Please show all the steps necessary to complete the assignments. please do not use shortcuts. I'm trying to see where I'm committing mistakes and i can't see where I'm committing mistakes if I don't see the procedures. Thank you so much.

3. (8 pts.}.ll At the beginning of 2020, the manufacturers of a country were operating at T? percent of their capacity_.__lf 3' months after the beginning of 2020 the industries operate at 11:] = T? + Zia\"mm percent of their capacity, use Calculus to nd when they will be operating at their highest capacity:__ Interpret your answer in a complete sentence in the context of the problem. 4. (8 pts.j.ll The number of people PU] {in hundreds} who have heard a rumor in a large company r days after the rumor is started is approximated by PmJU LN(0.19:+1] _ 0.19r+1 When will the number of people hearing the rumor for the rst time start to decline2___Write your answer in a complete sentence. ll'l