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Find all the stationary points of the curve: y = (2/3)x^3 – (1/2)x^2 – 3x + 7/6 and determine their classifications.

The first thing to do is write down y’ and y’’ neatly since these are the main two equations we will be working with… y’ = 2x2 – x – 3 & y’’ = 4x – 1… To find the stationary point we must f...

HT
Answered by Henry T. Maths tutor
3574 Views

Explain the arguments for and against airport expansion.

One argument that has been deployed by the government in particular, in favour of airport expansion is the boost in employment and of tourism that can be achieved. The Coalition, despite being labelled as...

MS
6226 Views

How do you solve a Differential equation using integrating factors?

Check the equation is in the form dy/dx + P(x) y=Q(x) (show example) Find the int factor: I(x)=eintegralP(x) dxMultiply all terms by the integrating factorMake sure you show this step clearly: ...

RB
Answered by Rachael B. Maths tutor
3444 Views

How do i structure my essays efficiently

The easiest way to structure and History Essay is a short snappy introduction that grabs the attention of the examiner. The aim should be to outline the key points you are going to talk about in the essay...

GB
Answered by George B. History tutor
1885 Views

The region below the curve y = e^x + e^(-x) and the lines x = 0, x = ln4 is rotated 2π radians about the x-axis. Find the volume of the resulting solid.

We can use the formula for a Volume of Revolution: V =π ∫ (e^x + e^(-x))^2 dx, with limits x = 0, x = ln4.Expanding the brackets: (e^x + e^(-x))^2 = e^2x + 2 + e^(-2x).So: V = π ∫ (e^2x + 2 + e^(-2x)) dx ...

RS
Answered by Rumen S. Maths tutor
4232 Views

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