qais19966p41yfx qais19966p41yfx

11-12-2018
Mathematics

contestada

find the area contained between
[tex] {y }^{2} = x[/tex]
and
[tex] y = {x}^{2} [/tex]

Respuesta :

LammettHash LammettHash

11-12-2018

The area is given by

[tex]\displaystyle\int_0^1\sqrt x-x^2\,\mathrm dx=\dfrac23x^{3/2}-\dfrac13x^3\bigg|_{x=0}^{x=1}[/tex]

so the area is

[tex]\dfrac23-\dfrac13=\dfrac13[/tex]

Answer Link

Otras preguntas

An example of binomial nomencleture would be ? A.homo sapiens B.panthera Tigris C.tyrannosaurus rex D.all of above

angle xyz is rotated 270 degrees counterclockwise about the origin to for angle x'y'z'

In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram?

What substance is used in lotions and cosmetics? (plz answer) a. ammonium hydroxide b. acetic acid c. formic acid d. zinc hydroxide

Find the equation of the parabola with its vertex at the origin and focus at (-3,0)

A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour. Which complex fraction represents the unit rate in miles per hour? A: 2/12 / 1/6 B:5/2 / 1/6 C:

Which best describes an acquired trait?

Atoms of elements in the same group have the same number of [Blank] This is why they have similar chemical properties. A.Protons B.neutrons C.Valence electrons

When a biographer uses he, she, or they, the _____ point of view is being used.

The economies of Ghana, Sierra Leone, the Ivory Coast, and other nations depend largely on the export of _____.