A park has frogs and crickets. Frogs eat crickets so the fro…
A park has frogs and crickets. Frogs eat crickets so the frog population is determined by the cricket population. When the park has \(c\) thousand crickets, there are \(f(c)\) hundred frogs. The cricket population changes over time and is given by \(c(t)\) thousand crickets where \(t\) is measured in weeks since the beginning of the year. In this situation, the composition function \(f\circ g\) has input units of and output units of .
Read DetailsConsider the tables of function values below. \(t\) 1 2 3…
Consider the tables of function values below. \(t\) 1 2 3 4 5 \(f(t)\) 2 4 8 14 22 \(f\,’\,(t)\) 1 3 5 7 9 \(t\) 1 2 3 4 5 \(g(t)\) 11 13 11 8 3 \(g\,’\,(t)\) 2 0 -2 -4 -6 What is the value of \(\left(\frac{f}{g}\right)’\,(`x`)\)? Round your answer to two decimal places. Desmos (click to reveal)
Read DetailsThe percentage of mice with a particular genetic mutation is…
The percentage of mice with a particular genetic mutation is currently `a`% and is growing by `aprime`% per year. In a particular county there are now `c` thousand mice and this number is decreasing by `cprime` thousand mice per year. At what rate is the number of mice in this country with the genetic mutation changing right now? Report your answer with two decimal places. (The units of your answer should be “thousand mice per year”.) Desmos (click to reveal)
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