it Edge Student/PlayerTest.aspx?testid=249223969¢erwin-yes S CALCULUS Rajni Joshi Quiz Question 34 of 34 This quiz: 34 point(s) possible This question: 1 point(s) possib 20812 K The total cumulative sales S (in thousands) of a DVD movie is given by S(t) = 1 2 + 108 where t is the number of months after its release. Use the formula to answer the questions. a. Find: lim s(t) = AS(1) 1-+00 200 Interpret what the limit means in terms of sales of DVDs. Select the correct choice below and, if necessary, fill in the answer box to complete 150- your choice. 100- O A. After months total sales will flatten. O B. Total sales will eventually be zero. 60- O C. Total sales will climb higher and higher. O D. After time passes, the total sales will 20 40 60 80 100 continue to increase, but approach an Q Search P ho 10 16 18 19 144 % &osoft Edge m/Student/PlayerTest.aspx?testld=249223969¢erwin=yes ESS CALCULUS Rajni Joshi 04 2 Quiz Question 34 of 34 This quiz: 34 point(s) possible This question: 1 point(s) possible K 20812 The total cumulative sales S (in thousands) of a DVD movie is given by S(t) = 1 2 + 108 where t is the number of months after its release. Use the formula to answer the questions. d. Find the value of t for which the derivative AS(1) and S'(1) S'(t) is maximum. Confirm with the table 200 feature of your graphing calculator. Then answer the following. (Hint: Use the table to find these values.) s'(t) is maximum at tmax - (Type a whole number.) 100 Q Search yayIt Edge student/PlayerTest.aspx?testld =249223969¢erwin=yes S CALCULUS Rajni Joshi 04/ Quiz Question 34 of 34 > This quiz: 34 point(s) possible This question: 1 point(s) possible 20812 The total cumulative sales S (in thousands) of a DVD movie is given by S(1) = +2 + 108 Complete: S(tmax) = S' (tmax) - e. At what month are total sales increasing the fastest? What is the sales rate? Sales are increasing the fastest at t= |months at a rate of |thousand DVD's per month. f. Using the formulas, we can find that S(18) = 156 and S'(18) = 4.333. What do the values S(18) = 156 and S'(18) = 4.333 indicate? A. After 18 months the total sales are 156 DVD's and the sales are increasing at the rate of 4.333 DVD's per month. O B. After 18 months the total sales are 4,333 DVD's and the sales are increasing at the rate of 156,000 DVD's per month. O C. After 18 months, the total sales are 156,000 DVD's and the sales are increasing at the rate of 4,333 DVD's per month. O D. After 18 months, the total sales are 156,000 DVD's and the sales are increasing at the rate of 4.333 DVD's per month. P Q Search 44 18 144Question 34 of 34 This quiz: '1 This questi 208i2 2 The total cumulative sales 8 {in thousands) of a DVD movie is given by 8U) = , t + 108 _ where t is the number of months after its release. Use the formula to answer the questions. h. A graph of the derivative S'(t) is shown. "fake the derivative of S(t) to find the formula of S'{t) and then graph S'(t) in your graping calculator. Use the table feature of your graphing Calcufator to nd an appropriate window. S'rt)=[:] This question: 1 pomlm W?- n . 208t2 '6 The total cumulative sales S (in thousands) of a DVD movie is given by S(t)= t2+1081 . where t is the number of months after its release. Use the formula to answer the questions, c. Find: lim 8 ' (t): tmo Interpret what the limit means in terms of sales of DVDs. Choose the correct answer below, After time passes, the rate at which the total sales will increase will become smaller and smaller until, eventually, no new sales will occur. Total accumulated sales will increase more and more without bound. After a long period of time the total sales drop, People will return the DVD and demand their money back 000 .0 .0 F" .> Total accumulated sales will eventually be zero, 0 (I. Find the value of t for which the derivative tsm and so; __ 7 _ 0' -1". 1- a