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Find the first three non-zero terms of the Taylor series for f(x) = tan(x).

We have that the Taylor series of a function infinitely differentiable at a x = a is given by the expansion: f( x ) = f( a ) + f'( a )( x - a ) + f''( a )( x - a ) 2 /2! + f'''( a )( x - a ) 3 /3! + f (4) ( ...
AS
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How should I structure an essay comparing two texts?

There are two different ways to approach the structure of an essay that compares two texts. One is an integrated approach, and normally reaches the higher bands in mark schemes as a more sophisticated approa...
AP
Answered by Alisha P. • English tutor
5806 Views

What is pathetic fallacy and why is it used ?

Pathetic fallacy is a specific kind of personification - that is, attributing human traits to abstract concepts or non-human entities - which relates to the connection between a human's internal emotions and...
AB
9087 Views

Find the values of the constants a and b for which ax + b is a particular integral of the differential equation 2y' + 5y = 10x. Hence find the general solution of 2y' + 5y = 10x .

We start by letting yp = ax+b, as suggested, and finding the derivative yp' = a. Substituing into ODE (by way of matching coefficients) gives a pair of simulataneous (algebraic) equations: (1) 2a=5b (2) -5a=...
BR
Answered by Ben R. • Maths tutor
5286 Views

Why is 2 + 2 not equal to 12?

This might seem like an obvious question and the instinctive urge is to disregard it entirely. Perhaps you would think "well that's silly, it's just not!" Well, that's the intention of the question...
XJ
Answered by Xav J. • Maths tutor
5097 Views