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Question 2. Sketch the following regions in the xy-plane. Make sure to shade the region and label the x-axis and y-ax (a) The region enclosed by y = e, y = 1 and x = 2. (b) The region in the first quadrant bounded by x² + y² = 4, y = x and y = √3x. (c) The region that consists of points (x, y) such that −3 ≤ x ≤ 0, 3 ≤ y ≤ 3+√√9−x². (d) The region that consists of points (x, y) such that 1 ≤y≤4, -y≤x≤y.

Question 2. Sketch the following regions in the xy-plane. Make sure to shade the region and label the x-axis and y-ax (a) The region enclosed by y = e, y = 1 and x = 2. (b) The region in the first quadrant bounded by x² + y² = 4, y = x and y = √3x. (c) The region that consists of points (x, y) such that −3 ≤ x ≤ 0, 3 ≤ y ≤ 3+√√9−x². (d) The region that consists of points (x, y) such that 1 ≤y≤4, -y≤x≤y.

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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**Question 2.** Sketch the following regions in the \(\mathbf{xy}\)-plane. Make sure to **shade the region** and label the x-axis and y-axis. 1. **(a)** The region enclosed by \(y = e^{x}, y = 1\) and \(x = 2\). 2. **(b)** The region in the first quadrant bounded by \(x^2 + y^2 = 4\), \(y = x\) and \(y = \sqrt{3}x\). 3. **(c)** The region that consists of points \((x, y)\) such that \(-3 \leq x \leq 0, \quad 3 \leq y \leq 3 + \sqrt{9 - x^2}\). 4. **(d)** The region that consists of points \((x, y)\) such that \(1 \leq y \leq 4, \quad -y \leq x \leq y\).
Transcribed Image Text:**Question 2.** Sketch the following regions in the \(\mathbf{xy}\)-plane. Make sure to **shade the region** and label the x-axis and y-axis. 1. **(a)** The region enclosed by \(y = e^{x}, y = 1\) and \(x = 2\). 2. **(b)** The region in the first quadrant bounded by \(x^2 + y^2 = 4\), \(y = x\) and \(y = \sqrt{3}x\). 3. **(c)** The region that consists of points \((x, y)\) such that \(-3 \leq x \leq 0, \quad 3 \leq y \leq 3 + \sqrt{9 - x^2}\). 4. **(d)** The region that consists of points \((x, y)\) such that \(1 \leq y \leq 4, \quad -y \leq x \leq y\).
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