Fish enter a lake at a rate modeled by the function E given by ( ) 20 15sin 6 t E t . Fish leave the lake at a
rate modeled by the function L given by 2 0.1 L( ) 4 2 t t . Both E(t) and L(t) are measured in fish per hour, and t is measured in hours since midnight (t = 0). a) How many fish enter the lake over the 5-hour period from midnight (t = 0) to 5 A.M. (t = 5)? Give your answer to the nearest whole number.
1 answer:
Answer: The number of fish that enter the lake from midnight (t = 0) to 5 A.M. (t = 5) is 101 fish
Step-by-step explanation:
Given that
Fish enter a lake at a rate modeled by the function E given by E(t) = 20 + 15 sin(πt/6). Fish leave the lake at a rate modeled by the function L given by L(t) = 4 + 2^0.1t2. Both E(t) and L(t) are measured in fish per hour, and t is measured in hours since midnight (t = 0).
(a) How many fish enter the lake over the 5-hour period from midnight (t = 0) to 5 A.M. (t = 5)?
Please find the attached file for the solution
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