Questions: Approximate the number using a calculator.
e^1.4
e^1.4 ≈ (Round to three decimal places.)
Transcript text: Approximate the number using a calculator.
\[
e^{1.4}
\]
$e^{1.4} \approx$ $\square$ (Round to three decimal places.)
Solution
Solution Steps
To approximate the number e1.4, we can use Python's math library, which provides a function to calculate the exponential of a given number. We will then round the result to three decimal places.
Step 1: Calculate e1.4
To approximate the value of e1.4, we compute the exponential function at 1.4. The result is approximately 4.0551999668446745.
Step 2: Round the Result
Next, we round the computed value to three decimal places. Thus, we have:
e1.4≈4.055
Final Answer
The approximate value of e1.4 is \\(\boxed{4.055}\\).