finding the minimum

enott312

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Aug 24, 2015
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10
I have a problem in my exam revision and I am getting stuck.

The problem is basically as follows

A hiker is walking from checkpoint 1 to checkpoint 2 in the mountains, x km apart. The time taken for the journey, t, in hours is given by the following equation

attachment.php


Find the minimum time that the journey can take.

I know that you need to solve where dt/dx = 0.

and
attachment.php


When I solve for x I get 13 and then subbing into equation 1, t is also 13 (approx).
The answer that I am supposed to get is t = 5 (according to the answer sheet).

Can someone point out where I am going wrong?
 
I have a problem in my exam revision and I am getting stuck.

The problem is basically as follows

A hiker is walking from checkpoint 1 to checkpoint 2 in the mountains, x km apart. The time taken for the journey, t, in hours, is given by the following equation

attachment.php


I know that you need to solve where dt/dx = 0.

attachment.php


This is the working I do:
attachment.php


attachment.php

attachment.php

attachment.php

attachment.php

attachment.php

attachment.php



Subbing this back into the original equation does not work as you then need to take SQRT (-11.53) and in the course that I am doing this in, we do not use i​. Where am I going wrong?
 
I have a problem in my exam revision and I am getting stuck.

The problem is basically as follows

A hiker is walking from checkpoint 1 to checkpoint 2 in the mountains, x km apart. The time taken for the journey, t, in hours, is given by the following equation

attachment.php


I know that you need to solve where dt/dx = 0.

attachment.php


This is the working I do:
attachment.php


attachment.php

attachment.php

attachment.php

attachment.php

attachment.php

attachment.php



Subbing this back into the original equation does not work as you then need to take SQRT (-11.53) and in the course that I am doing this in, we do not use i​. Where am I going wrong?

Your work - I assume they are images - are not showing up. Can you type them in or present them in some other way?
 
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