23, 2:52 PM The position in feet of a race car along a straight track after t seconds is modeled by the function (t) = 5t² +4. Find the average velocity of the vehicle over the following time intervals: [2,2.1 2,2.01], [2,2.001], and [2,2.0001]. Use the calculated averages to estimate the instantaneou welocity Vinst of the vehicle at t = 2 seconds. Round each answer in the table to six decimal places, but enter an integer value for Vinst. rovide your answer below: [ 2.1 2.01 2.001 2.0001 Vinst Vave Diferentiation and O
23, 2:52 PM The position in feet of a race car along a straight track after t seconds is modeled by the function (t) = 5t² +4. Find the average velocity of the vehicle over the following time intervals: [2,2.1 2,2.01], [2,2.001], and [2,2.0001]. Use the calculated averages to estimate the instantaneou welocity Vinst of the vehicle at t = 2 seconds. Round each answer in the table to six decimal places, but enter an integer value for Vinst. rovide your answer below: [ 2.1 2.01 2.001 2.0001 Vinst Vave Diferentiation and O
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
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![### Differentiation Rates
The position in feet of a race car along a straight track after \( t \) seconds is modeled by the function \( s(t) = 5t^2 + 4 \). Find the average velocity of the vehicle over the following time intervals: \([2, 2.1]\), \([2, 2.01]\), \([2, 2.001]\), and \([2, 2.0001]\). Use the calculated averages to estimate the instantaneous velocity \( V_{\text{inst}} \) of the vehicle at \( t = 2 \) seconds.
Round each answer in the table to six decimal places, but enter an integer value for \( V_{\text{inst}} \).
Provide your answer below:
| \( t \) | \( v_{\text{ave}} \) |
|-------------|---------------------|
| 2.1 | |
| 2.01 | |
| 2.001 | |
| 2.0001 | |
\( V_{\text{inst}} \approx \)
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Transcribed Image Text:### Differentiation Rates
The position in feet of a race car along a straight track after \( t \) seconds is modeled by the function \( s(t) = 5t^2 + 4 \). Find the average velocity of the vehicle over the following time intervals: \([2, 2.1]\), \([2, 2.01]\), \([2, 2.001]\), and \([2, 2.0001]\). Use the calculated averages to estimate the instantaneous velocity \( V_{\text{inst}} \) of the vehicle at \( t = 2 \) seconds.
Round each answer in the table to six decimal places, but enter an integer value for \( V_{\text{inst}} \).
Provide your answer below:
| \( t \) | \( v_{\text{ave}} \) |
|-------------|---------------------|
| 2.1 | |
| 2.01 | |
| 2.001 | |
| 2.0001 | |
\( V_{\text{inst}} \approx \)
[FEEDBACK] [MORE INSTRUCTION] [SUBMIT]
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