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use Matlab code!!! thanks Q3. WHERE TO DIG? [10 MARKS] Because the beach is well known to you and friends, you all have a good

use Matlab code!!!

thanks

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Q3. WHERE TO DIG? [10 MARKS] Because the beach is well known to you and friends, you all have a good understanding of how the concentration of gold in the beach sand varies by distance from the waterline and by sand colour. Figure 2 provides an aerial view map of the beach, while Figure 3 provides an example of what the beach looks like from your perspective when prospecting. Ocean Beach Black Sand Deposits Water line at Mid-tide Figure SEQ Figure \"ARABIC 3: An example of the beach seen from your perspective. Figure SEQ Figure * ARABIC 2: A top view of the beach being searched. The waterline at mid-tide shown by the blue dashed line with the ocean to its left and the beach to its right. The darker areas on the beach indicates the location of black sand deposits. In comparison to the light-coloured sand consist primarily of Silica (SiO), whereas natural processes such as, rain, wind, and tidal actions, can cause the sand to appear darker due to higher concentrations of mineral deposits such as, iron oxide [Fe20) and hopefully Gold [Au]! The densities of these minerals that are relevant to your search are given in Table 2. Table 2. Mineral densities relevant to your search for gold. Silica [S104) 2.7 g.cm Iron oxide [Fe203] 5g.cm Gold [Au] 19.2 g.cm You have done a lot of testing to determine how the concentration of gold in the sand varies as a function of distance from the water line at mid tide. You have developed a description in terms of an ordinary differential equation (ODE) given as follows: dc dx 0.5e -0.05c - 0.02x2c2 (Eq. 1) Note that is the gold concentration in grams per cubic metre and that c(-10) = 0.5 g.m?. The variable x is the distance in metres from the water line at mid tide (with positive x being away from the water and perpendicular to the water line). COMPLETE THE FOLLOWING TASKS: TASKA 5 MARKS Using an appropriate step size, solve the ODE above over the range -10

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