Question

Find the logistic function f with the given properties. [HINT: First find A, then substitute.] f has limiting value 3 and passes through (0, 1) and (1, 2).

Name: find the logistic function f with the given properties hint first find a then substitute f has limiting value 3 and passes through 0 1 and 1 2 i really do not understand how to go about solv 92763
Uploaded: 2023-07-02T04:36:31-08:00
Duration: 2 min 20 s
Channel: Adi S
Description: find the logistic function f with the given properties hint first find a then substitute f has limiting value 3 and passes through 0 1 and 1 2 i really do not understand how to go about solv 92763

          Find the logistic function f with the given properties.
[HINT: First find A, then substitute.]
f has limiting value 3 and passes through (0, 1) and (1, 2).

Added by Kevin C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/02/2023

Step 1

We are given that the limiting value is $3$, so we have: $$f(x) = 3 \cdot \frac{1}{1 + Ae^{-kx}}$$ Now, we are given two points that the function passes through: $(0, 1)$ and $(1, 2)$. Let's plug these points into the function and create two equations. For Show more…

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Find the logistic function f with the given properties. [HINT: First find A, then substitute.] f has limiting value 3 and passes through (0, 1) and (1, 2).