Question

An inferior product with an extensive advertising campaign does well when it is released, but sales decline as people discontinue use of the product. If the sales S (in thousands of dollars) after t weeks are given by \begin{equation} S(t) = \frac{150t}{(t+7)^2}, \quad t \ge 0 \end{equation} what is the rate of change of sales when $t = 8$? (Round your answer to two decimal places.)

          An inferior product with an extensive advertising campaign does well when it is released, but sales decline as people discontinue use of the product. If the sales S (in thousands of dollars) after t weeks are given by
\begin{equation*} S(t) = \frac{150t}{(t+7)^2}, \quad t \ge 0 \end{equation*} what is the rate of change of sales when $t = 8$? (Round your answer to two decimal places.)

An inferior product with an extensive advertising campaign does well when it is released, but sales decline as people discontinue use of the product. If the sales S (in thousands of dollars) after t weeks are given by

S(t) = (150t)/((t+7)^2), t ≥ 0
what is the rate of change of sales when t = 8? (Round your answer to two decimal places.)

Added by Tara H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

02/20/2023

Step 1

To find the derivative of S(t), we need to use the quotient rule. The quotient rule states that if we have a function in the form of f(t)/g(t), then the derivative is (g(t)f'(t) - f(t)g'(t))/(g(t))^2. In this case, S(t) = (150t)/((t+7)^2). Let f(t) = 150t and Show more…

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An inferior product with an extensive advertising campaign does well when it is released, but sales decline as people discontinue use of the product. If the sales S (in thousands of dollars) after t weeks are given by S(t)=(150t)/((t+7)^(2)),t>=0 what is the rate of change of sales when t=8 ? (Round your answer to two decimal places.) An inferior product with an extensive advertising campaign does well when it is released, but sales decline as people discontinue use of the product.If the sales S(in thousands of dollars after t weeks are given by 150t S(t)= to 2(<+a) what is the rate of change of sales when t = 8?(Round your answer to two decimal places.)