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Firstly start by rearranging [equ1] to get y = 2x + 1 . Then substitute this result into [equ2] this will give you (2x + 1) (2x ) x . Simplify the equation and subtract two from both sides to 2 − x + 1 + ...

1. Find by what ratio the weigh of rice has increased.

If the rice increases in weight from 60g to 145g, the factor by which it increases is: (145/60) = 2.4166...

2. M...

There are a few ways to tackle this particular style of problem. First off we can try doing it without using any bracket theory and just focus on the raw numbers (a somewhat simpler approach). Step 1: We'...

(3x + 1)² = 9x² + 6x + 1 (3x - 1)² = 9x² - 6x + 1 (9x² + 6x + 1) - (9x² - 6x + 1) = 12x 12x/4 = 3x Therefore for all positive integers of ...

 u = Cos(x³)

To differentiate this function we will use the chain rule. Firstly we will set x³  to another variable name such as v. So now v = x³ . Lets differentia...