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There's a nice way to show why the expresion for the area of a circle of radius R is:
Pi * R2.
It has an comman relationship with the experation for the circumference of a circle, which is 2 * Pi * R (and that is a consequence of the description of Pi, which is known to be the ratio of the circumference of a circle to its diameter.)
Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2 2 linear systems of ODE. (1) Suppose that A and B have the same purely imaginary eigenvalues. Prove that these systems are topologi
The Cartesian product (also called as the cross product) of two sets A and B, shown by AΧB (in the similar order) is the set of all ordered pairs (x, y) such that x€A and y€B. What
Graph A graph G = (V, E) contains a (finite) set that is denote by V, or by V(G) if one wishes to make clear which graph is under consideration, and a collection E, or E(G), o
Prime number A prime number is a number whose only +ve factors are 1 and itself. For instance 2, 3, 5, and 7 are all of the examples of prime numbers. Examples of numbers whic
What is a truth table? Distinguish between Tautology & Contradiction?
Definition of inverse functions : Given two one-to-one functions f ( x ) and g ( x ) if ( f o g ) ( x ) = x AND ( g o f ) ( x ) = x then we say that f ( x ) & g ( x ) are i
Consider the wave equation utt - uxx = 0 with u(x, 0) = f(x) = 1 if-1 ut(x, 0) = ?(x) =1 if-1 Sketch snapshots of the solution u(x, t) at t = 0, 1, 2 with justification (Hint: Sket
A man can do a piece of work in 25 days how many people are required to complete same work in 15 days?
1 . The probability that a couple will have a child with black hair is 0.6. If this couple has 7 children what is (a) the probability that exactly 3 of these children have bl
what is classification and how can you teach it?
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