6. There are two rival companies, Winner's Inc. and Loser's Co.. Winner's Inc.'s net worth is growing at a rate of t² thousand dollars per month (i.e. t is measured in months). Loser's Co. is operating at a loss, and their net worth is decreasing at a rate of thousand dollars per month (that is, it is given by the function). Winner's Inc. and Loser's Co. both start the year with $10,000 in the bank. A. Plot the two rate of profit functions on the same graph. B. How much money does Winner's Inc. have at the end of 12 months? How much does Loser's Co. have? C. After 12 months, how much more money does Winner's Inc. have than Loser's Co.? What quantity on the graph represents this amount? Indicate this on the graph. D. What does the function f(x) = ft² dt compute? What does g(x) = fdt compute? Construct a function that computes the difference of net worth between Winner's Inc. and Loser's Co. as a function of time.
6. There are two rival companies, Winner's Inc. and Loser's Co.. Winner's Inc.'s net worth is growing at a rate of t² thousand dollars per month (i.e. t is measured in months). Loser's Co. is operating at a loss, and their net worth is decreasing at a rate of thousand dollars per month (that is, it is given by the function). Winner's Inc. and Loser's Co. both start the year with $10,000 in the bank. A. Plot the two rate of profit functions on the same graph. B. How much money does Winner's Inc. have at the end of 12 months? How much does Loser's Co. have? C. After 12 months, how much more money does Winner's Inc. have than Loser's Co.? What quantity on the graph represents this amount? Indicate this on the graph. D. What does the function f(x) = ft² dt compute? What does g(x) = fdt compute? Construct a function that computes the difference of net worth between Winner's Inc. and Loser's Co. as a function of time.
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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Transcribed Image Text:6. There are two rival companies, Winner's Inc. and Loser's Co.. Winner's Inc.'s net worth is growing at a rate of —ƒ² thousand dollars per month (i.e. t is
measured in months). Loser's Co. is operating at a loss, and their net worth is decreasing at a rate of thousand dollars per month (that is, it is given by
the function). Winner's Inc. and Loser's Co. both start the year with $10,000 in the bank.
A. Plot the two rate of profit functions on the same graph.
B. How much money does Winner's Inc. have at the end of 12 months? How much does Loser`s Co. have?
C. After 12 months, how much more money does Winner's Inc. have than Loser's Co.? What quantity on the graph represents this amount? Indicate this
on the graph.
D. What does the function f(x)
=
St² dt compute? What does g(x) = Ső dt compute? Construct a function that computes the difference of
net worth between Winner's Inc. and Loser's Co. as a function of time.
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