Table of contents

0. Functions4h 53m
1. Limits and Continuity2h 2m
2. Intro to Derivatives1h 33m
3. Techniques of Differentiation2h 18m
4. Derivatives of Exponential & Logarithmic Functions1h 16m
- Derivatives of Exponential & Logarithmic Functions
  1h 16m
5. Applications of Derivatives2h 19m
6. Graphical Applications of Derivatives6h 0m
7. Antiderivatives & Indefinite Integrals48m
- Antiderivatives
  17m
- Indefinite Integrals
  31m
8. Definite Integrals4h 36m
9. Graphical Applications of Integrals1h 43m
- Area Between Curves
  1h 19m
- Introduction to Volume & Disk Method
  23m
10. Integrals of Inverse, Exponential, & Logarithmic Functions21m
- Integrals of Exponential Functions
  14m
- Integrals Involving Logarithmic Functions
  7m
11. Techniques of Integration2h 7m
- Integration by Parts
  1h 37m
- Improper Integrals
  29m
12. Trigonometric Functions6h 54m
13: Intro to Differential Equations2h 23m
14. Sequences & Series2h 8m
15. Power Series2h 19m
- Power Series & Taylor Series
  2h 19m
16. Probability & Calculus45m
- Continuous Probability Models
  45m

0. Functions

Introduction to Functions

Business Calculus

0. Functions

Introduction to Functions

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Multiple Choice

According to Little's Law, which of the following equations correctly relates the average number of items (L) in a system, the average arrival rate (λ), and the average time an item spends in the system (W)?

L = λ + W

L = W/λ

L = λ/W

L = λW

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Verified step by step guidance

Understand the context of Little's Law: It is a fundamental principle in queuing theory that relates the average number of items in a system (L), the average arrival rate (λ), and the average time an item spends in the system (W).

Recall the formula for Little's Law: L = λW. This equation states that the average number of items in the system is equal to the product of the average arrival rate and the average time an item spends in the system.

Analyze the given options: Compare each option to the correct formula L = λW. The first option, L = λ + W, is incorrect because it adds the arrival rate and time instead of multiplying them. The second option, L = W/λ, is also incorrect because it divides time by the arrival rate. The third option, L = λ/W, is incorrect because it divides the arrival rate by time.

Confirm the correct answer: The only equation that matches the correct formula of Little's Law is L = λW.

Conclude that the correct relationship between the variables is L = λW, as it aligns with the principles of Little's Law.