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Find the integers n such that 4^(n)-1 is prime.

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...

GH
Answered by George H. Maths tutor
3085 Views

Given that y = x^2 +2x + 3, find dy/dx.

We use a typical rule for polynomials in the form y = axb , where a and b are real numbers. Also, for a polynomial equation y = axb +cx

JC
Answered by Jamie C. Maths tutor
5831 Views

How to differentiate e^x . sin(x)

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

BW
Answered by Brent W. Maths tutor
43639 Views

Using examples, describe and explain how erosion results in the formation of two coastal landforms.

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...

JB
Answered by James B. Geography tutor
7805 Views

How do you structure a business long marker question?

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...

JR
1791 Views

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