3. Find the area bounded by the curve y = x² - 7x + 6 and the x-axis and the ordinates x 2 and x = 6.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
icon
Related questions
Question

Answer question number 3 

Solve the problems below using the following steps;
i.) Sketch the area,
ii.) Determine the boundaries a and b
,
iii.) Set up the definite integral,
iv.) Integrate
1. Find the area bounded by the curve y = x², the x-axis, the ordinates x = 1 and x = 3 .
2. Find the area bounded by the parabola x = 8+2y-y² and the y-axis and the lines y =
-1 and y = 3.
3. Find the area bounded by the curve y = x² - 7x + 6 and the x-axis and the ordinates x =
2 and x = 6.
4.
Find the area bounded by the parabola y² = 4x and the line y = 2x - 4.
5.
Find the area of the region enclosed by the parabolas y = x² and y = 2x - x².
6. Find the area of the region bounded by the curves y = x + 1, y = 9-x², x = -1, x = 2.
Transcribed Image Text:Solve the problems below using the following steps; i.) Sketch the area, ii.) Determine the boundaries a and b , iii.) Set up the definite integral, iv.) Integrate 1. Find the area bounded by the curve y = x², the x-axis, the ordinates x = 1 and x = 3 . 2. Find the area bounded by the parabola x = 8+2y-y² and the y-axis and the lines y = -1 and y = 3. 3. Find the area bounded by the curve y = x² - 7x + 6 and the x-axis and the ordinates x = 2 and x = 6. 4. Find the area bounded by the parabola y² = 4x and the line y = 2x - 4. 5. Find the area of the region enclosed by the parabolas y = x² and y = 2x - x². 6. Find the area of the region bounded by the curves y = x + 1, y = 9-x², x = -1, x = 2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning