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1. Create your own or similar real-life situation where exponential function is applied. 2. In a bond paper, present the problem from Field of application up to Presentation as illustrated above. 3. You can use graphing paper, MS Excel, Desmos or any graphing app to graph the function. You can also use calculators to solve the table of values.

1. Create your own or similar real-life situation where exponential function is applied. 2. In a bond paper, present the problem from Field of application up to Presentation as illustrated above. 3. You can use graphing paper, MS Excel, Desmos or any graphing app to graph the function. You can also use calculators to solve the table of values.

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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There are many ways of applying exponential functions in our lives. Examples of these are population growth, bacterial growth, radioactive decay, medical dosage, and compound interest. An example of its application can be seen below. Field of Application: Compound Interest Situation analysis: Ms. Gomez decided to have an initial deposit to CDO Bank worth P5,000.00 to save for future use. This decision came after an agent of the bank told her that the bank is offering a 5% interest compounded annually. How much would be Ms. Morales' total money in the bank after 5 years? A(t) = P(1+ r)' Use the given formula to find the total amount of money after 5 years. Data manipulation: when t=0, A(0) = P(1 +.05)° = 5000 Presentation: Using a table of values, we have: Table 3 2 5512.50 1 3 4 A(t) This is the graph of the function: 5250.00 5788.13 6077.53 6381.41 Interpretation: The table and the graph show that 6000 my it has an increasing function. Thus, the values increase at certain period of time. It is an exponential growth. Ms. Gomez' money earned P1,181.14 after 5 years in the bank. What 2000 personal values worthy of emulation does Ms. 20 Gomez show in this situation? -20 Now, It's Your Turn 1. Create your own or similar real-life situation where exponential function is applied. 2. In a bond paper, present the problem from Field of application up to Presentation as illustrated above. 3. You can use graphing paper, MS Excel, Desmos or any graphing app to graph the function. You can also use calculators to solve the table of values. 4. Your grade will be according to these criteria: Clarity of Presentation 60%, Organization and Accuracy, 30%, and Applicability to Current Situations, 10% with a total of 100%.
Transcribed Image Text:There are many ways of applying exponential functions in our lives. Examples of these are population growth, bacterial growth, radioactive decay, medical dosage, and compound interest. An example of its application can be seen below. Field of Application: Compound Interest Situation analysis: Ms. Gomez decided to have an initial deposit to CDO Bank worth P5,000.00 to save for future use. This decision came after an agent of the bank told her that the bank is offering a 5% interest compounded annually. How much would be Ms. Morales' total money in the bank after 5 years? A(t) = P(1+ r)' Use the given formula to find the total amount of money after 5 years. Data manipulation: when t=0, A(0) = P(1 +.05)° = 5000 Presentation: Using a table of values, we have: Table 3 2 5512.50 1 3 4 A(t) This is the graph of the function: 5250.00 5788.13 6077.53 6381.41 Interpretation: The table and the graph show that 6000 my it has an increasing function. Thus, the values increase at certain period of time. It is an exponential growth. Ms. Gomez' money earned P1,181.14 after 5 years in the bank. What 2000 personal values worthy of emulation does Ms. 20 Gomez show in this situation? -20 Now, It's Your Turn 1. Create your own or similar real-life situation where exponential function is applied. 2. In a bond paper, present the problem from Field of application up to Presentation as illustrated above. 3. You can use graphing paper, MS Excel, Desmos or any graphing app to graph the function. You can also use calculators to solve the table of values. 4. Your grade will be according to these criteria: Clarity of Presentation 60%, Organization and Accuracy, 30%, and Applicability to Current Situations, 10% with a total of 100%.
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