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6. [-!3 Points] DETAILS LCALCCONS 3.6.020. The number of private donations received by non-government disaster relief organizations can be modeled as x) = 0.2xe'0'02 thousand

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6. [-!3 Points] DETAILS LCALCCONS 3.6.020. The number of private donations received by non-government disaster relief organizations can be modeled as x) = 0.2xe'0'02" thousand donations where x is the number of hours since a major disaster has struck. (a) Write an expression for the rate of change in donations. (Round all numerical values to three decimal places.) f'(x) = (b) At what time is the rate of change of donations zero? (Round your answer to three decimal places.) \\:l hours after the major disaster strikes (c) What is the donation level at the time found in part (b)? (Round your answer to three decimal places.) :I thousand donations Need Help? W 7. [-I13 Points] DETAILS LCALCCONS 23.007. The gure shows a graph of U.S. annual oil consumption (in million barrels per day) from 2000 through 2007 with projections for 2003 and 2009. x) million barrels per day 21.2 -- . 21.0 -- 20.8 - 20.6 20.4 20.2 20.0 19.8 19.6 x years since 2000 0 2 4 6 8 10 (a) List the labeled points in order of increasing steepness. (Enter your answers as a comma-separated list.) (b) Is the graph in the gure concave up, concave down, or neither (an inection point) at each of the labeled points? A E B Select V c E 0 Select V e E F Seleot V (c) Should tangent lines he above, fie below, or cut thmugh the curve at each of the indicated points? A E B Seleot V c E e m e E e m (d) Calculate % . (Round your answers to one decimal place.) x=4 \\:l million barrels per day Interpret this value in context. In 2004,. U.S. annual oil consumption was increasing by approximately :I million barrels per day. Need Help? W

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