Question

0.24), where is the time, in months. Complete parts a) through d). The percentage P of doctors who prescribe a certain new medicine is P(1) - 100 (1 - a) Find P(1) and P(6). P(1) = % (Do not round until the final answer. Then round to the nearest percent as needed.) P(6)= % (Do not round until the final answer. Then round to the nearest percent as needed.) b) Find P' (t) P't- c) How many months will it take for 90% of doctors to prescribe the new medicine? After about months, 90% of doctors will prescribe the new medicine. (Do not round until the final answer. Then round to one decimal place as needed) d) Find lim Plt), and discuss its meaning. Im P(t)= % Discuss the meaning of the limit lim P(t). Choose the correct answer below.

Answer 1

-0.246 Plt) = 10011- e zt PO) = 21.337213% 216) = 176.307.224 % b) P'Lt) = 1001 0.0242 -0.244) - 24e-0.246

c) 90= looli- e -0.247) 0.9= le-0.247 e-0.24+ - 01 - 0.246 = ln (0.1) 1. t= ln (0.1) = 19.594104/months. -0.24 1. d) limpit) t-o = lin looli-e-024) t>00 10011-20) 100 > 1001% as t increase , or after long time reaches [100 % Percentence