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For both parts you have to remember some of the properties of powers. Rule 1: x^0 = 1. Rule 2: x^(-n) = 1/(x^n). Rule 3: x^(1/n) = n-th root of x. For part (i) we can use rule 1 to see that 200^0 = 0. For...

To be able to solve this, the equation needs to be integrated. To do this, increase the power by 1 and divide by the new power.

The equation below is equal to that given in the question

y = ...

The first step is to find out the value of x for which your bracket/value you think is a factor equals 0. So, x – 2 = 0, therefore x = 2. Now plug in this value into your original equation and if the resu...

To begin to solve this equation we must take natural logarithms of both sides of the equation. This gives: ln(3^x*e^4x) = lne^7 Then we can use the log rules on the left hand side to expand it slightly to...

Suppose we have a matrix M = [{a b} {c d}]

The inverse of a matrix M is any matrix, that when multiplied by M, gives the unit matrix (I) - in this case: [{1 0} {0 1}]

First, we have to d...