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Differentiate w.r.t x the expression arccos(x).

Using implicit differentiation, let y equal arccos(x) : y=arccos(x). So x = cos(y), and dx/dy = -sin(y). dy/dx is therefore -1/sin(y). from trig indentities: sin(y) = sqrt(1-cos^2(y)). Substituting gives ...

DP
4206 Views

'Constitutional Reform since 1997 has not gone far enough'

Introduction: Define constitutional reform and state issues that have occured that call for constituional reform e.g. centralisation of power and the need for devloution. Position your argument --> con...

RW
Answered by Rachel W. Politics tutor
7429 Views

Describe the mechanics of breathing at rest

During inhalation, the diaphragm contracts to flatten and the internal intercostal muscles contract, moving the rib cage up and out. This causes an increase in thoracic cavity volume, causing the pressure...

RK
2464 Views

How do I structure my essay to maximise marks and impress the examiner on the essay question?

Firstly, at GCSE it is possible to follow a very rigid structure and receive very high marks. You should write a very brief introduction and about 3 paragraphs with a conclusion that links and prioritises...

LS
Answered by Lukasz S. History tutor
2254 Views

You are given a polynomial f, where f(x)=x^4 - 14x^3 + 74 x^2 -184x + 208, you are told that f(5+i)=0. Express f as the product of two quadratic polynomials and state all roots of f.

Since x=5+i is a solution to f(x)=0 we then know that x=5-i must also be a solution to f(x)=0, by the complex conjugate root theorem.Now we can break f down into the product of a polynomial and these two ...

PL
2244 Views

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