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How to find a modulus and argument of w that is a quotient of z1 and z2 such that z1 = 1 + root(3)i and z2 = 1+ i using modulus-argument form?

First of all, transform both z₁and z₂ into modulus-argument form. To obtain that form, you are going to need a modulus (the length of the hypotenuse on the Argand diagram) and argum...

Answered by Piotr S. • Maths tutor

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Write (x-2)(x+4)=10 in the form ax^2 + bx + c = 0 and work out the values of a, b and c

We should begin by multiplying out the brackets. Firstly, multiply each term in the first bracket with the first term in the second bracket: x times x equals x² and -2 multiplied by x is equal ...

Answered by Thomas C. • Maths tutor

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Find the area beneath the curve with equation f(x) = 3x^2 - 2x + 2 when a = 0 and b = 2

This question is an example of integrating to find the area underneath a curve between two points. We begin by intergrating the equation. Firstly, to integrate 3x²we increase the indice/power ...

Answered by Thomas C. • Maths tutor

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White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

3:2 means there are 5 parts. So 18 litres can be divided by 5, and the price of each part worked out individuallly.

18 / 5 = 3.6

To work out how much the white paint costs: 3.6 x £2.80 = £10...

Answered by Sophia H. • Maths tutor

2804 Views

Use implicit differentiation to find dy/dx of a curve with equation x^3 + yx^2 = y^2 + 1.

Begin by differentiating each term w.r.t x: d/dx(x^3) + d/dx(yx^2) = d/dx(y^2) + d/dx(1). the terms x^3 and 1 are simple enough to start of with: d/dx(x^3) = 3x^2 and d/dx(1) = 0. Next use the chain rule ...

Answered by Marlon H. • Maths tutor

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