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Pairs of straight lines, The equation ax2 + 2hxy + by2 =0 represents a pair...

The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+

Generate pairs of vertices at random , Generate a 1000 vertex graph adding ...

Generate a 1000 vertex graph adding edges randomly one at a time.  How many edges are added before all isolated vertices disappear?  Try the experiment enough times to determine ho

Trigonometric Identities, How to sovle or prove whether an equation is a id...

How to sovle or prove whether an equation is a identity?

Quantitative analysis, Suppose the economy is now ‘open’ and thus has an ex...

Suppose the economy is now ‘open’ and thus has an external demand (e.g. from the government, exports, etc.) of the dollar amounts for each respective industry. In the latest budget

Calculus, f(x)= 2e^5x+6 find the domain of f and find x-intercept.

f(x)= 2e^5x+6 find the domain of f and find x-intercept.

Maths for fun-mathematics- in our lives, Maths For Fun :  Often, when I ha...

Maths For Fun :  Often, when I have time on my hands, I try to solve interesting mathematical questions of the following kind. Sometimes my friends and I create the problems, and

Square and square root., the value of square root of 200multiplied by squar...

the value of square root of 200multiplied by square root of 5+

Solving whole number riddles, What is the answer for I am greater than 30 a...

What is the answer for I am greater than 30 and less than 40. The sum of my digits is less than 5.

Linear approximation method for interpolation, Linear Approxi...

Linear Approximation Method This is a rough and ready method of interpolation and is best used when the series moves in predicted interval

Continuous compounding, If r per annum is the rate at which the princ...

If r per annum is the rate at which the principal A is compounded annually, then at the end of k years, the money due is          Q = A (1 + r) k Suppose

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