[Solution]A barrier is being constructed to separate a body of water

The height above the ground of a suspended cable is given by h = 20 + cosh x where x is the distance measured from…

The height above the ground of a suspended cable
is given by h = 20 + cosh x where x is the distance measured from the centre of
the suspended cable.

            Determine
the height of the cable 2.5m from the centre of the span.

A barrier is being constructed to separate a
body of water into two sections, section A and section B. Due to fluctuations
in the tide the depth in metres of the water in the two sections can be modelled
with the following equations.

   

,

Solve the above equations
and calculate when the height of the two sections become equal.

Biodegradable materials such as geotextiles can
be used for ground improvement and soil erosion control with a limited
lifespan.

A polymer-based geotextile
is used to increase the maximum load per unit area that the ground on a
construction site can support. The increase in this maximum load per unit area
can be modelled by the equation:

            Where

 is measured
in Newtons per square metre,

           

 is the time
in years

If

 is initially
5

 and after 2
years it drops to half it’s original value, calculate the values of

 and B, rewriting the equation given with the
values calculated.How long will it take for the value of F to drop to 10% of it’s initial value?
The post A barrier is being constructed to separate a body of water

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