Question

The sales of a new high-tech item (in thousands) are given by S(t) = 106 - 100 e ^ -0.2t where t represents time in years. Find the rate of change of sales at each time. a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d.) Does the rate of change of sales ever equal zero? a. The rate of change after 1 year is thousand items per year. (Round to three decimal places as needed.)

          The sales of a new high-tech item (in thousands) are given by
S(t) = 106 - 100 e ^ -0.2t
where t represents time in years. Find the rate of change of sales at each time.
a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d.) Does the rate of change of sales ever equal zero?
a. The rate of change after 1 year is thousand items per year.
(Round to three decimal places as needed.)

The sales of a new high-tech item (in thousands) are given by
S(t) = 106 - 100 e ^ -0.2t
where t represents time in years. Find the rate of change of sales at each time.
a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d.) Does the rate of change of sales ever equal zero?
a. The rate of change after 1 year is thousand items per year.
(Round to three decimal places as needed.)

Added by Alison Z.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Andrew Noble

04/28/2022

Step 1

) The rate of change of sales at any time t is given by the derivative of the sales function S(t). So, we need to find the derivative of S(t) = 106100e^0.2t. Using the chain rule, the derivative of e^0.2t is e^0.2t * 0.2. Show more…

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The sales of a new high-tech item (in thousands) are given by S(t) = 106 - 100 e ^ -0.2t where t represents time in years. Find the rate of change of sales at each time. a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d.) Does the rate of change of sales ever equal zero? a. The rate of change after 1 year is thousand items per year. (Round to three decimal places as needed.)