Question

Y'all wanna see a witch?

Answer 1

Yes

Answer 2

Ganeshie > Tis witch

Answer 3

It actually is.

Answer 4

Did you see the image?

Answer 5

polar curve of the italian witch , the only curve was discoverd by a woman , cool i love it also wait ill uploud Gif to how its work

Answer 6

I though it was an actually witch. I got scared for a sec there.

Answer 7

Smh lol.

Answer 8

@ikram002p explained it.

Answer 9

This is called Witch of Agnesi.

Answer 10

\(\large y = e^{-x^2/2}\)

Answer 11

It is actually cartesian. It depends upon two variables: a and b.

Answer 12

well , it have charastaristic equation but still one of famouse 15 special curves i guess

Answer 13

looks ikram did phd in polar curves :o

Answer 14

Miss typed the link. http://mathworld.wolfram.com/Witchoowletnesi.html

Answer 15

When a=.5 the witch becomes \( {1 \over {1+x^2}}\) better known as the derivative of arctan x.

Answer 16

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Answer 17

The general equation

\[ \Large y = {{(2a)^3} \over {x^2 + (2a)^2}} \]

is the way the witch is usually given.

Answer 18

Is the derivation easy ?
Lres, in your svg file, W should be \(\large(b, a+\sin\theta)\) right ?

Answer 19

@ganeshie8 Yes. This will only take a second to patch up.

Answer 20

i hope so, but the derivation looks hard to me still... we need to find the locus of W hmm

Answer 21

u wanna derevative of y ?

Answer 22

its like 1/x^2 formulla mm

Answer 23

Revised label

Answer 24

sorry i don't mean derivative/differentiation..
i mean, find the equation of curve using the given constraints...

Answer 25

ohh u wanna construct the equation from the curve itself

Answer 26

well note how the change of x,y according to a,b and theta
then convert to one line equation

Answer 27

the gif file well help you to note how is that happening

Answer 28

x = b
b = OB^2 - (2a)^2

Answer 29

ok now find OB , u wanna convert to a sin theta ?

Answer 30

OB = OS + SB
OS = \(\large \sqrt{a^2 + a^2 - 2(a)(a)\cos (90-\theta)}\)

SB = \(\large \sqrt{a^2 + a^2 - 2(a)(a)\cos (\theta)}\)

Answer 31

see how its done here
http://mathworld.wolfram.com/Witchoowletnesi.html

Answer 32

ima google this :) thats better lol

Answer 33

haha xD

Answer 34

these things woud be easy to follow the definition mm