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

Solve:, A Cleaning solution has 40% vinegar. Find the amount of vinegar in ...

A Cleaning solution has 40% vinegar. Find the amount of vinegar in 32 ounces of the solution>

Kfso, poijn jjjnjb jbjdbjbj

poijn jjjnjb jbjdbjbj

Determine the displacement, Example: A 16 lb object stretches a spring 8/9...

Example: A 16 lb object stretches a spring 8/9 ft by itself. Here is no damping as well as no external forces acting on the system. The spring is firstly displaced 6 inches upward

Graph, Graph A graph G = (V, E) contains a (finite) set that is denote...

Graph A graph G = (V, E) contains a (finite) set that is denote by V, or by V(G) if one wishes to make clear which graph is under consideration, and a collection E, or E(G), o

Statistics, Calculate the Kendaul''s correlation cofficient for a given dat...

Calculate the Kendaul''s correlation cofficient for a given data.

Differential equation.., 3.6Find the general solution of the differential e...

3.6Find the general solution of the differential equation Y" + 4y = Sec2 2x

Determine the inverse function f ( x ), Given f ( x ) = 3x - 2 determine ...

Given f ( x ) = 3x - 2 determine     f -1 ( x ) . Solution Now, already we know what the inverse to this function is as already we've done some work with it.  Though, it

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