Microsoft Edge .com/Student/PlayerTest.aspx?testld=249223969¢erwin=yes INESS CALCULUS Rajni Joshi 12 Quiz Question 34 of 34 This quiz: 34 point(s) possible This question: 1 point(s) possibl K 20812 The total cumulative sales S (in thousands) of a DVD movie is given by S(t) = 1 2 + 108 A where t is the number of months after its release. Use the formula to answer the questions a. Find: lim s(t) = AS(t) 1-+ 0o 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. 50- C. Total sales will climb higher and higher. O D. After time passes, the total sales will 20 40 60 80 100 Q Search hp 16 18 10 144le ent/PlayerTest.aspx?testld=249223969¢erwin=yes LCULUS Question 34 of 34 This qui This que K 20812 The total cumulative sales S (in thousands) of a DVD movie is given by S(t) : 12 + 108 where t is the number of months after its release. Use the formula to answer the questions. b. A graph of the derivative S'(t) is shown. AS'(1) Take 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 calculator to find an appropriate window. s'(1) = c. Find: lim s ' (t) = | | Q Search 80 aQuestion 34 of 34 This quiz: 34 point(s) possible This question: 1 point(s) possible Submit 2081 The total cumulative sales S (in thousands) of a DVD movie is given by S(t) = 14 + 108 where t is the number of months after its release. Use the formula to answer the questions. c. Find: lim s ' (1)= 1-+00 Interpret what the limit means in terms of sales of DVDS. Choose the correct answer below. O) A. After time passes, the rate at which the total sales will increase will become smaller and smaller until, eventually, no new sales will occur. O B. Total accumulated sales will increase more and more without bound. O C. After a long period of time the total sales drop. People will return the DVD and demand their money back. O D. Total accumulated sales will eventually be zero d. Find the value of t for which the derivative AS(1) and S'(t) S'(t) is maximum. Confirm with the table 200- Q SearchThis question: 1 point(s) possible SL 20812 The total cumulative sales S (in thousands) of a DVD movie is given by S(1) = 1 + 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'(1) 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'(1) is maximum at max = (Type a whole number.) 00- a P Q Search hpI fe total cumulative sales s (in thousands) of a DVD movie is given by s() - 14 + 108 where t is the number of months after its release. Use the formula to answer the questions Complete: S(tmax)= S' (max) = 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? O 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 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 a S P Q Search hp1 + 108 where t is the number of months after its release. Use the formula to answer the questions ( 'max) = 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? O 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. () 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. Q) 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 a Q Search hp