1. Your mark on the Calculus exam in percent,, depends on how many hours you study, . M(t)=5.2 t\left(3^{k t}\right)+40 a) If after one hour of studying your mark would be 45%, determine the value of k

b) What is your maximum mark (local max, no need to use the optimisation algorithm), and how long do you need to study to achieve that mark?

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