Let y 1 In (x a), y 2 In x, y 3 y 2 y t , and y 4 e y3 (a) Graph y 1 and y 2 for a 2,3, 4, and 5 How are the graphs of y 1 and y 2 related (b) Graph y 3 for a 2,3, 4, and 5 Describe the graphs (c) Graph y 4 for a 2, 3, 4, and 5 Compare the graphs to the graph of y a (d) Use e y3 e y2 y1 a to solve ...

To graph y1 y2 y3 and y4 for different values of a using Python you can use a library such as Matplotlib Here is some example code that demonstrates how to do this import matplotlibpyplot as plt impor ...

Let y 1 = In (x/a), y 2 = In x, y 3 = y 2 -

Question:

Let y₁ = In (x/a), y₂ = In x, y₃ = y₂ - y_t, and y₄ = e^y3.
(a) Graph y₁and y₂ for a = 2,3, 4, and 5. How are the graphs of y₁ and y₂ related?
(b) Graph y₃ for a = 2,3, 4, and 5. Describe the graphs.
(c) Graph y₄ for a = 2, 3, 4, and 5. Compare the graphs to the graph of y = a.
(d) Use e^y3= e^{y2 - y1}= a to solve for y₁.