Question
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Click on the link to watch Applications of e.
Find the applications that use mentioned in the video.
Select all that apply.
A. Force of Gravity on a Bridge
B. Human Population Growth
C. Growth of a nautilus shell
D. Radioactive Decay
E. None of the above

Ask by Warren Jimenez. in the United States
Mar 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The applications that use are:
  • B. Human Population Growth
  • C. Growth of a nautilus shell
  • D. Radioactive Decay

Solution

To determine the applications of mentioned in the video, we can analyze the options provided:
  1. Force of Gravity on a Bridge: This typically involves linear equations and does not directly relate to the mathematical constant .
  2. Human Population Growth: This is often modeled using exponential growth equations, which involve the constant .
  3. Growth of a nautilus shell: The growth of shells can be modeled using logarithmic or exponential functions, which may involve .
  4. Radioactive Decay: This process is commonly modeled using exponential decay equations, which also involve the constant .
Based on this analysis, the applications that use are:
  • B. Human Population Growth
  • C. Growth of a nautilus shell
  • D. Radioactive Decay
Thus, the selected options are:
  • A. Force of Gravity on a Bridge
  • B. Human Population Growth
  • C. Growth of a nautilus shell
  • D. Radioactive Decay
  • E. None of the above

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The Deep Dive

The number , approximately equal to 2.718, is often referred to as Euler’s number and pops up in various applications you’ve likely encountered without realizing it! From finance to natural sciences, it’s pivotal for modeling growth processes such as human population increase and the decay of radioactive substances, both of which follow exponential growth or decay patterns.
When it comes to the nautilus shell, the spiral growth can also be explained by the principles of and logarithmic spirals. However, the force of gravity on a bridge involves different mathematical principles, typically relating to static equilibrium and load distribution. So, buckle up; those fascinating connections between math and the real world are everywhere!

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