Please I can really use some help to find out how to do this problem, i also provide the formula sheet i have to follow to figure it out **Your "Tattoo" Cheat Sheet - Use Often!**---### The Basics- \( x \rightarrow f(x) \rightarrow y \) (y can be \( +, \emptyset, - \))- \( x \rightarrow f'(x) \rightarrow \) Slope (Slope can be \( +, \emptyset, - \)) - \( \emptyset = \) max or min or H.P.I.- \( x \rightarrow f''(x) \rightarrow \) Concavity (Concavity is \( \cup, \emptyset, \cap \)) - \( \emptyset \) is point of inflection**Derivatives:**1. \( y = x^n \) \(\quad y' = nx^{n-1}\)2. \( y = u^n \) \(\quad y' = nu^{n-1}u'\)3. \( y = e^x \) \(\quad y' = ue^uu'\)4. \( y = \ln u \) \(\quad y' = \frac{u'}{u}\) - \( u \) is a function, \( x \) is a variable, \( e \) and \( n \) are constants.**Integrals:**1. \( y = \int x^n dx \rightarrow \frac{x^{n+1}}{n+1} + k, \quad n \neq -1 \)2. \( y = \int u^n dx \rightarrow \frac{u^{n+1}}{n+1} + k, \quad n \neq -1 \)3. \( y = \int e^u dx \rightarrow e^u + k \)4. \( y = \int \frac{u'}{u} dx \rightarrow \ln u + k, \quad n = -1 \)**Steps for Integration:**1. Make it pretty. Which integral?2. Find \( u \); create \( u' \)3. We have ____, we want ____!4. Make it look like the template5. Perform integral**Also:**- \( y = \int ax^n dx = a \int x^n dx \)- \( y = \int (ax^n + bx^m) dx = \int ax^n dx + **Problem 4:**A store finds that its sales decline after their ad campaign ends. The rate at which the daily sales decline is given as \( S'(t) = 225e^{-0.25t} - 210 \), where \( t \) is the number of days since the ads quit running. Suppose that their daily sales are 3700 units at the time the campaign ends (\( t = 0 \)). Find:a. The function that describes the total daily sales, or \( S(t) \).b. What the daily sales will be 7 days after the ads stop running.

Answered: Image /qna-images/answer/8cc870dd-a690-474f-9496-7d18294c71d2.jpg

4. A store finds that its sales decline after their ad campaign ends. The rate at which the daily sales decline is given as S'(t) = 225e-0.25t days since the ads quit running. Suppose that their daily sales are 3700 units at the time the campaign ends (t= 0). Find: a. The function that describes the total daily sales, or S(t). b. What the daily sales will be 7 days after the ads stop running. - 210, wheret is the number of

4. A store finds that its sales decline after their ad campaign ends. The rate at which the daily sales decline is given as S'(t) = 225e-0.25t days since the ads quit running. Suppose that their daily sales are 3700 units at the time the campaign ends (t= 0). Find: a. The function that describes the total daily sales, or S(t). b. What the daily sales will be 7 days after the ads stop running. - 210, wheret is the number of

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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