Last Updated on September 24, 2022 by amin

Contents

## What is green and Stokes Theorem?

Green and Stokes’ Theorems are **generalizations of the Fundamental Theorem of Calculus, letting us relate double integrals over 2 dimensional regions to single integrals over their boundary**; as you study this section, it’s very important to try to keep this idea in mind.

## What is the plane closed curve of fixed perimeter and maximum area?

The plane curve of fixed perimeter and maximum area is **CIRCLE**.

## Which of the following curves gives maximum area subject to the fixed perimeter?

in Civil Engineering. Maths keeps one mentally active. **A circle** encloses maximum area for a given perimeter followed by a square. In Euclidean geometry, for a plane figure, it’s a circle.

## Who proved the Isoperimetric inequality?

There are, in fact, two ways to measure the spherical area enclosed by a simple closed curve, but the inequality is symmetric with the respect to taking the complement. This inequality was discovered by **Paul Lvy** (1919) who also extended it to higher dimensions and general surfaces.

## Nicola Fusco – The isoperimetric inequality outside a convex …

## isoperimetric inequality

## What is Isoperimetric problem?

isoperimetric problem, in mathematics, **the determination of the shape of the closed plane curve having a given length and enclosing the maximum area**. (In the absence of any restriction on shape, the curve is a circle.)

## Isoperimetric theorem demo

## How do you solve Isoperimetric problems?

## How do you find the maximum area under a curve?

## What is Green theorem in calculus?

In vector calculus, Green’s theorem **relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C**. It is the two-dimensional special case of Stokes’ theorem.

## An isoperimetric inequality for the Hamming cube and some …

## Which of the curve gives maximum area subject to the fixed perimeter?

**A circle** gives the maximum area for a given perimeter. So the triangle that gives the maximum area for a given perimeter is an equilateral triangle.

## Why do we use Stokes Theorem?

Stokes’ theorem **provides a relationship between line integrals and surface integrals**. Based on our convenience, one can compute one integral in terms of the other. Stokes’ theorem is also used in evaluating the curl of a vector field.