Two different moulds grow at different rates. The mass of the first mould(in grams)is well described by the function m₁(t) = 20√t where the time t is measured in hours. The second mould grows according to m₂(t) = 5t². (a) Write a MATLAB program using array operations to generate a table (with headings) of the amount of each mould each hour starting at time t = 0 up to a maximum time entered by the user. Run your program with the maximum time set to 10. (b) Write a separate MATLAB program using the plot command to graph the amount of the two moulds on the same axes for 0 ≤ t ≤ 5. Make sure you label your axes. (c) Use the graphical output from your MATLAB program in part (b) and the ginput command to estimate the time when the amounts of the moulds are equal.

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Randomized Select Algorithm

A randomized algorithm is defined as one that uses a certain amount of randomization in its logic or operation. It is said to be an algorithm that depends on the random number to perform its operation. It is used for reducing the overall time complexity, space complexity in the standard algorithm. The randomized algorithm uses the concept of random numbers to find the solutions to the different kinds of problems and also to improve the problem solutions.