12, Mathematics

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Area of a circle, There's a nice way to show why the expresion for the area...

There's a nice way to show why the expresion for the area of a circle of radius R is: Pi * R 2 . It has an comman relationship with the experation for the circumference of a

Problem Solving, Max can paint a house in 3 hours. Saria can paint a house...

Max can paint a house in 3 hours. Saria can paint a house in 5 hours. working together, how long will it take both Saria and Max to paint a house?

What is the probability a 3 will be rolled and a tail tossed, A die is roll...

A die is rolled and a coin is tossed. What is the probability that a 3 will be rolled and a tail tossed? Find the probability of each event separately, and then multiply the an

Ellipsoid - three dimensional spaces, Ellipsoid Now here is the genera...

Ellipsoid Now here is the general equation of an ellipsoid. X 2 / a 2 + y 2 /b 2 + z 2 /c 2 = 1 Here is a diagram of a typical ellipsoid. If a = b = c afterw

Shares and dividends, suresh invested rs.1080 in shares of face value rs.50...

suresh invested rs.1080 in shares of face value rs.50 at rs.54.After receiving dividend on them at 8% he sold them at 52.In each of the transaction he paid 2 % brokerage.Hpw much d

Differential equations, There isn't actually a whole lot to this section th...

There isn't actually a whole lot to this section this is mainly here thus we can get several basic concepts and definitions out of the way.  Most of the concepts and definitions in

Find homeomorphisms - complex root, All numbers refer to exercises (and not...

All numbers refer to exercises (and not "computer exercises") in Gallian. §22: 8, 16, 22, 24, 28, 36. In addition: Problem 1: Let a be a complex root of the polynomial x 6 +

value of integration , what is the value of integration limit n-> infinity...

what is the value of integration limit n-> infinity [n!/n to the power n]to the power 1/n Solution)  limit n-->inf.    [1 + (n!-n^n)/n^n]^1/n = e^ limit n-->inf.    {(n!-n^n)

Determine the velocity and position functions of object, Determine if the a...

Determine if the acceleration of an object is given by a → = i → + 2 j → + 6tk → find out the object's velocity and position functions here given that the initial velocity is v

What is the probability that the card is a queen, Five cards - the ten, jac...

Five cards - the ten, jack, queen, king and ace, are well shuffled with their face downwards. One card is then picked up at random. (i)  What is the probability that the card is

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