Search over 10,000 free study notes

A) y=ln(x) E^y = x E^y(dy/dx ) = 1 E^ln(x)(dy/dx) = 1 X(dy/dx) = 1 Dy/dx = 1/xb) y = 1 * ln(x) V = ln(x) U= x dv/dx =1/x Du/dx = 1xln(x) - (integral) x * (1/x)xln(x) - (integ...

a) The surface area of a 3 dimensional shape is the sum total of the area of each side of the shape. This cuboid is 3x4x2, and so it has 2 sides with area 3x4 = 12, 2 sides with area 4x2 = 8, and 2 sides ...

Factorise fully the following expression: 2a²b + 6ab²
First, find the common terms by treating, 2a²b and 6ab² as separate objects.
We see common term...

i) y = x²+3x+2 = (x+3/2)²-1/4Solution for (x+3/2) = 0 is x coordinate, which is x = -3/2Solution for y value is the additional constant, which is y = -1/4Therefore the vertex (minimu...

 x²+3x+2 = (x+p)²+q (x+3/2)² = x²+3x+9/4 x²+3x+2 = (x+3/2)²-9/4+2 x²+3x+2 = (x+3/2)²-1/4