The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.02t° + C +0.8t + 8t + 6. (A) Find S'(t). (B) Find S(3) and S'(3) (to two decimal places). (C) Interpret S(11) = 217.42 and S'(11) = 32.86. C..... (A) S'(t) = (B) S(3) = S'(3) = (C) Choose the correct interpretation of S(11) = 217.42. O A. In approximately 217 months the sales will be $11 million dollars. OB. The total sales 11 months from now will be $217.42 million dollars. OC. In approximately 217 months the sales will be increasing by $11 million per month. O D. In 11 months the sales will be increasing at a rate of $217.42 million per month. Choose the correct interpretation of S'(11) = 32.86. O A. In approximately 33 months the sales will be increasing by $11 million per month. O B. In 11 months the sales will be increasing at a rate of $32.86 million per month. O C. In approximately 33 months the sales will be $11 million dollars. O D. The total sales 11 months from now will be $32.86 million dollars.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.02t° + 0.8t + 8t + 6.
(A) Find S'(t).
(B) Find S(3) and S'(3) (to two decimal places).
(C) Interpret S(11) = 217.42 and S'(11) = 32.86.
(A) S'(t)=
(B) S(3) =
S'(3) =
(C) Choose the correct interpretation of S(11) = 217.42.
O A. In approximately 217 months the sales will
$11 million dollars.
O B. The total sales 11 months from now will be $217.42 million dollars.
OC. In approximately 217 months the sales will be increasing by $11
per month.
O D. In 11 months the sales will be increasing at a rate of $217.42 million per month.
Choose the correct interpretation of S'(11) = 32.86.
A. In approximately 33 months the sales will be increasing by $11 million per month.
O B. In 11 months the sales will be increasing at a rate of $32.86 million per month.
O C. In approximately 33 months the sales will be $11 million dollars.
O D. The total sales 11 months from now will be $32.86 million dollars.
Transcribed Image Text:The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.02t° + 0.8t + 8t + 6. (A) Find S'(t). (B) Find S(3) and S'(3) (to two decimal places). (C) Interpret S(11) = 217.42 and S'(11) = 32.86. (A) S'(t)= (B) S(3) = S'(3) = (C) Choose the correct interpretation of S(11) = 217.42. O A. In approximately 217 months the sales will $11 million dollars. O B. The total sales 11 months from now will be $217.42 million dollars. OC. In approximately 217 months the sales will be increasing by $11 per month. O D. In 11 months the sales will be increasing at a rate of $217.42 million per month. Choose the correct interpretation of S'(11) = 32.86. A. In approximately 33 months the sales will be increasing by $11 million per month. O B. In 11 months the sales will be increasing at a rate of $32.86 million per month. O C. In approximately 33 months the sales will be $11 million dollars. O D. The total sales 11 months from now will be $32.86 million dollars.
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