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Calculus1 15 Online
OpenStudy (anonymous):

algorithm to find square root

OpenStudy (inkyvoyd):

that's not a question

OpenStudy (anonymous):

what is the formulae to find algorithm

OpenStudy (inkyvoyd):

there's more than one algorithm. Can you give us the context of this question?

OpenStudy (inkyvoyd):

you have to spend at least a little bit of time making your question clear if you want anyone to be able to help you ... once I receive clearer information I will be able to help you, but until then I'll have to wait for you...

OpenStudy (anonymous):

sorry there was a powercut

OpenStudy (anonymous):

so my question is given a z find a number a such that a^2 = z

OpenStudy (inkyvoyd):

may I ask, what course is this for?

OpenStudy (inkyvoyd):

I know of a few different ways to approximate a square root, and context can help me here

OpenStudy (anonymous):

I am just learning calculus

OpenStudy (inkyvoyd):

ok. there is the newton raphson iterative method for approximating the square root.

OpenStudy (anonymous):

I am in class 8 so if you just could make it easier

OpenStudy (inkyvoyd):

\(\Huge x_i=x_0-\frac{x_0^2-a}{2x_0};x_0=a\)

OpenStudy (inkyvoyd):

erm

OpenStudy (inkyvoyd):

\(\Huge x_i=x_{i-1}-\frac{x_{i-1}^2-a}{2x_{i-1}};x_0=a\)

OpenStudy (anonymous):

okay this is a little easier

OpenStudy (anonymous):

i belief all this is used above class 10

OpenStudy (anonymous):

am I correct

OpenStudy (inkyvoyd):

I'm not sure what class 8 and class 10 are.

OpenStudy (anonymous):

i am studying in class 8 in school and class 10 means boards

OpenStudy (anonymous):

ICSC,CBSC

OpenStudy (inkyvoyd):

sorry, I am not familiar with your education system. but from where I come from calculus is usually taught at the 12th year of education after kindergarten, although i understood it by the 9th without many issues

OpenStudy (anonymous):

its awsm you understood calculus by 9th its actually awsm

OpenStudy (anonymous):

you are an american citizen

OpenStudy (inkyvoyd):

yes

OpenStudy (anonymous):

in your school is calculus taught at class 9??

OpenStudy (inkyvoyd):

no. I read a calculus textbook (for fun lol). I took formal calculus class online in 10th grade, but I really didn't do much thinking because I learned it in 9th grade. in my school depending on how good you are at math, you can choose not even to take calculus, or to take it as early as your 11th grade year usually. I worked something out so I managed ot take it 10th grade year

OpenStudy (anonymous):

thats awsmmmmmmmmmm what did u find out

OpenStudy (inkyvoyd):

well, calculus is learnable pretty early on ( i started concepts of limits when I was around 12) if you take your time and make sure you understand the concepts. Don't be afraid to go through the proofs of theorems, because that's what really makes you understand how things work. Make sure you do plenty of practice, and not just the useless kind, but also the hardest textbook problems. You can use mit OCW or khanacademy (or both) to get where you need to be

OpenStudy (anonymous):

in India calculus is taught at class 11 depending on which subject u take and if u dont like maths u can take arts or economics whatever u wish

OpenStudy (anonymous):

which class are you in?

OpenStudy (inkyvoyd):

well, I finished my in class studies for high school, but I was in discrete mathematics this year... my apologies but I must go to bed...

OpenStudy (dumbcow):

there is another simplistic approach that does not involve calculus simply by using the midpoint of guesses you will get closer and closer to the sqrt value example: sqrt(8) initial low guess = 1 , high guess = 8 midpoint = 4.5 , 4.5^2 > 8 so 4.5 becomes new high guess new midpoint = 2.75 , 2.75^2 < 8 so 2.75 becomes new low guess new midpoint= 3.75 , 3.75^2 > 8 so 3.75 becomes new high guess new midpoint = 3.25 .... etc

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