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9-1. Find the total area of the regions enclosed by the given curves: (a) r y2 and r y+2 (d) y = rV1- r and %3D

9-1. Find the total area of the regions enclosed by the given curves: (a) r y2 and r y+2 (d) y = rV1- r and %3D

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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9-1 part(a), answer is 9/2, pls explain steps

(a) 88 S()) dq = 24-2q dq = 84. 3 9.4 Exercises 9-1. Find the total area of the regions enclosed by the given curves: (a) z = y and r = y + 2 (d) y = rV1 - x² and y = r-r (b) z = y? and z + 2y2 = 3 3z (e) y=e, y = e ", and r = 1 (f) y = 2", y = 5", and r (c) y= x- x² and y 1– 2² = 1 9-2. Find the total area between the given curves: (b) y² – x = 2, x – el = 0, y = ±1 2. (a) y- 4x 3 and 4r - y = 3 9-3. Find the number e such that y = e divides the region bounded by y = x and y = 4 into two subregions of equal area. 9-4. Find a positive, continuous function f such that the area between the r-axis and the graph of f between 0 and r is exactly A(r) et. 9-5. Find the area of the triangles with vertices: (b) (–2,5), (0, –3), (5, 2) (a) (0,0), (1,8), (4, 3) 9-6. Solve the following improper integrals: (d) J10 1. de IInr (a)/ 3- dr (e)/ e-l2 dr dr (b)/ -5x dar Canon U PDF Editor LC Litilib 8.
Transcribed Image Text:(a) 88 S()) dq = 24-2q dq = 84. 3 9.4 Exercises 9-1. Find the total area of the regions enclosed by the given curves: (a) z = y and r = y + 2 (d) y = rV1 - x² and y = r-r (b) z = y? and z + 2y2 = 3 3z (e) y=e, y = e ", and r = 1 (f) y = 2", y = 5", and r (c) y= x- x² and y 1– 2² = 1 9-2. Find the total area between the given curves: (b) y² – x = 2, x – el = 0, y = ±1 2. (a) y- 4x 3 and 4r - y = 3 9-3. Find the number e such that y = e divides the region bounded by y = x and y = 4 into two subregions of equal area. 9-4. Find a positive, continuous function f such that the area between the r-axis and the graph of f between 0 and r is exactly A(r) et. 9-5. Find the area of the triangles with vertices: (b) (–2,5), (0, –3), (5, 2) (a) (0,0), (1,8), (4, 3) 9-6. Solve the following improper integrals: (d) J10 1. de IInr (a)/ 3- dr (e)/ e-l2 dr dr (b)/ -5x dar Canon U PDF Editor LC Litilib 8.
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