[jasonraymondson]

Find the closest curve point of x^2 + y^2 =1 to the point (2,0)

Is this right?

y = (1 - x^2)^1/2
(2 - x)^2 + ((1 - x^2)^1/2)^2 = d^2
5 - 4x = d^2


Any other suggestions for this?

[PrairieMule]

"Instead of having "answers" on a math test, they should just call them "impressions," and if you got a different "impression," so what, can't we all be brothers?”-Jack Handey

[pup55]

I believe y is undefined for X>1

The curve passes through 1,0. The point of interest is 2,0

Therefore d=1

[Carlhole]

Forgive me, but it's been so long...

Isn't that an equation for a unit circle whose origin lies on (0,0)?

If so, then a point on the circumference lies on (1,0) which is of distance 1 away from (2,0).

No?

[jasonraymondson]

I am just trying to figure it out, first time I have picked a math text in 12 years

[Bas]

curve? I think for x^2+y^2=1 you end up with a circle around (0,0) with a radius of 1. (1,0) would be the closest point on this circle to (2,0)

[Carlhole]

I'm pretty sure that equation describes a circle of radius 1 whose center is on the orgin.

You can think of it as a pythagorean right triangle of hypotenuse 1 which swings around 360 degrees to describe a circle.

X and Y vary because they represent the legs of the right triangle as the circle travels around the circumference. It's the approach they usually take teaching Trigonometry.

So the shortest distance to the circle from (2,0) is to (1,0) where the circle crosses the X-axis.

[PenultimateManStanding]

I just want to erase this. What happened on Monday was particularly painful. I care about my brother

[Carlhole]

You can't solve for X or Y (to plot the graph) without encountering imaginary numbers (square root of -1).

I think if you try to solve y = ((1 - x^2))^1/2 , you'll plot a hyperbola instead of a circle.

I just googled "equation of a circle" and got this:
http://www.analyzemath.com/CircleEq/CircleEq.html

...so, yes, you have a circle where h and k are both zero and r = 1.

[jboogy]

I'm not sure of the answer but I did fart while reading the OP if that helps .

PMS what happened to your brother ?

[PenultimateManStanding]

$this->bbcode_second_pass_quote('jboogy', '
')PMS what happened to your brother ?

[jboogy]

Wow , sounds messy , the anti-anxiety meds mean he may have trouble resolving his issues with you the way people without psychological problems may. Seems he should have been able to bury the hatchet by now ,... assuming you have tried to reconcile, and from what I know of you I'm sure you've given it your all . The alcohol might be a good tool for you to maybe open a dialogue , I can tell your not an angry or mean drinker so it wouldn't be an impediment , probably the opposite . I'm guessing he's been reticent about opening old wounds in order to get at the infection ?I think if it were you who went to him with a need for help it would be easier for you to instigate a rapprochement , as you said , him coming to you in need just reminds him of the resentment he feels .My sister was visiting all last week to help me redo my kitchen , bought me cabinets and tile to build a big island , I wanted to build a little arched alcove in a narrow wall we left standing and she gave me a hard time about it , saying I wouldn't finish and all that shit , I took it in stride and laughed it off telling her I was going to do it regardless of how she felt about it , then the wife came in and agreed with her after previousely saying she liked my idea and wanted it done , I flipped , said a couple F-words and kicked a hole in one of the cabinets before storming out and driving around for four hours . It took me another whole day before I would talk to or look at my sister but by the time she left we were back to normal and the incident was forgotten . Bottom line you guys are adults now and he needs to get past this , I've learned family is EVERYTHING over the years and he should have realized this by now.

[PenultimateManStanding]

$this->bbcode_second_pass_quote('jboogy', 'W')ow , sounds messy , the anti-anxiety meds mean he may have trouble resolving his issues with you the way people without psychological problems may. Seems he should have been able to bury the hatchet by now

[jasonraymondson]

PMS, your the math teacher, can we get some help with this problem?

[Carlhole]

$this->bbcode_second_pass_quote('jasonraymondson', 'P')MS, your the math teacher, can we get some help with this problem?

[Carlhole]

[align=center][/align]

I suppose I should post the Pythagorean Theorem here too in case you forgot it.

But I was mistaken about solving for Y. You don't get a hyperbola; it's still a unit circle equation, but for the first quadrant only. (Sorry, it's been years and years).

...which intersects the X axis at (1,0) which is the closest it ever gets to (2,0).

There is a graph of it here:
Unit Circle Equation

[Madpaddy]

My maths teacher had a quote he used regale us with when he was stressed out if that is any help.

"shite and onions" he would say.

I don't know what it means but it sounds awful.