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I am going to assume you know what an irrational number is, given that that should have been taught right at the beginning the topic of surds. When I talk about a “rational” number, here I mean “whole num...
x2 - 9x ≤ 36
1. Draw a graph.
y = x2 - 9x and y = 36
2. Find the points of intersection by solv...
A definite integral is actually a numerical value, which the represents the area under a graph between two points. For example, if you integrated f(x) between two values (lets call them a and b), the answ...
In this example, we want to find values for both x and y which are our unknowns.
So we start by rearranging x to be on its own but still in terms of y. We then can plot it into the next ...
First combine the two functions so that we have an equation for a to solve:
G(h(a)) = (3^x)^3 + 1 = 3^(3x) + 1 = 244
which gives
3^(3x) = 243
Now...
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