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Let P(n) represent the statement that 'f(n) is divisible by 19'. For the basis step, I prove that P(1) is true: f(1) = 33(1)-2+ 23(1)+1 = 19. 19 is divisible by 19 so P(1) is true. I...
The fundamental rule to keep in the back of your head is 'whatever happens to one side must happen to the other'. This way we can be sure that whatever is on the left hand side of the equals sign will be ...
Stationary points of an equation are found where the gradient of the tangent at this point equals zero. A diagram can illustrate this. To find them differentiate the given equation (which gives the gradie...
In order to tackle this equation, we have to keep in mind that whatever we do to one side of the equation we have to do to the other. Our aim is going to be to get all of the x's together on one side of t...
This question teaches the importance of drawing diagrams to figure out what a question is asking, as well as deeply testing how well the student understands trigonometry and equation rearrangement, combin...
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