Math Problem Statement
Round to three decimal places
Solution
The given function is:
You are asked to evaluate this at and round the result to three decimal places.
Let's calculate :
First, calculate , so:
Since :
Thus, when rounded to three decimal places.
Let me know if you want more details or have any other questions!
Here are 5 follow-up questions to consider:
- How does the exponential function behave for other values of ?
- What is the significance of the constant in exponential growth?
- How would the graph of this function look for values of between 0 and 20?
- What happens to as approaches infinity?
- How would changing the coefficient affect the growth of the function?
Tip: When dealing with exponential functions, the base represents natural growth processes and has applications in fields like biology, economics, and physics!
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Math Problem Analysis
Mathematical Concepts
Exponential Growth
Natural Exponential Function
Algebra
Formulas
f(x) = a e^{bx}
Theorems
Exponential Growth
Suitable Grade Level
Grades 10-12
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