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11.04 30 79 ot the data on Geogebra. Just enter the points as coordinates, for example (0,1.5). the points look like some sort of exponential function? You may need to zoom out.

11.04 30 79 ot the data on Geogebra. Just enter the points as coordinates, for example (0,1.5). the points look like some sort of exponential function? You may need to zoom out.

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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Question 3. Exponential functions can be used to model certain situations. For example, suppose you have the following data. 1 3 4 y 1.5 4.07 11.04 30 79 Part A. Plot the data on Geogebra. Just enter the points as coordinates, for example (0,1.5). Part B. Do the points look like some sort of exponential function? You may need to zoom out. Part C. Let's try to create a function that models the data. Let's suppose it looks like f(x) = a · b* . Find a and b by solving the system of equations fitting the function with the data points (0,1.5) and (1,4.07) In other words, solve f(0) = 1.5 and f(1) = 4.07. HINT: THINK OF WHEN WE DID THE MODELING PROBLEM WITH EXPONENTIAL DECAY Part D. Plot your function. Is it a 100% match to the data? Why might there be error?
Transcribed Image Text:Question 3. Exponential functions can be used to model certain situations. For example, suppose you have the following data. 1 3 4 y 1.5 4.07 11.04 30 79 Part A. Plot the data on Geogebra. Just enter the points as coordinates, for example (0,1.5). Part B. Do the points look like some sort of exponential function? You may need to zoom out. Part C. Let's try to create a function that models the data. Let's suppose it looks like f(x) = a · b* . Find a and b by solving the system of equations fitting the function with the data points (0,1.5) and (1,4.07) In other words, solve f(0) = 1.5 and f(1) = 4.07. HINT: THINK OF WHEN WE DID THE MODELING PROBLEM WITH EXPONENTIAL DECAY Part D. Plot your function. Is it a 100% match to the data? Why might there be error?
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