Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x. Determine the area of region bounded by ? = x^2 and ? = 2x -x^2

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
icon
Related questions
Question

Covered topics are Applications of Definite Integral: Plane Areas and Areas Between Curves and Volumes of Solid of Revolution. Read, analyze and solve for the following. Express your answers as decimals rounded off to two decimal places. For the volume, multiply it to the value of Pi  (3.14) to get the final answer.

  1. Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.
  2. Determine the area of region bounded by ? = x^2 and ? = 2x -x^2
  3.  Determine the volume of the solid obtained by rotating the region bounded by y= x^2 and y=x about the x-axis.
  4. Determine the area of region by ? = x^2 + 4x and the y - axis.
  5. Find the volume of the solid obtained by rotating the region bounded by y= x^2, y = 4 and the y - axis about the y-axis.
  6. Determine the volume of the solid obtained by rotating the region bounded by y= x - x^3, x = 0, x = 1 and the x - axis about the y-axis.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Covered topics are Applications of Definite Integral: Plane Areas and Areas Between Curves and Volumes of Solid of Revolution. Read, analyze and solve for the following. Express your answers as decimals rounded off to two decimal places. For the volume, multiply it to the value of Pi  (3.14) to get the final answer.

  1. Find the volume of the solid obtained by rotating the region bounded by y= x^2, y = 4 and the y - axis about the y-axis.
  2. Determine the volume of the solid obtained by rotating the region bounded by y= x - x^3, x = 0, x = 1 and the x - axis about the y-axis.
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question

Covered topics are Applications of Definite Integral: Plane Areas and Areas Between Curves and Volumes of Solid of Revolution. Read, analyze and solve for the following. Express your answers as decimals rounded off to two decimal places. For the volume, multiply it to the value of Pi  (3.14) to get the final answer.

  1.  Determine the volume of the solid obtained by rotating the region bounded by y= x^2 and y=x about the x-axis.
  2. Determine the area of region by ? = x^2 + 4x and the y - axis.

 

 

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell