Solve. See Example 7. The total revenue from the sale of a popular book is approximated by the rational function $R(x)=\frac{1000 x^{2}}{x^{2}+4},$ where $x$ is the number of years since publication and $R(x)$ is the total revenue in millions of dollars. a. Find the total revenue at the end of the first year. b. Find the total revenue at the end of the second year. c. Find the revenue during the second year only. d. Find the domain of function $R$.
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Step 1
To find the total revenue at the end of the first year, we need to substitute $x=1$ into the function $R(x)$: $$R(1)=\frac{1000\cdot 1^{2}}{1^{2}+4}=\frac{1000}{5}=200$$ Show more…
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The total revenue from the sale of a popular book is approximated by the rational function $R(x)=\frac{1000 x^{2}}{x^{2}+4},$ where $x$ is the number of years since publication and $R(x)$ is the total revenue in millions of dollars. a. Find the total revenue at the end of the first year. b. Find the total revenue at the end of the second year. c. Find the revenue during the second year only.
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