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(Solved) : Example Solving Optimization Problem Involving Exponential Model Effectiveness Studying Ex Q29452680 . . .

EXAMPLE? solving an optimization problem involving an exponential model The effectiveness of studying for an exam depends on how many hours a student studies. Some experiments show that if the effectiveness, E, is put on a scale of 0 to 10, then E(t) = 0.5[10 + te*), where , is the number of hours spent studying for an examination. If a student has up to 30 h for studying, how many hours are needed for maximum effectiveness? SOLUTION We wish to find the maximum value of the function EO-0510 + te- the interval 0 sIs 30. on First find critical numbers by determining E().

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EXAMPLE? solving an optimization problem involving an exponential model The effectiveness of studying for an exam depends on how many hours a student studies. Some experiments show that if the effectiveness, E, is put on a scale of 0 to 10, then E(t) = 0.5[10 + te”*), where , is the number of hours spent studying for an examination. If a student has up to 30 h for studying, how many hours are needed for maximum effectiveness? SOLUTION We wish to find the maximum value of the function EO-0510 + te- the interval 0 sIs 30. on First find critical numbers by determining E'(). Show transcribed image text

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