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Integral of 1/(x^3 + 2x^2 -x - 2)

Factorise denominator using the factor theorem giving - 1/(x+1)(x+2)(x-1) Use partial fractions to turn this into an easier form to integrate giving - 1/3(x+2) + 1/6(x-1) - 1/2(x+...

MO
Answered by Mojowo O. Maths tutor
9903 Views

A curve has the equation 2x^2 + xy - y^2 +18 = 0. (1) Find the coordinates of the points where the tangent to the curve is parallel to the x-axis.

Firstly notice that the coordinates of the points where the tangent to the curve is parallel to the x-axis are precisely the points where the rate of change of y with respect to x is not changing. That is...

OL
Answered by Oliver L. Maths tutor
9246 Views

An engineering student found that the Youngs modulus of an alloy was 2.8 x 10^11 Pa. The 1.5m wire of the allow increased in length by 0.24% during an experiment. Calculate the stress on the wire.

The Youngs modulus of a material is = Stress / Strain. Therefore, the stress of an object is the strain multiplied by the Youngs modulus. We know that strain is the change in length (or extension) divided...

DT
Answered by David T. Physics tutor
4095 Views

What are the policy reasons for imposing strict liability in vicarious liability cases?

Robert Stevens identifies four main policy reasons for this strict liability. First, to encourage an employer to be more careful; second, that an employer will have 'deeper pockets' i.e more money to pay ...

RL
Answered by Rose L. Law tutor
7920 Views

‘Social class remains the main determinant of voting behaviour in the UK.’ Discuss

When looking at longer, essay style questions such as these, often the differences between an average grade, and getting into those top boundaries, lies in answering the question in a specific manner, suc...

MH
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