9-1. Find the total area of the regions enclosed by the given curves: (a) x = y2 and x = y+2 (d) y = x/1-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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9-1 part (a) , answer is 9/2

odf
(88 – S(9)) dq = 24 – 2g –
q²
dq = 84.
PS =
[88 – S(g)] dq
24 2q-
9.4 Exercises
9-1. Find the total area of the regions enclosed by the given curves:
(a) x = y? and x = y + 2
(d) y = xV1- x2 and y = x– x³
%3D
(b) x = y? and x + 2y² = 3
(e) y = e", y = e3, and x = 1
(c) y = x4 - x² and y = 1 – x²
(f) y = 2ª, y = 5ª, and x = 1
%3D
9-2. Find the total area between the given curves:
(b) y² – x = 2, x – e = 0, y =±1
%3D
|
(a) y? – 4x = 3 and 4x – y = 3
%3D
%3D
9-3. Find the number c such that y = c divides the region bounded by y = x² and y = 4 into two
subregions of equal area.
9-4. Find a positive, continuous function f such that the area between the x-axis and the graph
of f between 0 and a is exactly A(x) = x4.
9-5. Find the area of the triangles with vertices:
(b) (-2,5), (0. –3), (5. 2)
目 0非195.34
(a) (0.0). (1.8).(4.3)
PNG 檔案..
411243 (250/284)
2021-04-01 (...
2021-04-01 (...
Pik Yin (Uni.
3.
Transcribed Image Text:odf (88 – S(9)) dq = 24 – 2g – q² dq = 84. PS = [88 – S(g)] dq 24 2q- 9.4 Exercises 9-1. Find the total area of the regions enclosed by the given curves: (a) x = y? and x = y + 2 (d) y = xV1- x2 and y = x– x³ %3D (b) x = y? and x + 2y² = 3 (e) y = e", y = e3, and x = 1 (c) y = x4 - x² and y = 1 – x² (f) y = 2ª, y = 5ª, and x = 1 %3D 9-2. Find the total area between the given curves: (b) y² – x = 2, x – e = 0, y =±1 %3D | (a) y? – 4x = 3 and 4x – y = 3 %3D %3D 9-3. Find the number c such that y = c divides the region bounded by y = x² and y = 4 into two subregions of equal area. 9-4. Find a positive, continuous function f such that the area between the x-axis and the graph of f between 0 and a is exactly A(x) = x4. 9-5. Find the area of the triangles with vertices: (b) (-2,5), (0. –3), (5. 2) 目 0非195.34 (a) (0.0). (1.8).(4.3) PNG 檔案.. 411243 (250/284) 2021-04-01 (... 2021-04-01 (... Pik Yin (Uni. 3.
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage