5. Let m(t) = (t + 2)²(t – 3)*. Use the procedure to find the absolute maximum and minimum values on the interval [-2,4] and where they occur. Suggestion: do not multiply out. Suggestion: factor the derivative completely before setting to zero.
5. Let m(t) = (t + 2)²(t – 3)*. Use the procedure to find the absolute maximum and minimum values on the interval [-2,4] and where they occur. Suggestion: do not multiply out. Suggestion: factor the derivative completely before setting to zero.
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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Question 5
![**Problem 5**
Let \( m(t) = (t + 2)^2 (t - 3)^4 \). Use the procedure to find the absolute maximum and minimum values on the interval \([-2, 4]\) and where they occur.
**Suggestions:**
- Do not multiply out the expression.
- Factor the derivative completely before setting to zero.
**Instructions:**
1. Find the derivative \( m'(t) \).
2. Factor the derivative completely.
3. Solve \( m'(t) = 0 \) to find critical points.
4. Evaluate \( m(t) \) at the critical points and endpoints of the interval \([-2, 4]\).
5. Determine the absolute maximum and minimum values and their locations on the interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff41b80da-c327-4960-85a3-4b9f1b2a9a75%2F51b7d9b2-1f71-42f4-b4a3-34dc6884b7e0%2Flpkaf9i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 5**
Let \( m(t) = (t + 2)^2 (t - 3)^4 \). Use the procedure to find the absolute maximum and minimum values on the interval \([-2, 4]\) and where they occur.
**Suggestions:**
- Do not multiply out the expression.
- Factor the derivative completely before setting to zero.
**Instructions:**
1. Find the derivative \( m'(t) \).
2. Factor the derivative completely.
3. Solve \( m'(t) = 0 \) to find critical points.
4. Evaluate \( m(t) \) at the critical points and endpoints of the interval \([-2, 4]\).
5. Determine the absolute maximum and minimum values and their locations on the interval.
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