Search over 10,000 free study notes

The definite integral gives the value of the area bounded between the curve at the given limits, and the x-axis (if we are integrating with respect to x!) If this value is negative, it means that the area...

A ratio of 1:4 means there are 5 parts to the mixture.
2 litres of drink divided into 5 parts means there are 400 ml per part (2000ml/5 parts).
As Fruit Juice has 1 part, Callum would need 400...

using the product rule

product rule is dy/dx=v.du/dx+u.dv/dx

let u = x^2 and v = cos(x)

du/dx=2x

dv/dx = -sin(x)

so dy/dx=2xcos(x)-x^2sin(x)

(1/2)x(5/8)=5/16

100/16=6.25

6.25 x 5 = 31.25

In order to answer this question you need to find out how much cement, sand and gravel is needed to make 180kg of concrete mix. To do this you must find out how many parts the concrete mix ratio is made u...