Kseniya sits down with a large cup of coffee and her computer to write on article about teaching calculus to toddlers which is due tonight. Her un-caffeinated typing speed is 50 words per minute, but coffee can increase this drastically. The total word count of the article is represented by: W(t) = + 50t, where we is the total word count and is time elapsed in minutes. a) Find Wilt). Explain what this value means, W(t) = nh) - w(t) h h -> 0 msttheToR]t'-s h - 0 h = lim the + 50k h - 0 = line A(h + 2t + 50) n -> 0 A = lim n + 2z + 50 = 2t + 50 h - 0 ⑧ WIIt) gives Ksenias words per minute at any given minute, t 3) What will Kseniyas typing speed be when 8 minutes has elapsed when 20 minutes has elapsed ? w(s) = 2 (8) + 50 = 66 upm W(20) = 2 (40) + 50 = 90upm 2) The editor of the article Kseniya is writing requires the article to be 2400 words long. How much time (in minutes) will this take her to write ? What will her typing speed be when she completes the article ? 2400 = t + 50t 0 = 1 + 50t - 2400 (t + 80)(t - 30) : -80,30 we reject. So because Kseniya didn't go back in time ⑬ mins W((30) = 2(30) + 50 = 110 Kseniya finishes writing the article at m