12. Sketch the region bounded by y = √4-x2 and y = -√4-x² for-2 ≤ x ≤ 2. Give a definite integral for the area not compute the integral. Instead, find the area using geometry. of the region, but do
12. Sketch the region bounded by y = √4-x2 and y = -√4-x² for-2 ≤ x ≤ 2. Give a definite integral for the area not compute the integral. Instead, find the area using geometry. of the region, but do
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
Related questions
Question
Could you help me solve 12 please? Thanks!
![e tnterval and find its area.
© [+]
[0, π]
In Exercises 7 and 8, let f(x) = 20+ x - x² and g(x) = = x2 – 5x.
Sketch the region enclosed by the graphs of f and g, and compute its
area.
6.
8.
Sketch the region between the graphs of f and g over [4, 8], and com-
pute its area as a sum of two integrals.
Find the area between y = e* and y = e2x over [0, 1].
10. Find the area of the region bounded by y = e* and y = 12 - e* and
the y-axis.
11. Sketch the region bounded by the line y = 2 and the graph of
y = sec² x for - < x < and find its area.
12. Sketch the region bounded by
y = √√4x² and y =
= -√4x²
for -2 ≤ x ≤ 2. Give a definite integral for the area of the region, but do
not compute the integral. Instead, find the area using geometry.
In Exercises 13-16, determine whether or not the region bounded by the
curves is vertically simple and/or horizontally simple.
13. x = y², x = 2 - y²
14, y = x², x = y²
In Exercises
x = 1 - cos
21. 0 ≤ y ≤
23.
to th](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3f7c47f-f942-4013-9970-37881347efaf%2F42769296-0e13-488d-a5c8-66bbee07078a%2Fxdbn0ss_processed.jpeg&w=3840&q=75)
Transcribed Image Text:e tnterval and find its area.
© [+]
[0, π]
In Exercises 7 and 8, let f(x) = 20+ x - x² and g(x) = = x2 – 5x.
Sketch the region enclosed by the graphs of f and g, and compute its
area.
6.
8.
Sketch the region between the graphs of f and g over [4, 8], and com-
pute its area as a sum of two integrals.
Find the area between y = e* and y = e2x over [0, 1].
10. Find the area of the region bounded by y = e* and y = 12 - e* and
the y-axis.
11. Sketch the region bounded by the line y = 2 and the graph of
y = sec² x for - < x < and find its area.
12. Sketch the region bounded by
y = √√4x² and y =
= -√4x²
for -2 ≤ x ≤ 2. Give a definite integral for the area of the region, but do
not compute the integral. Instead, find the area using geometry.
In Exercises 13-16, determine whether or not the region bounded by the
curves is vertically simple and/or horizontally simple.
13. x = y², x = 2 - y²
14, y = x², x = y²
In Exercises
x = 1 - cos
21. 0 ≤ y ≤
23.
to th
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