Search over 10,000 free study notes

We have 3^(2x+1) = 4^100

=> log(3^(2x+1)) = log(4^100)

=> (2x+1)log(3) = 100log(4)

1/4

The first step is to differentiate both sides of this equation with respect to x - we will then be able to solve for dy/dx. Differentiating the right side of the equation gives d/dx(17)=0. We’ll different...

We want to rearrange the expression to the form (1+y)^n so we can use the general result: (1+y)^n=1+ny+[n(n-1)/2]y^2+[n(n-1)(n-2)/3!]y^3+... 1/(2+5x)^3 = (2+5x)^-3 = [2(1+5x/2)]^-3 = (2^-3)(1+5x/2)^-3 usi...

Amount of paint needed:

White paint = (18 ÷ 5) × 3 = 10.8 litres

Blue paint = (18 ÷ 5) × 2 = 7.2 litres 

Cost of white paint = 10.8 x £2.80 = £30.24

Cost of blue paint = 7.2 x ...