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1. The equation x² + y² = 1 describes a circle of radius 1. Solving for y, we get y = √1-x². (a) Explain why y = √1- x² gives only the top half of the circle. L (b) Thinking about area, what should √1-x² dx equal?

1. The equation x² + y² = 1 describes a circle of radius 1. Solving for y, we get y = √1-x². (a) Explain why y = √1- x² gives only the top half of the circle. L (b) Thinking about area, what should √1-x² dx equal?

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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1. The equation x² + y² = 1 describes a circle of radius 1. Solving for y, we get y = √√1 – x². (a) Explain why y √1- x² gives only the top half of the circle. = (b) Thinking about area, what should [√1 - x² da equal? -1
Transcribed Image Text:1. The equation x² + y² = 1 describes a circle of radius 1. Solving for y, we get y = √√1 – x². (a) Explain why y √1- x² gives only the top half of the circle. = (b) Thinking about area, what should [√1 - x² da equal? -1
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