Insect metamorphosis The rate of development of many insects increases gradually with temperature up to a maximum and then rapidly falls to zero. This can be approximated by the function T−Tk, where k is a positive integer and T is a standardized measure of temperature such that 0⩽T⩽1 and T=0 results in no development, whereas T=1 is a lethal temperature. Suppose the daily temperature oscillates according to the equation T(t)=acos2t, where π units of time equals one day, and a is the factor between 0 and 1 by which the temperature oscillates over the course of a day. Determine the cumulative amount of development that happens over the first week for the case where k=3
Insect metamorphosis The rate of development of many insects increases gradually with temperature up to a maximum and then rapidly falls to zero. This can be approximated by the function T−Tk, where k is a positive integer and T is a standardized measure of temperature such that 0⩽T⩽1 and T=0 results in no development, whereas T=1 is a lethal temperature. Suppose the daily temperature oscillates according to the equation T(t)=acos2t, where π units of time equals one day, and a is the factor between 0 and 1 by which the temperature oscillates over the course of a day. Determine the cumulative amount of development that happens over the first week for the case where k=3.
If it is possible i need a step by step solution to this and if possible a way to input this into matlab. thanks.
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