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.)
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Solution

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Solution Steps

To approximate the number e1.4 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 e1.4 e^{1.4}

To approximate the value of e1.4 e^{1.4} , we compute the exponential function at 1.4 1.4 . The result is approximately 4.0551999668446745 4.0551999668446745 .

Step 2: Round the Result

Next, we round the computed value to three decimal places. Thus, we have: e1.44.055 e^{1.4} \approx 4.055

Final Answer

The approximate value of e1.4 e^{1.4} is \\(\boxed{4.055}\\).

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