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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.
We have independent observations Xi, for i = 1, . . . , n, from a mixture of m Poisson distributions with component probabilities d c and rates l c, for c = 1, . . . ,m. We decid
AUXILIARY METHODS There are other reprographic methods which although commonly used earlier, are now mainly used for specific purposes. We think you should be aware of these me
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(x*1)+(x*7) =
a)Solve for ?, if tan5? = 1. Ans: Tan 5? = 1 ⇒ ? =45/5 ⇒ ?=9 o . b)Solve for ? if S i n ?/1 + C os ? + 1 + C os ?/ S i n ? = 4 . Ans: S i n ?/1 +
Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-
what is limit
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Submit solutions for all of the following questions. Remember to set out your answers showing all steps completely and explicitly justify your steps. 1. Provide, in no more than
Finite Population Correction Factor Or Fpcf) If a specified population is relatively of small size and sample size is more than 5 percent of the population then the standard er
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