Exam 8: Calculus of Several Variables

With an aging population, the demand for health care, as measured by outpatient visits, is steadily growing.The number of outpatient visits (in million) from 1991 through 2001 is recorded in the following table ( corresponds to 1991): 23 Find an equation on the least-squares line for these data.Please round coefficients to the nearest hundredth if necessary.

Evaluate the double integral for the given function f(x, y) and the region R. ; R is bounded by and y = x.

According to industry sources, online banking is expected to take off in the near future.The projected number of households (in millions) using this service is given in the following table: (Here, x = 0 corresponds to the beginning of 1997.) Find an equation of the least-squares line for these data.Please round the coefficients in your equation to three decimal places.Use the result to estimate the number of households using online banking at the beginning of 2009, assuming the projection is accurate.

Find the equation of the least-squares line for the given data.Draw a scatter diagram for the given data and graph the least-squares line.

A formula used by meteorologists to calculate the wind chill temperature (the temperature that you feel in still air that is the same as the actual temperature when the presence of wind is taken into consideration) is where t is the actual air temperature in and S is the wind speed in mph. What is the wind chill temperature when the actual air temperature is and the wind speed is 15 mph ( )? Please round the answer to the nearest If the temperature is , by how much approximately will the wind chill temperature change if the wind speed increases from 15 mph to 16 mph ( )? Please round the answer to the nearest tenth.