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11. Create the function 2(3x), then find the following. Plot at least 4 points.

11. Create the function 2(3x), then find the following. Plot at least 4 points.

Advanced Engineering Mathematics
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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11. Create the function 2(3x), then find the following. Plot at least 4 points. (as an ordered pair) y-intercept domain range asymptote a. Equation b. Answer to the question -6 -4 -2 PO 18H 16 44 112 10 8 6 c) Solve for the remaining amount. 2 I sidsplA 6 12. Jin's investment of $4,500 has been losing its value at a rate of 2.5% each year. What will his investment be worth in 5 years. Remember the growth/decay formulas : y = a(1±r) t (554) a) Explain what the 0.5 represents in the equation and how it was obtained? ee 8 t left after tyears can be modeled by A=p(0.5) ¹4.4 where p is the original amount of the element. 13. A radioactive element's half-life is the time it takes for one half of the element's quantity to decay. The half-life of Putonium-241 is 14.4 years. The number of grams A of Plutonium-241 b) Write the equation to find how much of a 0.2-gram sample remains after 72 years. 10 x 14. The Work-Out Gym sold 550 memberships in 2014. The equation y = 550(1.05) models the membership after tyears. By what percent does the membership change each year? Be sure to state if it's increasing or decreasing. 2
Transcribed Image Text:11. Create the function 2(3x), then find the following. Plot at least 4 points. (as an ordered pair) y-intercept domain range asymptote a. Equation b. Answer to the question -6 -4 -2 PO 18H 16 44 112 10 8 6 c) Solve for the remaining amount. 2 I sidsplA 6 12. Jin's investment of $4,500 has been losing its value at a rate of 2.5% each year. What will his investment be worth in 5 years. Remember the growth/decay formulas : y = a(1±r) t (554) a) Explain what the 0.5 represents in the equation and how it was obtained? ee 8 t left after tyears can be modeled by A=p(0.5) ¹4.4 where p is the original amount of the element. 13. A radioactive element's half-life is the time it takes for one half of the element's quantity to decay. The half-life of Putonium-241 is 14.4 years. The number of grams A of Plutonium-241 b) Write the equation to find how much of a 0.2-gram sample remains after 72 years. 10 x 14. The Work-Out Gym sold 550 memberships in 2014. The equation y = 550(1.05) models the membership after tyears. By what percent does the membership change each year? Be sure to state if it's increasing or decreasing. 2
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