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#126 2009-03-23 07:58:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

Find the interval of x in which the function


is increasing.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#127 2009-03-24 05:17:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

If n is an odd integer, what is the greatest number by which n(n²-1) is certainly divisible by?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#128 2009-03-24 05:28:30

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

If

,
then what is the value of
?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#129 2009-03-24 06:05:17

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

The Greatest Common Divisor and the Least Common Multiple of two expressions are


respectively. If one expression is
,
what is the other expression?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#130 2009-03-24 07:02:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

What is the value of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#131 2009-03-24 07:20:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

What is the Greatest Common Divisor of the expressions

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#132 2009-03-24 16:54:21

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

Find the angle of intersection of the curves

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#133 2009-03-24 17:13:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

Find the positive numbers x and y such that x + y = 60 and

is maximum.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#134 2009-03-25 05:54:42

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

If


equal to?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#135 2009-03-26 03:53:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

If y = sec x + tan x, then what is

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#136 2009-03-26 03:55:27

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

If y = sec x + tan x, then what is

equal to?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#137 2009-03-26 04:31:34

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

What is

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#138 2009-03-26 05:02:46

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

If

,
then what is the value of
?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#139 2009-03-26 05:21:46

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

If the curve


passes through the point (0,2) and has its tangent parallel to the x-axis at
,
then what are the values of a and b?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#140 2009-03-26 05:30:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

A rod of length 13 meters has one end P on the x-axis and the other end Q on the y-axis. If P moves on the x-axis with a velocity of 12 meters per second, then what is the velocity of the other end Q when it is 12 meters from the origin?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#141 2009-03-26 05:41:49

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

If the normal to the curve y = f(x) at the point (3,4) makes an angle


with the positive x-axis, then what is f'(3)?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#142 2009-03-26 10:45:13

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

What is the value of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#143 2009-03-26 10:52:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

What is the value of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#144 2009-03-26 11:04:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

What are the values of tan θ obtained from the equation

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#145 2009-03-26 11:16:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

A trekker before climbing a mountain finds the height of the mountain from a point 20 kilometers from it. He finds the angle of elevation to be 30°. What is the height of the mountain?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#146 2009-03-26 11:26:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

If tan 40° = x, then what is the value of 1 + cosec²50°?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#147 2009-03-27 18:11:36

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

Find the sum to infinity of the Geometric Progression 36, 12, 4, ....... .


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#148 2009-03-27 18:39:08

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

If A = {2, 4, 8}, B = {1, 2, 6, 8}, and C = {1,5,6,8}, find

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#149 2009-03-27 19:09:22

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

Find the Least Common Multiple of

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#150 2009-03-27 19:45:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Exercise

A coin is tossed three times. Find the probability of getting at least two heads.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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