Maths is Fun

[Screambowl]

Hi, I am starting a new thread which deals with discussing maths both in India and abroad.

This thread is not just related to discussion of history of maths but also discussing actual mathematical problems. You may post your queries and if any one can solve then most welcome

 

[Screambowl]

''Sridhara was an Indian mathematician who wrote on practical applications of algebra and was one of the first to give a formula for solving quadratic equations''

there is a long derivation which comes to a conclusion with discriminant formula D=b²-4ac and there fore finding both solutions.

In 628 AD, Brahmagupta, an Indian mathematician, gave the first explicit (although still not completely general) solution of the quadratic equation ax2 + bx = c as follows: "To the absolute number multiplied by four times the [coefficient of the] square, add the square of the [coefficient of the] middle term; the square root of the same, less the [coefficient of the] middle term, being divided by twice the [coefficient of the] square is the value." (Brahmasphutasiddhanta, Colebrook translation, 1817, page 346)[16]:87 This is equivalent to:

 

[Screambowl]

here m is the slope.

slope is nothing but a tangent to a curve (, parabolic, hyperbolic, exponential function, etc). Which describes how steep the graph is going.

1)In case you want to find a slope of a line then it's y2-y1/x2-x1 where (x1,y1) (x2,y2) are two points on the line.

2) in case you want to find the slope of a parabolic curve or other polynom (high order of a degree of fucnt.) I.e. path of a projectile or missile, then find the derivative of it. The first derivative will be the slope.

 

[captscooby81]

Yeh ek hafte phele nahi start kar sakta hai

i would have posted all my PIB TA exam elementary maths questions here and would have got answers ...

 

[Bornubus]

Gupta period produced many great Indian Mathematician and elementary mathematic were known to Indians for more than 3000 years.

There is a separate topic on Vedic Altras

 

[Innocent]

If you consider mental torcher and nightmares as fun then ofcource its fun.

 

[Adioz]

Hi, I am starting a new thread which deals with discussing maths both in India and abroad.

This thread is not just related to discussion of history of maths but also discussing actual mathematical problems. You may post your queries and if any one can solve then most welcome

Nice thread. I am extremely weak in Maths. Someone help me solve this:-

Spoiler: Answer

Answer = 0

 

[aditya10r]

Nice thread. I am extremely weak in Maths. Someone help me solve this:-
View attachment 18524

Spoiler: Answer

Answer = 0

Cos2z=sin^2z-cos^2z.

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[Adioz]

Cos2z=sin^2z-cos^2z.

========================================

I am gonna die doing maths some day.

 

[aditya10r]

Here for help.

COS^2x=(1+cos^2x)/2 and Sin^2x=(1-cos^2x)/2

 

[Hiranyaksha]

Here for help.

COS^2x=(1+cos^2x)/2 and Sin^2x=(1-cos^2x)/2

You haven't expanded it correctly .

 

[Hiranyaksha]

Nice thread. I am extremely weak in Maths. Someone help me solve this:-
View attachment 18524

Spoiler: Answer

Answer = 0

https://people.math.gatech.edu/~cain/winter99/supplement.pdf

This is not regular expansion . Go through the pdf and study properly.

 

[aditya10r]

You haven't expanded it correctly .

I was also having some doubt.

Thanks.

==============================

 

[Screambowl]

Nice thread. I am extremely weak in Maths. Someone help me solve this:-
View attachment 18524

Spoiler: Answer

Answer = 0

do as @aditya10r said, 2sinxcosx and then integrate by parts

 

[Bornubus]

do as @aditya10r said, 2sinxcosx and then integrate by parts

Bhai Germany me kya kar rahe ho. Brain drain

 

[Screambowl]

Bhai Germany me kya kar rahe ho. Brain drain

Switzerland ana to wapis hi hai but yahan maths bohot phaduu hai..
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[aditya10r]

Switzerland ana to wapis hi hai but yahan maths bohot phaduu hai..
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What do they teach their dude???

How to find the inverse of a 4x4 matrix??

 

[Adioz]

Kitna chutiya hoon main?

Cos 2z is analytic.

Direct integration works. I was trying to substitute z=π*(e^iθ) with θ limits from -π/2 to π/2. From there it went way too complex (pun intended).

OTOH direct integration gave me answer = 4 Sin2πi

BTW, I was also seeing the wrong answer . The answer was not zero. I saw the answer of exercise 14.2 instead of 14.1

 

[Screambowl]

What do they teach their dude???

How to find the inverse of a 4x4 matrix??

that's basic ... taught in 12th Bhai ...
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[Adioz]

that's basic ... taught in 12th Bhai ...
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They teach Gauss-Jordan elimination in 12th?