Population Density The population density (in people per square mile) for a coastal town on an island can be modeled by
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Calculus: An Applied Approach (MindTap Course List)
- Projectile Motion In Exercises 75 and 76, consider the path of an object projected horizontally with a velocity of v feet per second at a height of s feet, where the model for the path is x2=v216ys. In this model (in which air resistance is disregarded), y is the height (in feet) of the projectile and x is the horizontal distance (in feet) the projectile travels. A ball is thrown from the top of a 100-foot tower with a velocity of 28 feet per second. (a) Write an equation for the parabolic path. (b) How far does the ball travel horizontally before it strikes the ground?arrow_forwardHealth Care Expenditures The table shows annual personal health care expenditure in billions of dollars in the united states from 2011 through 2013 Source Bureau of Economic Analysis. Year 2011 2012 2013 Amount y 1765 1855 1920 (a) Create a system of linear equations for the data to fit the curve y=at2+bt+c where t=1 corresponds to 2011, and y is the amount of the expenditure. (b) Use the Cramers Rule to solve the system. (c) Use a graphing utility to plot the data and graph the polynomial function in the same viewing window. (d) Briefly describe how well the polynomial function fits the data.arrow_forward
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