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Method of cylinders or method of shells
The formula for the area in all of the cases will be,
A = 2 ∏ ( radius ) (height )
There are some important differences among this method & the method of rings/disks that we have to note before moving on. Firstly, rotation around a vertical axis will give an area which is a function of x and rotation around a horizontal axis will give an area which is a function of y. It is exactly opposite of the method of rings/disks.
Secondly, we don't take the total range of x or y for the limits of integration. Rather than we take a range of x or y which will cover one side of the solid. If we expand out the radius to cover one side automatically we will expand in the other direction as well to cover the other side.
You are given that the total frequency is 900 and the median 100.48. From the following frequency distribution, find the class frequencies that are missing. Intelligence No. of Int
from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 )dx = sqrt(1-x 2 )∫dx - ∫{(-2x)/2sqrt(1-x 2 )}∫dx ---->(INTEGRATION BY PARTS) = x√(1-x 2 ) - ∫-x 2 /√(1-x 2 ) Let
Laws of Set Algebra From the given Venn diagram where T is the universal set and A its subset that we can deduce a number of laws as: i. A υ Ø = A ii. A υ T = T
Mr. And Mrs. samuel visited Florida and purchased 120 oranges. They gave 1/4 of them to relatives, ate 1/12 of them in the hotel, and gave 1/3 of them to friends. The shipped the
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It is a fairly short section. It's real purpose is to acknowledge that the exponent properties work for any exponent. We've already used them on integer and rational exponents al
G raph y = sec ( x ) Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x) Secant will not present at
in a class of 55 students, 35 take english, 40 take french, and 5 take other languages.present this information in a venn diagam and determine how many students take both languages
Constrcut the adjacency matrix and the adjacency lists for the graph G belowr.
finding missing values from given triangle diagra m..
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