(Solved): A company's revenue for selling x (thousand) items is given by R(x)=x2+899899xx2. Find the va ...

A company's revenue for selling $x$ (thousand) items is given by $R(x)=\frac{899x?x^2}{x^2+899}$. Find the value of $x$ that maximizes the revenue and find the maximum revenue. $x=,\text{ maximum revenue is }\$$ Round your answer to three decimal places. A car is traveling at $65\mathrm{km}/\mathrm{h}$ due south at a point $\frac{4}{5}$ kilometer north of an intersection. A police car is traveling at $49\mathrm{km}/\mathrm{h}$ due west at a point $\frac{2}{5}$ kilometer due east of the same intersection. At that instant, the radar in the police car measures the rate at which the distance between the two cars is changing. What does the radar gun register? $\mathrm{km}/\mathrm{h}$ A baseball player stands 5 meters from home plate and watches a pitch fly by. In the diagram, $x$ is the distance from the ball to home plate and $?$ is the angle indicating the direction of the player's gaze. Find the rate ${?}^{?}$ at which his eyes must move to watch a fastball with $x^{+}(t)=?40\mathrm{m}/\mathrm{s}$ as it crosses home plate at $x=0$.