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Maths
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Solve for x: 2x^2 = 5x + 12

The first step to solving any equation is to work out what kind of equation it is. As this particular equation has only x's and numbers, and it has a x2 term, we know that it is quadratic.Now t...

SP
Answered by Samuel P. Maths tutor
5422 Views

Solve the simultaneous equations A and B: [A] 2x + y = 18 [B] x - y = 6

[A] 2x + y = 18[B] x - y = 6Rearrange [A] to make y the subject 2x + y = 18minus 2x| y = 18 - 2xReplace the value y in [B] with the rear...

NY
Answered by Nichol Y. Maths tutor
3556 Views

Jon and Nik share money in the ratio 5 : 2 Jon gets £150 more than Nik. How much money do they share altogether?

If we forget about the £150 more for a second then we can think of some very basic scenarios where the 5 : 2 ratio is satisfied. For example, Jon has £5 Nik has £2 or Jon has £10 Nik has £4 and so on. Fro...

WS
Answered by William S. Maths tutor
7392 Views

How do you prove the chain rule?

Given the problem f(x)=(y+x)^5 we use the chain rule as a tool to find the derivative. However, it is difficult to use effectively in further problems without understanding the mechanics of the function. ...

EC
Answered by Ella C. Maths tutor
4213 Views

A curve has the equation y = 2x cos(3x) + (3x^2-4) sin(3x). Find the derivative in the form (mx^2 + n) cos(3x)

y = 2x cos(3x) + (3x2-4) sin(3x)
dy/dx = (2x x -sin(3x) x 3) + (2 x cos(3x)) + (6x sin(3x)) + ((3x2-4) cos(3x) x 3)
dy/dx = -6x sin(3x) + 2 cos (3x) + 6x sin(3x)...

TL
Answered by Thomas L. Maths tutor
8908 Views

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