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Round all answers to three decimal places and include units. 1. The annual number of passengers going through Hartfield-Jacks
LA 2.4 MATH 1020 (J. Hanna) Complete the following sentences by filling in the correct number. e. The annual number of passen
Round all answers to three decimal places and include units. 1. The annual number of passengers going through Hartfield-Jackson Atlanta International Airport (ATL) between 2000 to 2008 can be modeled as P(x)-0.102x+1.39x-3.29x+ 79.25 million passengers and x is the number of years since 2000. Check: P(5)-84.8 tmillion a. Draw a tangent line at x 6 and find the slope 90 of the tangent line. -87 (6, gu, ug Point of tangency _ (6M6)) )-84 81 2nd Point -7 b. Use the numerical method to estimate the slope of the tangent line at x=6 P(x)-P(6) Px)-P6 x-6 5.9 6.1 5.99 6.01 5.999 6.001 5.9999 6.0001 P(x)-P6 lim lim Conclusion: man- Write your answer to part b using the two different derivative notations. c. and Find the percentage rate of change in the annual number of passengers going through ATL in 2006 d.
LA 2.4 MATH 1020 (J. Hanna) Complete the following sentences by filling in the correct number. e. The annual number of passengers going through ATL in 2006 was million passengers. The slope of the tangent line drawn to P(x) at x6ismillion pass passengers per year. The slope of the curve at x-6is 1Smillion passengers per year. The instantaneous rate of change in P(x) at x= 6 is million passengers per year. The annual number of passengers going through ATL in 2006 was increasing by million passengers per year. The annual number of passengers going through ATL in 2006 was increasing by % per year. The annual number of passengers going through ATL between 2000 and 2008 increased an million passengers per year. average of 2. For each graph and each x-value or interval of x-values listed for that graph, determine if the value of the derivative is positive (+), negative (-), zero (0), or does not exist (DNE). Assume the ends of the graphs continue in the manner shown Graph 4 151 3 ·15 5 f(x) x=1.5-1.5 -l.Sc x
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