Search over 10,000 free study notes

Enzymes are proteins which catalyse (speed up without being used up) biological reactions. Each enzyme will only speed up one reaction as the shape of the enzyme molecule needs to match the shape of the mole...

First, recognise that 3^2 = 9. Recall the rule for multiplying indices, that (a^b)^c = a^{bc}. Then, substitute 3^2 in place of 9 to get 3^{4x} = (3^2)^{(x-1)/2}. Use the rule for multiplying indices, so tha...

Finding f(x) requires integrating the function f'(x), because f(x) is the integral of the given function f'(x). So {integralsymbol} f'(x) dx = {integralsymbol} (3x^2 - 5cos(3x) + 90) dx = x^3 - (5/3)sin(3x) ...

The answer to this question is rather simple. There is a natural pressure/temperature difference between the inside of the house and the outside. The humidity in the warm air is much greater than that of col...

4.28 rounds down to 4; sqrt(99) is approximately 10; 7.83 rounds up to 8 So an appropriate estimate would be: (4x10)/8 = 40/8 = 5