Friday

August 1, 2014

August 1, 2014

Posted by **erika** on Thursday, January 3, 2013 at 10:55pm.

. Find the slope of the ellipse at both these points.

2. Thoroughly explain the method you used to find the slope in part 1. What are the strengths

and weaknesses of the method you used?

3. Explain whether your method will work to find the slope of x^2+xy+y^2=3 at points -1, 2 and

(-1, -1 . If it succeeds, please show your work as you find these two slopes. If your method fails,

that’s fine, just explain thoroughly why it failed.

- calculus -
**Reiny**, Thursday, January 3, 2013 at 11:14pmI will assume you meant

x = -1 , (the + and + are on the same key)

x^2 + 3y^2 = 13

2x + 6y dy/dx = 0

dy/dx = -2x/6y = -x/3y

when x = -1 ......

1 + 3y^2 = 13

3y^2 = 12

y^2 = 4

y = ± 2

the two points are (-1,2) and (-1, -2)

at (-1,2) , slope = 1/6

at (-1,-2) , slope = 1/-6 = -1/6

2. your call

3. x^2 + xy + y^2 = 3

2x + xdy/dx + y + 2ydy/dx = 0

dy/dx(x + 2y) = -2x - y

dy/dx = (-2x - y)/(x+2y)

at (-1,2) , slope= (2-2)/(-1+4) = 0

at (-1,-1) , slope = (2+1)/(-1-2) = -1

I don't get the instructions.

" If your method fails, that’s fine, just explain thoroughly why it failed." ---- > very odd!

- calculus -
**erika**, Thursday, January 3, 2013 at 11:21pmThank you! helped a lot and yes I meant '=' ,

basically I think he just wants us to explain on why it did or didn't fail, yes I know very strange! :)

**Related Questions**

Calculus (pleas help!) - Find the slope of the tangent line to the ellipse x^2/...

Calculus - The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) ...

geometry - The area of an ellipse in the form (x*x/a*a)+(y*y)/(b*b)=1 is A=3.14*...

calculus - use implcit differenciation to find an eqaution of both the tangent ...

Calculus - I seriously do not understand anything about this problem Please ...

Calculus please help ! - Find the coordinates of the center of the ellipse ...

Pre-calculus HELP PLEASE ! - Find the coordinates of the center of the ellipse ...

Calculus 1 - Find all the points on the ellipse 3x^2-xy+y^2=64 that lie on the ...

physics - The angular momentum of a planet is conserved if taken with respect ...

Calculus - Find equations of both the tangent lines to the ellipse x^2 + 4y^2 = ...