Question
With $t$ in years since 2016 , the height of a sand dune (in centimeters is $f(t)=700-3 t^{2} .$ Find $f(5)$ and $f^{\prime}(5)$ Using units, explain what each means in terms of the sand dune.
Step 1
To do this, we substitute $t=5$ into the function $f(t)=700-3t^{2}$. $$ f(5)=700-3(5)^{2}=700-3(25)=700-75=625 $$ So, $f(5)=625$ cm. This means that the height of the sand dune 5 years after 2016 is 625 cm. Show more…
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The height of a sand dune (in centimeters) is represented by $f(t)=700-3 t^{2},$ where $t$ is measured in years since 2005. Find $f(5)$ and $f^{\prime}(5) .$ Using units, explain what each means in terms of the sand dune.
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