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Find the slope and an equation of the tangent line to the graph of the function fat the specified point. 1 f( x) = Vx

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Find the slope and an equation of the tangent line to the graph of the function fat the specified point. 1 f( x) = Vx - 4, 5 X 2 slope 3/16 equation y = XEffect of Stopping on Average Speed According to data from a General Motors study, the average speed of your trip A (in miles per hour) is related to the number of stops per mile you make on the trip x by the equation 26.5 A = 0.45. dA Compute - for x = 0.22. (Round your answer to two decimal places.) dx X mph per stop per mile Compute dA - for x = 2. (Round your answer to two decimal places.) dx * mph per stop per mile How is the rate of change with respect to x of the average speed of your trip affected by the number of stops per mile? When the derivative of A at a value of x is negative it indicates that A will | decrease if the input increases by a small amount. In this case, if you make 2 stops, your average speed will decrease if you make an additional stop.Medical Costs for a Family of Four The average annual medical costs for a family of four in the United States from 2001 through 2011 is approximated by the function C(t) = 22.9883tz + 830.358t + 7513 (0 s t = 11) where t is measured in years, with t = 1 corresponding to 2001, and C(t) is measured in dollars.t (a) What was the approximate average annual medical costs for a family of four in 2007? (Round your answer to two decimal places.) $ (b) How fast was the approximate average medical costs for a family of four increasing in 2007? (Round your answer to two decimal places.) $

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