Find all critical points of the function f(x) = 2x³ - 14x² + 11x on the interval [0,7). (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. If the function does not have any critical points, enter DNE.) critical points: Find the extreme values of the function f on the interval [0, 7]. (Use decimal notation. Give your answers to three decimal places.) Smin = max= -52.597 2.300 14-√130 14+ √/130 6 Incorrect
Find all critical points of the function f(x) = 2x³ - 14x² + 11x on the interval [0,7). (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. If the function does not have any critical points, enter DNE.) critical points: Find the extreme values of the function f on the interval [0, 7]. (Use decimal notation. Give your answers to three decimal places.) Smin = max= -52.597 2.300 14-√130 14+ √/130 6 Incorrect
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Help! please help answer this calculus question:
*Note that the critical point and F-minimum is correct. It's just the F-max I need help solving. I have attached the question be
![**Critical Points and Extreme Values of a Function**
**Find all critical points of the function** \( f(x) = 2x^3 - 14x^2 + 11x \) **on the interval** \([0, 7]\).
(Use symbolic notation and fractions where needed. Give your answer in the form of a comma-separated list. If the function does not have any critical points, enter DNE.)
**Critical points:**
\[
\frac{14 - \sqrt{130}}{6}, \quad \frac{14 + \sqrt{130}}{6}
\]
---
**Find the extreme values of the function** \( f \) **on the interval** \([0, 7]\).
(Use decimal notation. Give your answers to three decimal places.)
\[ f_{\text{min}} = -52.597 \]
\[ f_{\text{max}} = 2.300 \]
*Note:* The solution for \( f_{\text{max}} \) is marked as incorrect.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5c5b462-e5a2-4c1c-9c45-1707b5796920%2F75226e03-4cb3-434a-ae7d-d5b483d9750e%2Fpeu5tzx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Critical Points and Extreme Values of a Function**
**Find all critical points of the function** \( f(x) = 2x^3 - 14x^2 + 11x \) **on the interval** \([0, 7]\).
(Use symbolic notation and fractions where needed. Give your answer in the form of a comma-separated list. If the function does not have any critical points, enter DNE.)
**Critical points:**
\[
\frac{14 - \sqrt{130}}{6}, \quad \frac{14 + \sqrt{130}}{6}
\]
---
**Find the extreme values of the function** \( f \) **on the interval** \([0, 7]\).
(Use decimal notation. Give your answers to three decimal places.)
\[ f_{\text{min}} = -52.597 \]
\[ f_{\text{max}} = 2.300 \]
*Note:* The solution for \( f_{\text{max}} \) is marked as incorrect.
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