calculus

posted by .

The ellipse x^2+3y^3=13, has two points when x+-1

. 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 -

    I 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 -

    Thank 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! :)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) intersects the curve at what other point?
  2. algebra

    Find the slope of the line through the given points. (2,4) (6,-3). m=y2-y1 over x2-x1. (-3)-(4) over(6)-(2) -3-4 over 6-2 -7 over 4. I plotted the two coordinates (2,-4) (6)(-3), and the slope is -7 over 4, right?
  3. physics

    I'm making a graph of force vs stretch for springs. I have 7 data trials with the k (F = kx) ranging from 28 to 31, average is 29.6. Now I need to find the slope and write an equation for the graph. If I use the first two points to …
  4. Calculus (pleas help!)

    Find the slope of the tangent line to the ellipse x^2/36 + y^2/49 =1 at the point (x,y). slope =_______ Are there any points where the slope is not defined?
  5. Calculus

    Find equations of both the tangent lines to the ellipse x^2 + 4y^2 = 36 that pass through the point (12, 3). smaller slope y= larger slope y=
  6. Calculus

    slope of tan line to the ellipse is -4x/y for x^(2)/4+y^(2)/16 Are there any points where the slope is not defined?
  7. Algebra 1 help

    Can someone tell me if my answers are right and explain how you got each one thank you very much ! 1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)?
  8. Math

    Ben and phoebe are finding the slope of a line. Ben chose two points on the line and used them to find the slope, phoebe used two different points to find the slope. did they get the same answer?
  9. math

    An ellipse and a hyperbola have the same foci, $A$ and $B$, and intersect at four points. The ellipse has major axis 50, and minor axis 40. The hyperbola has conjugate axis of length 20. Let $P$ be a point on both the hyperbola and …
  10. algebra

    Please help with this problem: An ellipse and a hyperbola have the same foci, $A$ and $B$, and intersect at four points. The ellipse has major axis 50, and minor axis 40. The hyperbola has conjugate axis of length 20. Let $P$ be a …

More Similar Questions