007A Sample Final 2, Problem 5
The velocity of the blood flow of a skier is modeled by
- Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle V=375(R^{2}-r^{2})}
where Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle R} is the radius of the blood vessel, is the distance of the blood flow from the center of the vessel and is a constant. Suppose the skier's blood vessel has radius Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle R=0.08} mm and that cold weather is causing the vessel to contract at a rate of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{dR}{dt}=-0.01} mm per minute. How fast is the velocity of the blood changing?
