Find the arc length of the graph from A to B. f(z) = z²% +4. 244 22 20 18 16 12 10 6 (1,5) 42 O(√10-13√13) O(80√10-13√/13) O(80√10-13√/13) O(√10-13√13) B
Find the arc length of the graph from A to B. f(z) = z²% +4. 244 22 20 18 16 12 10 6 (1,5) 42 O(√10-13√13) O(80√10-13√/13) O(80√10-13√/13) O(√10-13√13) B
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:**
Find the arc length of the graph from A to B.
\[ f(x) = x^{3/5} + 4 \]
**Graph Description:**
The graph represents the function \( f(x) = x^{3/5} + 4 \). It is a curve starting at point A with coordinates \( (1, 5) \) and ending at point B with coordinates \( (4, 12) \).
- The x-axis ranges from 0 to 5.
- The y-axis ranges from 0 to 24.
- The curve ascends smoothly from point A to point B.
**Multiple Choice Options:**
- \( \frac{1}{54} (\sqrt{10} - 13 \sqrt{13}) \)
- \( \frac{1}{27} (80 \sqrt{10} - 13 \sqrt{13}) \)
- \( \frac{1}{54} (80 \sqrt{10} - 13 \sqrt{13}) \)
- \( \frac{1}{27} (\sqrt{10} - 13 \sqrt{13}) \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3cf874b-7a7b-478f-a7b8-421442e72224%2Fc8d26d10-e7d1-4409-9cbc-314e08c85ea6%2Foq1qjfp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the arc length of the graph from A to B.
\[ f(x) = x^{3/5} + 4 \]
**Graph Description:**
The graph represents the function \( f(x) = x^{3/5} + 4 \). It is a curve starting at point A with coordinates \( (1, 5) \) and ending at point B with coordinates \( (4, 12) \).
- The x-axis ranges from 0 to 5.
- The y-axis ranges from 0 to 24.
- The curve ascends smoothly from point A to point B.
**Multiple Choice Options:**
- \( \frac{1}{54} (\sqrt{10} - 13 \sqrt{13}) \)
- \( \frac{1}{27} (80 \sqrt{10} - 13 \sqrt{13}) \)
- \( \frac{1}{54} (80 \sqrt{10} - 13 \sqrt{13}) \)
- \( \frac{1}{27} (\sqrt{10} - 13 \sqrt{13}) \)
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