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10. [-/6 Points] DETAILS SCALCET9 2.7.014. The displacement [In feet) of a particle moving In a straight line is given by's - Up - 7: + 19, where & Is measured In seconds. (2) Find the average velocity (In fty=) over each time Interval. (1) [4. 8] it/'s () [6. 8] [8, 10] it/'s [) [8, 12] it/'s (b) Find the Instantaneous velocity (In ft/s) when t = 8. Ift/'s (C) Draw the graph of s as a function of f and draw the secant lines whose slopes are the average velocities in part (a). Then select the graph of's with the tangent line whose slope is the instantaneous velodty In part (b). 15/ 8 106 204 10 15/ 5 - I 10 10 15 10 15 - 10 15 5 -10 -15 -S -10 -15 -10 Need Help? Bash Submit Answer11. [-/4 Points] DETAILS SCALCET9 2.XP.7.019. The number W of US cellular phone subscribers (In millions) by year ($) is shown in the table. [Midyear estimates are given.) 1936 1998 2000 2004 2006 109 141 187 233 (2) Find the average rate (In millions of phones per year) of cell phone growth between the following years. In each case, Include the units. (Round your answers to one decimal place.) (1) from 2002 to 2006 million phones/yr () from 2000 to 2002 million phones/yr (ull) from 1998 to 2000 million phones/yr (b) Estimate the Instantaneous rate of growth (In millions of phones per year) in 2000 by taking the average of the two average rates of change in (il) and (ill). million phones/YT Need Help? Submit Answer 12. [-/1 Points] DETAILS SCALCET9 2.XP.7.006. Find an equation of the tangent line to the curve at the given point. SX (0, 0) (x + 1)2' Need Help?8. [-/6 Points] DETAILS SCALCET9 2.7.055. MY NOTES PRACTICE AN Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour after consumption of 30 ml of ethanol (corresponding to two alcoholic drinks). Selected values of C(:) are given in the table. (Round your answers to two decimal places.) t (hours) 1,0 1.5 2.0 2.5 3.0 C(t) (g/dL) 0.31 0.24 0.12 1,09 (=) Find the average change of C with respect to t over each time interval. (i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0] (b) Estimate the instantaneous rate of change at & = 2 and interpret your result. What are the units? O g/dL h 0 9/dL o dug h O g/dL Oh Need Help? Read It Watch It Submit Answer9. [-/3 Points] DETAILS SCALCET9 2.7.049. MY NOTES PRACTICE ANOTHER The cost (in dollars) of producing x units of a certain commodity is C(x) = 9,000 + 12x + 0.05x2. (=) Find the average rate of change (in $ per unit) of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.) () x = 102 $1 per unit (ii) x = 101 $ per unit (b) Find the instantaneous rate of change (in $ per unit) of C with respect to x when x = 100. (This is called the marginal cost. Its significance will be explained in a future chapter.) $ per unit Need Help? Read It Watch it Submit