mr, Mathematics

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Example for introducing counting, Four-year-old Mariamma was reciting numbe...

Four-year-old Mariamma was reciting number names - some of them in order, and others randomly. The child's aunt, sitting nearby, asked her, "Can you write 'two'?" She said she coul

Trigonometry, If tanA+sinA=m and m2-n2 = 4vmn, show that tanA-sinA=n

If tanA+sinA=m and m2-n2 = 4vmn, show that tanA-sinA=n

Eigenvalues and eigenvectors, If you find nothing out of this rapid review ...

If you find nothing out of this rapid review of linear algebra you should get this section.  Without this section you will not be capable to do any of the differential equations wo

Least common multiple (lcm), Before we look at this, let us learn wha...

Before we look at this, let us learn what a multiple is. Take any number say 3. Multiply this number with natural numbers. We obtain 3, 6, 9, 12, 15, 18,.........

Multiply two radicals, Multiply following.  Assume that x is positive. ...

Multiply following.  Assume that x is positive.                  (3√x-√y)(2√x-5√y)   Solution                 (3√x-√y)(2√x-5√y)          =6√x 2 -15√x√y-2√x√y+5√y

Theorem to computer the integral, Use green's theorem to computer the integ...

Use green's theorem to computer the integral F . dr where F = ( y^2 + x, y^2 + y) and c is bounded below the curve y= - cos(x),, above by y = sin(x) to the left by x=0 and to the r

Multiplication of complex numbers, Multiplication of complex numbers: ...

Multiplication of complex numbers: Example 1: Combine the subsequent complex numbers: (4 + 3i) + (8 - 2i) - (7 + 3i) =  Solution: (4 + 3i) + (8 - 2i) - (7 + 3i

Evaluate the definite integral, Evaluate the given definite integral. ...

Evaluate the given definite integral. Solution                      Let's begin looking at the first way of dealing along with the evaluation step. We'll have to be c

Permutation and combination, The remainder when 5^99 is divided by 13 Ans) ...

The remainder when 5^99 is divided by 13 Ans) 8 is the remainder.

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