An automobile company is ready to introduce a new line of cars through a national sales campaign. After t the line in a carefully selected city, the marketing research department estimates that the sales (in millions increase at the monthly rate of the following function for t months after the campaign has started. S'(t) = 18-13 e - 0.1t 0st≤21 ...

An automobile company is ready to introduce a new line of cars through a national sales campaign. After t the line in a carefully selected city, the marketing research department estimates that the sales (in millions increase at the monthly rate of the following function for t months after the campaign has started. S'(t) = 18-13 e - 0.1t 0st≤21 ...

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The follow table shows total dollar sales (in thousands) for a local retailer for various years. Year 2019 2020 2021 2022 2023 Sales ($) 16 21 26 31 36 a) What was the dollar amount of sales for 2022? $ b) By how much did sales increase each year? $ c) Find a linear function S(x) that models the above data, where x is the number of years after 2018 (so that the year 2019 corresponds to x = 1, the year 2020 corresponds to x = 2, and so on) and S(x) is the dollar amount of sales in thousands. S(x) = X + d) Use S(x) to predict sales in 2025. $ If needed, round answer to 5 decimal plates. Enter DNE for Does Not Exist, oo for Infinity Question Help: Message instructor Submit Question thousand thousand thousand
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Getting going in the morning was probably hard for folks on the Overland Trail (just as it may be for you today), so coffee was a highly valued commodity. The Cazneau family starts their journey with a supply of 30 pounds of coffee. When they arrive at Sutter's Fort in California, 188 days later, they have only 3 pounds left. 1. Draw a graph showing the amount of coffee remaining as a function of the time elapsed since the start of the journey. For simplicity, assume the Cazneaus consume coffee at a constant rate. 2. Find the average amount of coffee consumed per day. 3. Develop an equation for the function represented by your graph. Find the slope of your graph. 4. 5. Suppose that at the beginning of their 188-day journey, the Cazneaus are 1600 miles from Sutter's Fort. a. How many miles per day do they travel? For simplicity, assume they travel the same distance each day. b. Of course, as the Cazneaus travel, their distance from Sutter's Fort decreases. Write a formula expressing the…
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Which of the following best describes the function shown below? a. Linear b. Quadratic c. Exponential Growth d. Exponential Decay
I need help with the first four