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Solve the equations giving your answer in 2d.p (5 Marks).: x^2 + y^2 = 36 , x = 2y + 6

x² + y² = 36 (1)

x = 2y + 6 (2)

You can solve simulateous equations in three ways: Substitution, addition or subtraction. If one equatio...

Answered by Joseph P. • Maths tutor

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Take the square root of 2i

As with much of complex number the trick here is to change forms to polar representation.If you think of an argand diagram the number i will be represented as a point straight up on the imaginary...

Answered by Simon T. • Maths tutor

7419 Views

How do I solve simultaneous equations?

Simeltanous equations are a pair of equations that have 2 unknows. In order to solve a simelatneous equation 1 of the unknows must be eliminated. This can be done by either:

1. Substitut...

Answered by Rory B. • Maths tutor

4859 Views

Integrate the following function by parts and reduce it to it's simplest form. f(x) = ln(x).

First note that ln(x) = 1ln(x), this is in the form udv/dx.

Let dv/dx = 1 and u = ln(x).

du/dx = 1/x from the standard results and v = x by integration.

Answered by Ryan B. • Maths tutor

4686 Views

Integrate sinx*ln(cosx) with respect to x.

1. ʃ sinx*ln(cosx) dx

First notice the composition ln(cosx). To make the expression easier to integrate we try substitution (substitution is often useful when trying to integrate expressi...

Answered by Darshan S. • Maths tutor

18137 Views