Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
II. PROBLEM SOLVING SET-UP the definite integral that will solve the area or volume described in each item. You may take advantage of symmetry whenever applicable. 1. Area of the region outside the circle x² + y² = 4 but inside the ellipse +/- 1 using (a) horizontal strips (b) vertical strips 2. Volume of the solid (of revolution) obtained by rotating the region in item 1 about the y-axis using (a) disks (b) cylindrical shells Warning: Avoid double counting.

II. PROBLEM SOLVING SET-UP the definite integral that will solve the area or volume described in each item. You may take advantage of symmetry whenever applicable. 1. Area of the region outside the circle x² + y² = 4 but inside the ellipse +/- 1 using (a) horizontal strips (b) vertical strips 2. Volume of the solid (of revolution) obtained by rotating the region in item 1 about the y-axis using (a) disks (b) cylindrical shells Warning: Avoid double counting.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 37E
See similar textbooks
icon
Related questions
Question
Answer #2 HANDWRITTEN THEN BOX THE FINAL ANSWERS
II. PROBLEM SOLVING SET-UP the definite integral that will solve the area or volume described in each item. You may take advantage of symmetry whenever applicable. 1. Area of the region outside the circle x² + y² = 4 but inside the ellipse + = 1 using 2² y² 9 4 (a) horizontal strips (b) vertical strips 2. Volume of the solid (of revolution) obtained by rotating the region in item 1 about the y-axis using (a) disks (b) cylindrical shells. Warning: Avoid double counting. 3. Imagine an original glazed doughnut whose diameter (measured between the outside edges) is 75 mm while its hole (measured between the inside edges) has diameter 11 mm. (a) Assuming that the cross section of this doughnut is a perfect circle, explicitly state an equation that describes such circle. Hint 1: Equation of a circle is (rh)² + (y-k)² = r² where r is its radius while (h, k) is the location of its center.. Hint 2: The radius of the circular cross-section can be deduced from the given dimension. (b) To obtain a doughnut, the circle in item 3a will be revolved about an axis. Set-up the definite integral that will give the volume of the doughnut using disks. cylindrical shells.
Transcribed Image Text:II. PROBLEM SOLVING SET-UP the definite integral that will solve the area or volume described in each item. You may take advantage of symmetry whenever applicable. 1. Area of the region outside the circle x² + y² = 4 but inside the ellipse + = 1 using 2² y² 9 4 (a) horizontal strips (b) vertical strips 2. Volume of the solid (of revolution) obtained by rotating the region in item 1 about the y-axis using (a) disks (b) cylindrical shells. Warning: Avoid double counting. 3. Imagine an original glazed doughnut whose diameter (measured between the outside edges) is 75 mm while its hole (measured between the inside edges) has diameter 11 mm. (a) Assuming that the cross section of this doughnut is a perfect circle, explicitly state an equation that describes such circle. Hint 1: Equation of a circle is (rh)² + (y-k)² = r² where r is its radius while (h, k) is the location of its center.. Hint 2: The radius of the circular cross-section can be deduced from the given dimension. (b) To obtain a doughnut, the circle in item 3a will be revolved about an axis. Set-up the definite integral that will give the volume of the doughnut using disks. cylindrical shells.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS