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Let C be the curve y=x for -1 ≤x≤ 3, Evaluate [8xds с 3 A. 3 (17 ³ - 5 ² ) 1₁ B.3 (37 ² - 5*) c. ²² (5 + + 25 ²³ ) C. 3 D. (37 * - 5*) 2 3

Let C be the curve y=x for -1 ≤x≤ 3, Evaluate [8xds с 3 A. 3 (17 ³ - 5 ² ) 1₁ B.3 (37 ² - 5*) c. ²² (5 + + 25 ²³ ) C. 3 D. (37 * - 5*) 2 3

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:** Let \( C \) be the curve \( y = x^2 \) for \( -1 \leq x \leq 3 \). Evaluate \(\int_C 8\, dx\). **Options:** - A. \(\frac{8}{3} (17^{\frac{3}{2}} - 5^{\frac{3}{2}})\) - B. \(\frac{8}{3} (37^{\frac{3}{2}} - 5^{\frac{3}{2}})\) - C. \(\frac{8}{3} (5^{\frac{3}{2}} + 25^{\frac{3}{2}})\) - D. \(\frac{8}{3} (37^{\frac{3}{2}} - 5^{\frac{3}{2}})\)
Transcribed Image Text:**Problem Statement:** Let \( C \) be the curve \( y = x^2 \) for \( -1 \leq x \leq 3 \). Evaluate \(\int_C 8\, dx\). **Options:** - A. \(\frac{8}{3} (17^{\frac{3}{2}} - 5^{\frac{3}{2}})\) - B. \(\frac{8}{3} (37^{\frac{3}{2}} - 5^{\frac{3}{2}})\) - C. \(\frac{8}{3} (5^{\frac{3}{2}} + 25^{\frac{3}{2}})\) - D. \(\frac{8}{3} (37^{\frac{3}{2}} - 5^{\frac{3}{2}})\)
Expert Solution
Step 1: Define the problem.

Let C be the curve straight y equals straight x squared space for space minus 1 less or equal than straight x less or equal than 3.

To evaluate integral subscript straight C 8 straight x space ds.

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