Search over 10,000 free study notes

4cm*6cm = 24cm² (End face) 24cm²*12cm = 288cm³ (Volume of one cuboid) 288cm³*2 = 576cm³ (Volume of two cuboids)

x²+y²=25, y-2x= 5 y = 5+2x  -----> y² = (5+2x)² = 25 + 20x +4x² x² + 4x² + 20x + 25 = 25 5x² + 20 x = 0 x = 0 y =...

a) (x+7)(x-7) b) y = (x^2) - 49 y' = 2x 0 = 2x x = 0 y = (0^2) - 49 y = -49, x = 0

The key here is to simplify the left hand side. There are two different approaches to take here, one slightly faster but both perfectly legitimate. First approach: Remember the formula (a + b)^{2} = a^{2}...

A basic function of integration states that: for a function f(x), the integral of f'(x)/f(x) = ln[f(x)] (the natural log of the modulus of f(x)). Take the denominator of f(x), x⁴+1. We will ref...