Purchase Solution

Surface Area of a Revolving Curve

Not what you're looking for?

Ask Custom Question

Using the formula for the surface area of a revolving curve about the y-axis:
S=∫2πx√(1 + (dx/dy)²)dy throughout a,b

Find the area of the surface generated by revolving the curve about the y axis within the given boundaries

x=√(2y-1) 5/8≤y≤1

the revolving base passes thru the point (1/2, 5/8)
the revolving top passes thru the point (1,1)

Please be detailed, showing the complete derivation, integration and substitution of limits to find the area.

Purchase this Solution

Solution Summary

This shows how to use a given formula to find surface area of a revolving curve.

Solution Preview

x=√(2y-1)
=>dx/dy=(1/2)[(2y-1)^(-1/2)]*2=1/√(2y-1)

S=∫2πx√(1 + ...

Purchase this Solution


Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Probability Quiz

Some questions on probability