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Suppose f(x) = 6t²√1+t³ dt. 1) Evaluate f (2). 2) Evaluate f'(2). 3) Evaluate f"(2).

Suppose f(x) = 6t²√1+t³ dt. 1) Evaluate f (2). 2) Evaluate f'(2). 3) Evaluate f"(2).

Calculus: Early Transcendentals
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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### Problem Statement Suppose \( f(x) = \int_{0}^{x} 6t^2 \sqrt{1+t^3} \, dt \). #### Questions 1. **Evaluate \( f(2) \).** - (Solution space provided for working out the problem) 2. **Evaluate \( f'(2) \).** - (Solution space provided for working out the problem) 3. **Evaluate \( f''(2) \).** - (Solution space provided for working out the problem)
Transcribed Image Text:### Problem Statement Suppose \( f(x) = \int_{0}^{x} 6t^2 \sqrt{1+t^3} \, dt \). #### Questions 1. **Evaluate \( f(2) \).** - (Solution space provided for working out the problem) 2. **Evaluate \( f'(2) \).** - (Solution space provided for working out the problem) 3. **Evaluate \( f''(2) \).** - (Solution space provided for working out the problem)
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