the "laws of indices" and recall the rule for adding powers; am

TD
Answered by Tutor56252 D. Maths tutor
9250 Views

Solve 6x^2 > 3 - 7x

First put everything to one side, 6x2 + 7x - 3 > 0

Then factorise the LHS, (3x - 1)(2x + 3) > 0

Get two answers for x, x = 1/3 or x = -3/2

Then work out where the val...

WJ
Answered by William J. Maths tutor
3641 Views

Solve the following equation by completing the square: x^2 + 6x + 3 = 0.

Completing the square is a method of solving quadratic equations that cannot be easily factorised, without having to use the quadratic formula. The first step is to look at the coefficient of the second t...

EC
Answered by Emma C. Maths tutor
25220 Views

How do you work out the equation for a line?

In order to work out the equation for a line, you need the gradient of the line and the coordinates of a point on the line. To find the gradient on the line, you look at two points on the line and calcula...

SB
Answered by Sam B. Maths tutor
5241 Views

How do I remember the coefficients of a Taylor expansion?

If it's not sticking in your head; don't. I find it's easier to just remember what the point of a Taylor expansion is: to express a function as an infinite polynomial, often because polynomials are ea...

SR
Answered by Steven R. Maths tutor
4772 Views

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