Questions: Approximate the number using a calculator. e^1.4 e^1.4 ≈ (Round to three decimal places.)

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.)
failed

Solution

failed
failed

Solution Steps

To approximate the number \( e^{1.4} \), 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 \( e^{1.4} \)

To approximate the value of \( e^{1.4} \), 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: \[ e^{1.4} \approx 4.055 \]

Final Answer

The approximate value of \( e^{1.4} \) is \\(\boxed{4.055}\\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful