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Simplify Fully: (b^6 x b^2) / b^4

Using indices rules: y^a x y^b = y^(a+b), y^a / y^b = y^(a-b) Simplifying the numerator: b^6 x b^2 = b^(6+2) = b^8 Simplifying the whole fraction: b^8 / b^4 = b^(8-4) = b^4 Fully simplified answer is b^4.
CH
Answered by Claudia H. • Maths tutor
4898 Views

Jess wants to buy 30 mugs for her tea party. She can buy them at Shop A at £3.49 each or at Shop B as a pack of 30 at £58 plus VAT at 20%. She wants to get the cheapest option. Which shop should she buy from?

Shop A-> Total Price = 30 plants x £2.49 =£74.70 Shop B-> VAT = 20% = 0.2 VAT = 0.2 x £58 = £11.60 Total Price = £11.60 + £58 = £69.60 OR Total price = 1.2 x £58 = £69.60 Therefore Jess should buy from...
CH
Answered by Claudia H. • Maths tutor
3171 Views

How do you integrate ln(x)?

Use the method of integration by parts. uv-integral(v.du/dx). Make u equal to ln(x) and dv/dx equal to 1. Therefore v=x and du/dx=1/x. Hence uv=xln(x). And v.du/dx=x/x=1. Substituting these into the 'by part...
MS
Answered by Michael S. • Maths tutor
3781 Views

Show that 12 cos 30° - 2 tan 60° can be written in the form√ k where k is an integer

Firstly work out (using the sin cos tan triangle and soh cah toa) what cos 30° and tan 60° are equal to so tan 60° = √3 and cos 30° = √3 / 2 then substitute these values into the euqation giving 12 x √3 / 2 ...
EN
Answered by Eve N. • Maths tutor
33251 Views

How do you differentiate y=sin(cos(x))?

To solve this question we will use the chain rule, as we can see that we have one function being applied to another, i.e sin is being applied to cos(x). This means we are able to replace the original functio...
MP
Answered by Marcel P. • Maths tutor
19260 Views