$\text { Find the slope-intercept equation of the line tangent to the graph of } y = e ^ { x } \text { when }$

question 2

Multiple Choice

$\text { Find the slope-intercept equation of the line tangent to the graph of } y = e ^ { x } \text { when }$ $x = \ln 3$

• A) \(y = \ln ( 3 ) x + 3\)
• B) \(y = \ln ( 3 ) x + 3 ( 1 - \ln 3 )\)
• C) \(y = \ln ( 3 ) x - 3\)
• D) \(y = 3 x + 3 ( 1 - \ln 3 )\)
• E) \(y = 3 x - 3 ( 1 - \ln 3 )\)

---

Definitions:

Lead Time

The amount of time that passes from the start of a process until its completion, often used in manufacturing and project planning.

Level Schedules

Production planning method that maintains a consistent output rate or workforce level, avoiding fluctuations in response to changing demand.

Shigeo Shingo

A Japanese industrial engineer known for his influential work in the Toyota Production System and the development of lean manufacturing principles.

Inventory Is Evil

A principle in lean manufacturing and just-in-time (JIT) production that highlights the drawbacks of holding excess inventory, including high costs and potential wastage.