Purchase Solution

Length of a curve

Not what you're looking for?

Ask Custom Question

Using the formula for the length of a curve y=f(x) from a to b
L=∫√(1 + (dy/dx)²)dx

Find the length of the curve:

x=(y³∕6) + 1/(2y)
from y=2 to y=3

Hint: 1 + (dx/dy)². is a perfect square

Purchase this Solution
Solution Summary

This show show to use calculus to find the length of a curve.

Solution Preview

Hello and thank you for posting your question to Brainmass!

The ...

Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities

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

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

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.

View More Free Quizzes
Related BrainMass Solutions

  • Find the exact length of the polar curve.

    r = e^6θ 0 ≤ θ ≤ 2π Therefore, The length of the polar curve is The length of a polar curve is found. The solution is detailed and well presented.

  • The Length of a Curve

    The length of a curve is calculated using an integral. The exact length of the curve is computed.

  • Arc Length of a Parametric Curve

    The length of the curve on the interval is, Then the arc length is The arc length of a parametric curve is found. The solution is detailed and well presented.

  • Length of a curve

    arc length is This provides an example of finding the length of a curve.

  • Arc length of the parametric curve

    172650 Arc length of the parametric curve Find the exact length of the curve.

  • exact length of the curve

    The length of the curve is calculated as: So we first find the derivative of the function Then the length of the curve from x = 0 to x = 2 is: Let .

  • Length of curve

    65518 Length of a curve Using the formula for the length of a curve y=f(x) from a to b L=∫√(1 + (dy/dx)²)dx Find the length of the curve: x=(y³′²∕3)- y¹′² from y =1 to y=9 Hint: 1 + (dx/dy)² is a perfect square.

  • Arc length of a Curve

    The arc length of a curve is found. A function at intervals are determined.

  • Arc length and surface area

    Help is given to find the length of the arc of the curve as well as the length of the curve in this question.

  • The Geometry of a Cycloid

    The arc length of one hump of a cycloid is marked by: L = 8r (where r is the radius of the circle) The area under the curve is marked by: A = 3(pi)(r^2) Therefore, the length of one arc, L = 8 x 8 = 64.

View More Related Solutions