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Here we need to use the formula for the sum of a geometric series up to n terms: s = a*(r^n-1)/(r-1). In this formula, 'a' is the first term of the series, 'r' is the common ratio between each consecutive...

This is a question involving inequalities. An inequality is a statement about real numbers involving one of the symbols >, ≥, ≤, <. In our question we have to find when function f(x)=3x^2+8x-3 is le...

In order to answer this question, we must first understand the concept of impulse. When a force acts on an object, its momentum is being changed, and this change is defined as the impulse. Put simply, Imp...

Upon being told to find the roots of a quadratic we should investigate the various different ways of finding these roots. With experience you will learn to be able to find roots without many calculations ...

To differentiate a function of the form y=a^x you need to use a neat little trick to rewrite a^x in the form of something you already know how to differentiate. Using the fact that e^ln(x) is equal to x, ...