Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Suppose f(x), a sxsb, is a positive differentiable function. If you rotate the graph around the x-axis, you obtain a surface of revolution. The size of this area is | 2nf(x)/1+(f'(x))² dx. Check the correct statement. A Let Ax > 0. Think about the line segment that connects (x,ƒ(x)) with (x+Ax, f(x+Ax)). When it is rotated around the x-axis, it creates a circular strip with width Ax and radius f(x)v1+(f'(x))², approximately. Think of the surface of revolution as composed of many such thin circular strips (approxi- mately), then let Ax → 0.

Suppose f(x), a sxsb, is a positive differentiable function. If you rotate the graph around the x-axis, you obtain a surface of revolution. The size of this area is | 2nf(x)/1+(f'(x))² dx. Check the correct statement. A Let Ax > 0. Think about the line segment that connects (x,ƒ(x)) with (x+Ax, f(x+Ax)). When it is rotated around the x-axis, it creates a circular strip with width Ax and radius f(x)v1+(f'(x))², approximately. Think of the surface of revolution as composed of many such thin circular strips (approxi- mately), then let Ax → 0.

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
See similar textbooks
icon
Related questions
Question
5. Suppose f(x), a < x < b, is a positive differentiable function. If you rotate the graph around the x-axis, you obtain a surface of revolution. The size of this area is | 2nf(x)V/1+ (f'(x))² dx. Check the correct statement. A Let Ax > 0. Think about the line segment that connects (x, f(x)) with (x+Ax, f(x+Ar)). When it is rotated around the x-axis, it creates a circular strip with width Ar and radius f(x)/1+ (f'(x))?, approximately. Think of the surface of revolution as composed of many such thin circular strips (approxi- mately), then let Ax → 0. B Let Ax > 0. Think about the line segment that connects (x, f(x)) with (x+ Ax, f(x+Ax)). When it is rotated around the x-axis, it creates a circular strip with width V1+(f'(x))²Ax and radius f(x), approximately. Think of the surface of revolution as composed of many such thin circular strips (approxi- mately), then let Ax → 0. C Neither of the above is correct.
Transcribed Image Text:5. Suppose f(x), a < x < b, is a positive differentiable function. If you rotate the graph around the x-axis, you obtain a surface of revolution. The size of this area is | 2nf(x)V/1+ (f'(x))² dx. Check the correct statement. A Let Ax > 0. Think about the line segment that connects (x, f(x)) with (x+Ax, f(x+Ar)). When it is rotated around the x-axis, it creates a circular strip with width Ar and radius f(x)/1+ (f'(x))?, approximately. Think of the surface of revolution as composed of many such thin circular strips (approxi- mately), then let Ax → 0. B Let Ax > 0. Think about the line segment that connects (x, f(x)) with (x+ Ax, f(x+Ax)). When it is rotated around the x-axis, it creates a circular strip with width V1+(f'(x))²Ax and radius f(x), approximately. Think of the surface of revolution as composed of many such thin circular strips (approxi- mately), then let Ax → 0. C Neither of the above is correct.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Fundamental Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS