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4^(n)-1 factors to (2^(n)-1)(2^(n)+1) by difference of two squares by definition of a prime (only has factors 1 and itself (given that itself isn't 1))So Exactly one of the brackets should = 1 for 4^(n)-1 to...

We use a typical rule for polynomials in the form y = a x b , where a and b are real numbers. Also, for a polynomial equation y = a x b +c x d +.... , dy/dx = d( a x b )/dx + d(c x d )/dx + ...With this info...

e x sin(x) is a product of two functions: e x and sin(x). This means we can use the product rule. Let e x = u and sin(x) = v The differential of uv is u'v + v'u where u' and v' are the two functions differen...

Coastal erosional landforms are commonly found in high energy environments, where large waves, strong winds and tidal currents drive erosion. There are a number of different mechanisms which cause erosion, i...

As a history student, I was rarely intimidated by the thought of a big marker business question unlike the rest of my peers. However, as time progressed throughout my Alevel study I realised just how easy it...