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The answer is: (4X1000)-(12X330)= 40, ao 40 ml more. You may wonder why 1 litre is 1000, as 1 litre of cola= 1000 ml of cola so we have to convert 1 L to 1000ml in the anwer. Rob buys more cola than Jodie...

First we recall the general formula for the volume of revolution: V = π ∫ [f(x)]² dx Substituting our function, this gives: V = π ∫₀¹ (3^x)² x dx We could write (3^x)² as 3^(2x), or we could notice that t...

I think the best way to show how to do this is with an example

"Factorise 6x² + 7x - 3"

Looking at that expression, we can't factorise it straight away, so we'll have to...

Cosx-3sinx =R(CosxCosa-SinxSina) 1=Rcosa R^2=1^2+3^2  r=(10)^0.5=(approx)3.16 a=1.249 3.16Cos(x+1.249)=4 has no solution as 4<3.16 so as cos(theta) has maximum value of 1, there are no solutions

You should remember that a semi circle is the same as half a circle, therefore the area must be half as well! The formula for the area of a circle is pi r^2. If we use this, the area of our circle = pi x ...