Search over 10,000 free study notes

The sides of the cuboid are as follows: x, x+1 and x+2. Total surface area of a cuboid is the area of each surface added together. Therefore 2x(x+2)+2x(x+1)+2(x+2)(x+1)= 52 units².

2x²+4x+2x²+2x+2x...

This question is to test integration by parts.  First let u=x² and u'=2x as a result, and v'=e^x and so v=e^x too. Then use the by parts formula to express the integral as x...

The answer is: n = (m + 21)/5 How did we get this? Right now, the equation is written in the form where m is the subject. We want to rearrange this so that n is the subject of the formula. The formula sho...

df/dx = 4x - 2

turning point when differential = 0 

==>

4x = 2 hence;  x = 0.5

When x = 0.5 f(x) is equal to (substitute) 3.5

hence the turning point is at (0.5,3.5)<...

The island is 2km. If the scale is 1cm:500m we need to multiply both left and right sides by 4 to get to the 4cm that was measured. This gets us 4cm: 2000m . We now need to convert 2000m to km which gives...