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Determine the equation of the tangent to the curve at a given point.
x^2+9y^2=37 (1,2)
 one year ago
 one year ago
Determine the equation of the tangent to the curve at a given point. x^2+9y^2=37 (1,2)
 one year ago
 one year ago

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IsTimBest ResponseYou've already chosen the best response.0
I've gotten the slope of 1/18, but I don't know if that's correct. And if so, how do I continue?
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
So, first, dy/dx=x/dy. I then subbed in (1,2) and got 1/18.
 one year ago

CHAD159753Best ResponseYou've already chosen the best response.0
Lol uhh so I cant give answers so ill just leave now but what youv done so far is correct :D
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
I don't need the answer. I need to know what my process afterwards should be.
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
What's the derivative?
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
And Chad is in 11th grade, he won't be able to help you
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
1. Derivative is 2x+18y(dy/dx)=0. Right? 2. I figured that out already...
 one year ago

CHAD159753Best ResponseYou've already chosen the best response.0
lol ink I can give him an answer ;D
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
x^2+9y^2=37 dy/dx 37=dy/dx x^2+dy/dx 9y^2 0=2x+18y dy/dx
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
No, you won't give him the answer he's looking for. THe answer he's looking for is an explanation, because, as everyone knows, it's the explanantion that matters in calc
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
I already have the answer in my textbook and potentially Wolfram Alpha. I need to know how to GET there though.
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
Normally at this point I try to isolate dy/dx for convenience
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
0=2x+18y dy/dx (2x)/(18y)=dy/dx x/(9y)=dy/dx
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Yeah, I think I did that.It's x/dy right? @ Shruti: I don't think so...
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
And, my answer agrees with your answer here.
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
Although my work here is moot, because i'm in 9th grade.
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Ok. Thanks for the help so far.
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Ok. How would I get to the answer of x+18y37=0 from knowing that the slope is 1/18?
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
If you had the derivative and wanted to get the original equation?
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
@shruti By conics did you mean http://www.purplemath.com/modules/circle3.htm
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
since this is an equation of an ellipse, y can be considered an implicit function of x right?
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
I guess. My notes only reveal the steps. This work is not from a textbook.
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
In fact, it's not even addressed in my textbook. That's strange.
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
it can be .... to derive implicitly, ignore the form of the variable and treat everything as tho it acted like you normally think of deriving x^2+9y^2=37 ; just derive it all, but dont toss out the derived bits 2x x' + 18y y' = 0 now lets consider this when we derive it with respect to x x' = dx/dx = 1 y' = dy/dx like normal so, lets solve it for y'
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
If you have the derivative, and want to get the original equation, you take the antiderivative of it
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
If you're asking about taking antiderivatives (indefinite integrals), and have not yet learned about rieman sums, don't worry about the question
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
Otherwise, I might have to look into it.
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Y' is x/dy, which, when we sub in (1,2) is 1/18 right?
 one year ago

dpaIncBest ResponseYou've already chosen the best response.0
yes tim, 1/18 is right
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
What would I do next then?
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
Well, you have a point, and a slope.
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
(1,2) > point 1/18 > slope
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Would I sub those into y=mx+b?
 one year ago

dpaIncBest ResponseYou've already chosen the best response.0
you have slope, you have a point, put it in point slope form...
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
put in the point and the slope, and then you have b
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
then, put in y=mx+b, cept don't put in that point
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
This isn't a calculus problem, this is an algebra problem, :D
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Sorry, what is point slope form? It's algebra? I must really have been "dumbing" down these years...
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
There's multiple ways of writing the equation for a line.
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
This is point slope: yy1=m(xx1)
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
this is slope intecept: y=mx+b
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
This is standard form: ax+by=c
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
I normally work with slope intercept, because i'm more used to it.
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
However, point slope is the fastest way to go here.
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
yy1=m(xx1) (x1,y1)=(1,2) m=1/18
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
The answer is in the form of ax+by=c I guess, but I am also more familiar with slope intercept.
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Wait, I already have the slope... I know it is 1/18. But how do I get to x+18y37?
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
y1=(1/18)(x2) now, just isolate y, and distribute x
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
They have given you the point that the line must pass through, and you have found the slope,
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Oh. I finally understand. Thank you very much. I will call out again if I need help.
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Wait, 1 and 2 in y1=(1/18)(x2)/ Shouldn't it be y2=(1/18)(x1)? Because (1,2)?
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
I got it confused myself. xD
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Why doesn't my answer look like that provided on the sheet, which is x+18y37?
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Oh. I figured that out. Sorry.
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Thank you all for putting forth the effort to assist me.
 one year ago

IsTimBest ResponseYou've already chosen the best response.0
Or at the very least, looking over the question.
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
This is good premptive practice for me ;)
 one year ago
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