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Catalogs Discussion Forums -> Algebra -> wavy curve method... -> Go to message
This Post 5 points    (Olaaa!! Perrrfect answer.   in 1 votes )   [?]
5 replies   
somewhat ,you can take it that way....but,the even powers shouldn't be ignored at all...as you require to know at least the pt. where the sign dosen't change...,
 
lets take an example...
 
if in a fn. there's a pt. -1 which has the even power...but in the denominator -1 (if included),gives us   an indefinite value...so its clear not to include it in the values of x...
 
f(x)={(x+1) 4 (x-3/5) / (x+1)}..
 
you solve it and decide does the even powers can really be ignored.....
 
i'm sure you will find this useful..
 
keep smiling..............
 
Catalogs Discussion Forums -> Differential Calculus -> real valued function numerical 3 -> Go to message
This Post 10 points    (Olaaa!! Perrrfect answer.   in 2 votes )   [?]
6 replies   


f(x) = 3(x^2) - 5.

you can by just view the answer by looking at the function itself....that all real values of x satisfies the equation...giving
us the reguired domain..

domain..is the required value(s) of x for which the function holds a real value....

so....
as, 3(x^2) - 5>0 as well as 3(x^2) - 5<=0, both conditon gives us ..its domain as (-infinity ,+infinity)...i.e. all real numbers(R).

your given fn. is ...simple so a mere view of the fn. is enough to know its domain...


hope you understand the explaination...

i know the function would have been easy for you....you just wanted a confirmation isn't it???....

keep smiling....
Community shelf Community shelf -> Mechanism -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
12 replies   
a great one...........

keep smiling.....
please post more like this....

Catalogs Discussion Forums -> Non IIT Institutes -> BIRTHDAY -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
17 replies   
happy birthday.... well, nevermind..the next time...we will all wish you on your birthday...........

well, its too late now...but... all the above incl. me will now always remember to wish you....

you see its a little tough...................

nevermind once you have good friends here , i'm sure you will have a lot of wishes.......

may you fulfill your dreams....

keep smiling....................
Community shelf Community shelf -> formulas in optics -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
30 replies   
hey himanshu.....

its a nicely composed form of optics formulae...but i think..in the 10th formulae...you must apply the condition as well...i.e if the angle
between the two mirrors is even then it is as...n = 360/theta - 1
and if the angle is odd then its like...n=360/theta.

and there is a reson behind it as well....with the even angle....we have the last image superposed at the object itself....so, we don't consider it as an object...as the image cannot be distinguished from that of the object...

rest...it seems good..
thanks...
hope this helps...and you would correct it..

keep smiling..........
Community shelf Community shelf -> Titun's Study Corner -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
16 replies   
a good one indeed ...
greatly presented.....
thanks a lot...

keep smiling....
Catalogs Discussion Forums -> Lounge -> the best link ever.... -> Go to message
This Post 4 points    (Olaaa!! Perrrfect answer.   in 2 votes )   [?]
11 replies   
dinesh babu...............it was fun....i would surely like to know the person's name who is so creative ...that he forces us to agree with himself .
 
a innovative kind of site..
 
well, i agree.......
too creative with a good message in the end......

it was quite a fun....an interesting site.......but 150 was too much..

keep smiling...........
Community shelf Community shelf -> Oldies keep away -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
14 replies   
a motivating one indeed.....

keep smiling.................
Community shelf Community shelf -> misconceptions......... -> Go to message
This Post 5 points    (Olaaa!! Perrrfect answer.   in 1 votes )   [?]
1 replies   
 
 
These are a few more.....now  related to chemistry.....
These are quite interesting...and a few which really get in you to speakout.."how??"
 
 
Molecules are basic, simple, indivisible entities
Molecules are made of smaller entities (atoms) which reorganized into different molecules. Therefore molecules are divisible.
Molecules of solids are hard, molecules of gases are soft
Molecule shape, size and mass do not change between solid and gas phases. Just because the phase as a whole appears different, e.g. often the gas is less visible than when in the solid form, doesn?t mean that the molecules themselves have changed, only the forces between them. Changes of state are physical changes.
Molecules of solids are biggest, molecules of gases are smallest
Molecules of solids are cubes, molecules of gases are round
Vapour molecules weigh less than solid molecules (e.g. water vapour vs. ice)
Molecules expand when heated
Molecules themselves do not expand. The substance heated may appear to expand because heat causes molecules to move faster (and further apart).
Chemical Bonds
Molecules are glued together
Forces of attraction hold molecules together, not glue.
Bonds store energy,
Breaking chemical bonds releases energy,
Bond making requires energy
Not all bonds release energy when broken or require energy to form. Exothermic reactions can form new molecules in which the products possess less energy than the reactants; hence, release energy when the bonds form and require energy to be broken.
Ionic pairs, such as Na+ and Cl-, are molecules
Ions are not considered molecules, which contain covalent bonds. A better word to use for ionic pairs in ionic compounds may be formula unit.
The chemical bond is a physical thing made of matter
Chemical bonds are not made of a separate form of matter, but the electrons that are shared and forces of attraction.
Chemical Bonds ?Ionic
Ionic compounds form neutral molecules, such as Na+Cl- molecules, in water
In water, ionic compounds dissociate into their ions, which are not neutral molecules because they possess a charge and the solution can act as an electrolyte.
Bonds within "ionic molecules" are stronger than inter-molecular forces
Ionic compounds are not composed of "molecules", but of ions which are attracted to one another. For example, an Na+ ion that is surrounded by Cl- ions is attracted to all of the Cl- ions, even though they are not all considered part of the "formula unit". It is these bonds that are broken when the ionic compound is dissolved in water, resulting in Na+ and Cl- ions.
Na+Cl- bonds are not broken in dissolving; only inter-molecular bonds are broken
Chemical Bonds ?Covalent
Electrons know which atom they came from
There are not different kinds of electrons for different atoms. Atoms do not "possess" their specific electrons. Electrons are the same and can be transferred from one atom to another.
Atoms know who owes them an electron
Electron pairs are equally shared in all covalent bonds
Electrons pairs are not shared equally in all covalent bonds. In some, one atom attracts the electron pair more than the other atom (i.e. a difference in electronegativity), and causes the electron pair to be closer to it than to the other atom.
The strengths of covalent bonds and intermolecular forces are similar
The strength of a covalent bond, an intramolecular force (within the molecule, i.e. between atoms), is much greater than that of intermolecular forces (between molecules). Hence, molecules can be pulled apart more easily than breaking apart the molecules themselves.
Chemical Reactions
Freezing and boiling are examples of chemical reactions
Freezing and boiling are examples of changes of state, which are physical reactions, not chemical. Other changes of state include melting, condensation, and sublimation. One characteristic that changes of state do share with chemical changes: energy is either added or removed from the system, unlike other physical changes.
Physical changes are reversible while chemical changes are not
A very common misconception. Chemical changes are also reversible. Consider equilibrium reactions in which forward and backward reactions are both occurring at the same time, as well as Le Chatalier?s Principle. Some physical changes are also hard to reverse, for example, crushing a rock.
The original substance vanishes "completely and forever" in a chemical reaction
The original substance can be produced if the reaction can be reversed under the necessary conditions.
Mass is conserved, but not the number or species of atoms
Atoms are not created or destroyed in standard chemical reactions. Therefore, the number and species of atoms do not change, and hence mass is also conserved.
Reactions that proceed more rapidly also proceed further (more completely.)
This shows a discrepancy between the concepts of speed and completeness. A reaction can reach equilibrium before it has been "completed", regardless of how fast the reaction proceeds.
Chemical reactions will continue until all the reactants are exhausted
Reactions can reach equilibrium before the reactants are exhausted. Equilibrium constants and Le Chatalier?s Principle.
Chemical equilibrium is a static condition
Students may believe that no reactions are occurring at equilibrium because the net reaction is zero. However, this means that reactions are still occurring?both forward and backward reactions are occurring at the same rate, and no net change is observed. Chemical equilibrium is dynamic.
A candle burning is endothermic, since heat is needed to initiate the reaction
Heat is needed at the beginning to initiate, or activate, the reaction. Once activated, the reaction proceeds without further energy input, and releases energy in the form of light. Therefore, it is an exothermic reaction. Another example is heating a piece of magnesium metal in a Bunsen burner, which causes it to combine with the oxygen in the air, releasing a bright light and forming magnesium oxide.
Energy is used up in chemical reactions.
Energy is created in chemical reactions.
Energy is not "used up" or "created" in chemical reactions. Instead, they are released or stored in the form of chemical bonds between atoms.
Miscellaneous
Oil doesn?t mix with water because oil and water molecules repel each other
Oil molecules are actually attracted to water molecules more than to their own molecules. This can be shown when a drop of oil, which is originally spherical in shape which minimizes the number of molecules which are not surrounded by its own molecules, is dropped onto the surface of water. When it hits the water, the oil droplet spreads out instead of staying spherical, showing that the attraction between oil and water is greater than between oil and oil. Oil and water remain in separate phases, however, because the water-water attractive forces are still much greater than oil-water attraction. It would require an input of energy for the oil molecules to come between water molecules.
Adding salt to water decreases the amount of time cooking
Adding salt to water does increase the boiling point. However, it takes longer for the water to reach this higher temperature (with a constant supply of heat from the stove), and the once the water has reached the higher temperature, the change is so small that it is not significant.
Strength (of acids and bases) and concentration mean the same thing
Concentration is the number of moles of solute that are dissolved in one liter of solvent. Strength is the percentage of those molecules that dissociate into ions.
An interesting fact: some weak acids (e.g. acetic) actually increase in strength as their concentration decreases.
Community shelf Community shelf -> misconceptions.... -> Go to message
This Post 5 points    (Olaaa!! Perrrfect answer.   in 1 votes )   [?]
1 replies   
friends.............
 
this may prove to be interesting...............
 

THE MISCONCEPTIONS:

also: Electricity Misconceptions      Static Electric Misconceptions
Catalogs Discussion Forums -> Mechanics -> relative velocity 1 -> Go to message
This Post 15 points    (Olaaa!! Perrrfect answer.   in 3 votes )   [?]
4 replies   
hi...just get your eyes through it plus your brain.....(kidding)

the most imp. thing about relative velocity , which requires clear attention is its "w.r.t some refrence"...and most of the time the refrence choosen is brougth in rest(or , i must say we nullify its effect by taking its effect on the object we are concerned with..think over this for a minute.) ...like.....
yes!! well
In the case of the motion of an object or a system kept in the elevator ascending or descending with some acceleration ,then its effect is taken on the system concerned...so that the system in the inertial frame,so that we can apply newton's laws (only applicable for inertial frame)...and i should tell you that for us on this planet..our earth is our inertial frame...so we always try to take the effect w.r.t
the earth(don't get confused, its just for your info. that even earth isn't a perfect inertial frame...hint :think about taking refrences of motion ........think!!! )..

a more likely example would be....
Imagine .... you are in a race...you are on the second position and
running at speed of 7m/s while the succeding person to you is running with 8m/s ,then you must increase your speed to 8m/s in time (t)tending to 0...,to be along with him(provided he dosen't increase his speed ..,as the time being so small...we can take it as an instance...or better it is that .......just take a snap shot of that instance when you were behind the person..you will see that you are actualylagging with the speed of 1m/s and your succeder is leading you by 1m/sec....right....

think...for cacthing a thief along a road with no curve they(policemen) will have to have speed up tohigher w.r.t the thief.....

you should have understood the jist of the refrence taking and the related term 'w.r.t'...

now,
sinjan...you are aware that velocity is a vector qty...
so, lets represent it as vector v..
so, A and B moving with velocities, Va and Vb inclined at angle theta...

now your text says,superimpose a velocity - Vb on both these objects(this we are able to do only because we assume,though we should never assume anything...but rather than directly telling its wrong!! I prefer to tell why its correct....but always work according to questions' language...take no assumption..unless you are obliged to do so..i.e. a standard assumption , that theta is less than 90 degrees,otherwise i would always suggest you to use component division) . this brings the object B to rest, it means...
take the effect of the velocity of object B on velocity of object A,you can surely always use "division of component" method as well...as they are inclined at an angle theta not equal to 90(degrees)..you just take any vector Vb of opposite direction but same magnitude....oh!! now ,i will have to explain superposition...
well then..its the principle acc. to which affect of one thing can be put on other without affecting the other part of system in any way...

above, it says take a the arbitary vector -Vb and put its effect on both the velocity vector in such a way that no other vector is affected by its presence.........

so, in a nutshell its a 'simple thing' only if you know the vector properties...the principle of superposition is not that involved ...
last the complete problem of yours is represented as...

Vab=Va-Vb (velocity of A wrt that of B)
Vba=Vb-Va (velocity of B wrt that of A)

ALWAYS REMEMBER-----VECTORS HAVE DIRECTION SO TAKE THAT IN CONSIDERATION AS WELL, IF YOU FORGET THAT YOU WILL DO A BLUNDER.....SO, ABOVE FORMULAE SHOULD BE USED CARE FULLY.....

keep smiling................




Community shelf Community shelf -> common mistakes.. part 2 -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
9 replies   
well deserving applaud for you....

Community shelf Community shelf -> how observant are you? -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
4 replies   
never mind!!...

but thanks ...
the tests or its results are a bit loose , thats what i think...
i read all Fs i.e 6...but still i don't think that means i am a genius..
i have a good brain ..but not a genius one...
and yes, your brain activity at a lot of things affect your intelligence..
any person having good attentive mind can do it..
though, its good..i was feeling great when it said ...i was a genius ...

thanks...
Community shelf Community shelf -> test for dementia -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
2 replies   
good ones indeed ,....

a applaud from my side...

great
keep smiling

Community shelf Community shelf -> THE RECIPROCITY THEOREM.... -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
4 replies   
biki, a great job ...

good, thanks for sharing the concepts with all of us...you are a true goiitian.........

i salute you for your efforts...
 
 
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