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Volumes of Solids of Revolution / Method of Rings
In this section we will begin looking at the volume of solid of revolution. We have to first describe just what a solid of revolution is. To get a solid of revolution we begin with a function, y = f (x ) , on an interval [a,b].
Then we rotate this curve around a given axis to get the surface of the solid of revolution. For discussion let's rotate the curve around the x-axis, although it could be any vertical or horizontal axis. Carrying out this for the curve above gives the given three dimensional region.
Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b = ? Ans: Condition that a quadratic equation ax² + bx + c = 0 has equal roots is: Its discriminant, b² - 4ac = 0 A
probability as that of flipping a coin eight times and getting all the times the same side of the coin.)
construct the green''s function that satisfies dG''''-(2x+1)G''+(x+1)G=delta(x-s), G(0,s)=G(1,s)=0
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
Determination of the Regression Equation The determination of the regression equation such given above is generally done by using a technique termed as "the method of least sq
What is Pythagorean Triples? A set of three numbers a, b, and c that can satisfy the equation A 2 +b 2 = c 2 , is called a Pythagorean triple. The following is a list of
In figure, the incircle of triangle ABC touches the sides BC, CA, and AB at D, E, and F respectively. Show that AF+BD+CE=AE+BF+CD= 1/2 (perimeter of triangle ABC), Ans:
Each Child Is Unique : Although every child goes through similar stages of development, the process may vary from one set of children to another, and also from one child to anoth
WHICH LIFE PROBLEMS CAN BE SOLVED USING THE KNOWLEDGE OF DIFFERNTIAL EQUATIONS?
Three Dimensional geometry Intorduction In earlier classes we studied about the coordinates in two planes that is the XY plane. Here we are going to study in detail about th
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