As needed, use a computer to plot graphs of figures and to check values of integrals For the disk r ≤ a , find by integration using polar coordinates: (a) the area of the disk; (b) the centroid of one quadrant of the disk; (c) the moment of inertia of the disk about a diameter; (d) the circumference of the circle r = a ; (e) the centroid of a quarter circle arc.
As needed, use a computer to plot graphs of figures and to check values of integrals For the disk r ≤ a , find by integration using polar coordinates: (a) the area of the disk; (b) the centroid of one quadrant of the disk; (c) the moment of inertia of the disk about a diameter; (d) the circumference of the circle r = a ; (e) the centroid of a quarter circle arc.
As needed, use a computer to plot graphs of figures and to check values of integrals
For the disk
r
≤
a
, find by integration using polar coordinates:
(a) the area of the disk;
(b) the centroid of one quadrant of the disk;
(c) the moment of inertia of the disk about a diameter;
(d) the circumference of the circle
r
=
a
;
(e) the centroid of a quarter circle arc.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Differential Equations: An Introduction to Modern Methods and Applications
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY