Arc length formula - applications of integrals, Mathematics

Assignment Help:

Arc length Formula

L = ∫ ds

Where

ds √ (1+ (dy/dx)2 ) dx                                     if y = f(x), a < x < b

ds √ (1+ (dx/dy)2 ) dy                                     if x = h(y), c < y < d

Note that there is no limits were put on the integral as the limits will depend on the ds that we are using. By using the first ds will need x limits of integration and by using the second ds will need y limits of integration.

Idea of the arc length formula as a single integral with dissimilar ways to define ds will be suitable when we run across arc lengths in future sections. As well, this ds notation will be a nice notation for the later section as well.

 


Related Discussions:- Arc length formula - applications of integrals

Share and dividend, to use newspaper and report on share and dividend

to use newspaper and report on share and dividend

If she remains going at similar rate how long will it take, Susan traveled ...

Susan traveled 114 miles in 2 hours. If she remains going at the similar rate, how long will it take her to go the remaining 285 miles of her trip? There is a 1 in 6 chance of

Find the value of delta, Consider the given graph G below. Find δ( G )=__...

Consider the given graph G below. Find δ( G )=_____ , λ( G )= _____ , κ( G )= _____, number of edge-disjoint AF -paths=_____ , and number of vertex-disjoint AF -paths= ______

Straight Line, can i known the all equations under this lesson with explana...

can i known the all equations under this lesson with explanations n examples. please..

Spherical coordinates - three dimensional space, Spherical Coordinates - Th...

Spherical Coordinates - Three Dimensional Space In this part we will introduce spherical coordinates. Spherical coordinates which can take a little getting employed to.  It's

Bricklayer estimates 6.5 how many bricks will he required, A bricklayer est...

A bricklayer estimates that he requires 6.5 bricks per square foot. He needs to lay a patio that will be 110 square feet. How many bricks will he required? Multiply 6.5 by 110;

Find the limit of given matrix, What is required: This assignment is to be ...

What is required: This assignment is to be resolved using Maple. You are to upload a single Maple worksheet with file name FamilynameFirstname.mw (e.g., CarrElliot.mw), using the A

Theory of sets, finite or infinite 1]A={4,5,6,....}

finite or infinite 1]A={4,5,6,....}

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd