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The logistics equation (also known as VerhusIt's Equation) is given by f(x) = L 1+e-*(*+*) ● L is the maximum value of the curve •k is the logistic growth rate • is the initial condition Create an Excel spreadsheet to calculate values of f for 0 ≤ x ≤ 15 seconds, with increments of 0.5. Graph the results. All constants must reside in a named cell and referenced by name. The values for L, k and xo are arbitrary, so use any combination to test your spreadsheet.

The logistics equation (also known as VerhusIt's Equation) is given by f(x) = L 1+e-*(*+*) ● L is the maximum value of the curve •k is the logistic growth rate • is the initial condition Create an Excel spreadsheet to calculate values of f for 0 ≤ x ≤ 15 seconds, with increments of 0.5. Graph the results. All constants must reside in a named cell and referenced by name. The values for L, k and xo are arbitrary, so use any combination to test your spreadsheet.

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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The logistics equation (also known as Verhuslt's Equation) is given by ƒ(x) = L 1+e-(+) • L is the maximum value of the curve ● k is the logistic growth rate o is the initial condition Create an Excel spreadsheet to calculate values of f for 0 ≤ x ≤ 15 seconds, with increments of 0.5. Graph the results. All constants must reside in a named cell and referenced by name. The values for L, k and ïå are arbitrary, so use any combination to test your spreadsheet.
Transcribed Image Text:The logistics equation (also known as Verhuslt's Equation) is given by ƒ(x) = L 1+e-(+) • L is the maximum value of the curve ● k is the logistic growth rate o is the initial condition Create an Excel spreadsheet to calculate values of f for 0 ≤ x ≤ 15 seconds, with increments of 0.5. Graph the results. All constants must reside in a named cell and referenced by name. The values for L, k and ïå are arbitrary, so use any combination to test your spreadsheet.
Expert Solution
Step 1: Description of given data:

The logistic equation

f left parenthesis x right parenthesis equals fraction numerator L over denominator 1 plus e to the power of negative k open parentheses x subscript 0 plus x close parentheses end exponent end fraction

where L is the maximum value of the curve,

k is the logistic growth rate

and x subscript 0 is initial condition.

We have to draw the logistic curve for 0 less or equal than x less or equal than 15 with an increment of 0.5.

we are free to assume L, k, and x subscript 0.

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