1. Do both parts a) and b). a) Set up but do not evaluate an integral to find the arc length of the curve T y sin x from x = 0 to x== 2 b) Set up but do not evaluate an integral to find the area of the top half of a circle of radius r. .

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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Please use just calculus II

## Problem 11

**Do both parts a) and b):**

#### a) 
**Set up but do not evaluate** an integral to find the arc length of the curve 

\[ y = \sin x \quad \text{from} \quad x = 0 \quad \text{to} \quad x = \frac{\pi}{2}. \]

---

#### b)
**Set up but do not evaluate** an integral to find the area of the top half of a circle of radius \( r \).
Transcribed Image Text:## Problem 11 **Do both parts a) and b):** #### a) **Set up but do not evaluate** an integral to find the arc length of the curve \[ y = \sin x \quad \text{from} \quad x = 0 \quad \text{to} \quad x = \frac{\pi}{2}. \] --- #### b) **Set up but do not evaluate** an integral to find the area of the top half of a circle of radius \( r \).
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