Math Problem Statement

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Part 1

Approximate the number using a calculator.

e Superscript 2.9e2.9

Question content area bottom

Part 1

e Superscript 2.9 Baseline almost equalse2.9≈enter your response here

​(Round to three decimal​ places.)

Solution

To calculate e2.9e^{2.9}, use the mathematical constant ee, which is approximately 2.71828. We'll compute the value of e2.9e^{2.9} and round it to three decimal places.

Calculation:

e2.92.718282.9e^{2.9} \approx 2.71828^{2.9}

Using a calculator or computational tool: e2.918.174e^{2.9} \approx 18.174

Final Answer:

e2.918.174e^{2.9} \approx 18.174

Would you like to see a step-by-step explanation of this calculation?


5 Related Questions:

  1. How do you compute powers of ee without a calculator?
  2. What is the derivative of exe^x and how is it used in calculus?
  3. How does the value of exe^x change as xx increases?
  4. What is the relationship between exe^x and natural logarithms?
  5. Why is ee considered a fundamental constant in mathematics?

Tip: When working with exponential functions, ensure your calculator is set to handle scientific constants correctly.

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Math Problem Analysis

Mathematical Concepts

Exponential Functions
Mathematical Constants

Formulas

e^x
e ≈ 2.71828

Theorems

Exponential Function Properties

Suitable Grade Level

Grades 10-12