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

The blood pressure over two heart beats, At rest, the human heart beats onc...

At rest, the human heart beats once every second. At the strongest part of the beat, a person's blood pressure peaks at 120mmHg. At the most relaxed part of the beat, a person's bl

Calculate the gross pay, 1. Simon's monthly take home pay (after taxes) is ...

1. Simon's monthly take home pay (after taxes) is $2200, if he pays 19%  of his gross pay(before taxex) in tax, what is his gross pay? 2 . Convert the following quantities to th

The length of the rectangle, Suppose that the width of a rectangle is three...

Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 86 feet. a)  Set up an equation for the perimeter involving on

Linear programming, I want to send to you a file for my question.How. Could...

I want to send to you a file for my question.How. Could you please send my a link for that.

Modeling - nonhomogeneous systems, Under this section we're going to go bac...

Under this section we're going to go back and revisit the concept of modeling only now we're going to look at this in light of the fact as we now understand how to solve systems of

Test of hypothesis about the population mean, Test of hypothesis about the ...

Test of hypothesis about the population mean When the population standard deviation (S) is identified then the t statistic is defined as             t = ¦(x¯ - µ)/ S x¯ ¦

Approximating definite integrals - integration techniques, Approximating De...

Approximating Definite Integrals - Integration Techniques In this section we have spent quite a bit of time on computing the values of integrals. Though, not all integrals can

MATLAB, Program of "surface of revolution" in MATLAB

Program of "surface of revolution" in MATLAB

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