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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
3395 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
7203 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
4085 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
8664 Views

What is the nth term of the sequence 5, 7, 9, 11....

Difference between each number is +2Therefore the sequence is 2n + C
When n = 1 the value is (2x1) + C = 2 + C = 5C = 36
nth term is 2n + 3
CHECK
3rd term should be...

TL
Answered by Thomas L. Maths tutor
23048 Views

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