With $x$ representing the water temperature in degrees Celsius, $S(x) = -x^3 - 9x^2 + 165x + 1300$, $5 \le x \le 20$ is an approximation to the number of salmon swimming upstream to spawn. Find the temperature that produces the maximum number of salmon.
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5 X520 represents the relationship between water temperature (X) in degrees Celsius and the number of salmon spawning (Sx). This equation is likely a model that predicts the number of salmon spawning at different water temperatures. Show more…
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The number of salmon swimming upstream to spawn is approximated by S(x) = −x³ + 3x² + 360x + 5000, 6 ≤ x ≤ 20, where x represents the temperature of the water in degrees Celsius. Find the water temperature that produces the absolute maximum number of salmon swimming upstream.
Adi S.
Salmon Spawning The number of salmon swimming up- stream to spawn is approximated by $$S(x)=-x^{3}+3 x^{2}+360 x+5000, \quad 6 \leq x \leq 20,$$ where x represents the temperature of the water in degrees Celsius. Find the water temperature that produces the maxi- mum number of salmon swimming upstream.
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