posted by .

I seriously do not understand anything about this problem Please help.

The equation of an ellipse centered at the origin is
(x^2/a^2) + (y^2/b^2)=1
The area of the upper half of the ellipse can be determined by finding the area between the ellipse and the x-axis (y=O). The total area of the ellipse is twice the area of the upper half.
(a) Solve the equation of the ellipse for y.(You will obtain two solutions,since there are two y values on the ellipse at every x value). Verify that the positive y values are returned by
y=b/a*square root -(x^2)+a^2
Please help me.

  • Calculus -

    solve for y:


    y= +-b(sqrt(1-x^2/a^2))

    if you want the form of the equation at end, multiply the right side by a/a
    y= +-b/a sqrt(a^2-x^2)

    Now verify by putting this into the original equation.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Maths Important

    How would you draw the graph of this x^2/16 + y^2 = 1 ( this is an ellipse if I'm not mistaken) I'm confused since y^2 has no value beneath it. so what would the coordinates be for this. the same problem with this one x^2/16 - y^2 …
  2. geometry

    The area of an ellipse in the form (x*x/a*a)+(y*y)/(b*b)=1 is A=3.14*ab. For this ellipse, a+b=20. a. write the area of the ellipse as a function of a. b. Find the equation of the ellipse with an area of 264 square centimeters. c. …
  3. Pre-CALC

    Can anyone help me with this problem step by step please... Find the area inside the ellipse in the xy-plane determined by the given equation x^2 y^2 ____ + ___ =1 10 25
  4. pre-calculus

    the foci of an ellipse are (0,2) (0,-2) and the eccentricity is 1/2. determine the equation of the ellipse. write your answer in standard form.
  5. Calculus!!! please email me at 969e221 at g mail. com here is the question: Find the trapezoid of largest area that can be inscribed in the upper half of the ellipse x2/9 + y2/4 = 1 where the lower base of the trapezoid is on the …
  6. Precalculus

    Let a and b be real numbers. Describe the graph of r = a(cos(theta)+b) as much as possible. (The intent of this question is to get as specific a description as possible that holds for all possible values of a and b. For example, if …
  7. Calculus

    Write the definite integral for the area of the region lying in the upper half of the ellipse given by 4x^2+y^2=4
  8. Precalculus Trig (Geometry)

    A rectangular doorway is 38 meters wide and 60 meters high. The doorway is capped with a semi-ellipse that is 13 meters high at its center. Find the height h of the doorway and window 5 meters from the center. From the ellipse equation, …
  9. Integral calculus

    find the area of the surface generated by revolving about x-axis the upper half of the ellipse 4x^2 + 16y^2 = 64
  10. Algebra

    John is planning to build an arched trellis for the entrance to his botanical garden. The arch is to be in the shape of the upper half of an ellipse that is 4 feet wide at the base and 7 feet high. Find the equation for the ellipse …

More Similar Questions