(a) Find the instantaneous rate of change (IROC) of W (d) when DDX has tracked downloads...

  

Transcribed Image Text:

(a) Find the instantaneous rate of change (IROC) of W (d) when DDX has tracked downloads for 48 days, then complete the sentence to interpret the value. downloads per day The IROC is days after tracking began, the number of downloads is decreasing at a rate of approximately (b) Find the instantaneous rate of change (IROC) of W (d) when DDX has tracked downloads for 20 days, then complete the sentence to interpret the value. downloads per day This means that The IROC is This means that days after tracking began, the number of downloads is increasing On the 10th day of tracking, the number of downloads maximum ✓ At both times, the IROC was (d) The domain of W (d) is (c) Type d = 10 into the input box. Then type d = 44 into the input box. In each case, make note of the coordinates of point P and the slope of tangent line T. Then, use this information to complete the following sentences. (e) The range of W (d) is This means that the data displayed in the applet above starts was at a minimum downloads per day ✓at a rate of approximately (use interval notation). Complete the following sentence to interpret. day This means that while DDX was tracking, the song reached a maximum of downloads per day downloads per day When DDX had been tracking for 44 days, the number of downloads ✓after the study began and concludes with data after days (use interval notation). Complete the following sentences to interpret. Round to the nearest whole number in the interpretation (not in the interval). downloads in a day. The minimum number of daily downloads was ✓ was at a d -5 3000 W 2500 2000 1500 1000 500 0 -500 5 A 10 d = 13.4 P 15 T 20 P = (13.4, 681.6) 25 30 35 Slope Of T = 31.2 40 B 45 W (d) 50 55 (2 60 DDX is a music streaming provider that is tracking the number of daily downloads of the new hit song My AROC Has A Limit. The model W (d) gives the number of daily downloads of the new song d days after the song was added to their platform. Observe that in the applet above, there is a tangent line T attached to graph of W (d) at point P. You can drag point P along the graph or position it with the input box for d. Observe that the coordinates for point P and the slope of line T are given. (a) Find the instantaneous rate of change (IROC) of W (d) when DDX has tracked downloads for 48 days, then complete the sentence to interpret the value. downloads per day The IROC is days after tracking began, the number of downloads is decreasing at a rate of approximately (b) Find the instantaneous rate of change (IROC) of W (d) when DDX has tracked downloads for 20 days, then complete the sentence to interpret the value. downloads per day This means that The IROC is This means that days after tracking began, the number of downloads is increasing On the 10th day of tracking, the number of downloads maximum ✓ At both times, the IROC was (d) The domain of W (d) is (c) Type d = 10 into the input box. Then type d = 44 into the input box. In each case, make note of the coordinates of point P and the slope of tangent line T. Then, use this information to complete the following sentences. (e) The range of W (d) is This means that the data displayed in the applet above starts was at a minimum downloads per day ✓at a rate of approximately (use interval notation). Complete the following sentence to interpret. day This means that while DDX was tracking, the song reached a maximum of downloads per day downloads per day When DDX had been tracking for 44 days, the number of downloads ✓after the study began and concludes with data after days (use interval notation). Complete the following sentences to interpret. Round to the nearest whole number in the interpretation (not in the interval). downloads in a day. The minimum number of daily downloads was ✓ was at a d -5 3000 W 2500 2000 1500 1000 500 0 -500 5 A 10 d = 13.4 P 15 T 20 P = (13.4, 681.6) 25 30 35 Slope Of T = 31.2 40 B 45 W (d) 50 55 (2 60 DDX is a music streaming provider that is tracking the number of daily downloads of the new hit song My AROC Has A Limit. The model W (d) gives the number of daily downloads of the new song d days after the song was added to their platform. Observe that in the applet above, there is a tangent line T attached to graph of W (d) at point P. You can drag point P along the graph or position it with the input box for d. Observe that the coordinates for point P and the slope of line T are given.

Answer rating: 100% (QA)

a To find the instantaneous rate of change IROC of Wd when DDX has tracked downloads for 48 days we ... View the full answer