math (pre clac)

posted by .

so its this picture of a rectangle inscribed in a circle. the circle has a radius of 2. the vertexes of the circle are present in every quadrant, but you cant tell exactly whgat point they represent. point Q (x,y) is the vertex of the rectangle in Quadrant I and is on the circle. the equation of the circle is : x^2 + y^2 = 4
a.) express the area of the rectangle as a function of x.
b.) give the domain of the area
c.) epxress the perimeter as a function of x.
d.) give the domain of Q
PLEASE HELP IM SO LOST. and friday afternoon is my scheduled math homework day. (dont ask im psycho) please this is bother ing me like crazyy

  • math (pre clac) -

    a)
    x^2 + y ^2 = 4
    area = 4 |x y| (so it works in each quadrant)
    y = sqrt(4-x^2)
    area = 4 x sqrt(4-x^2)

    b)
    the area can be 0 (at x = 0 and x = 2)and it has a maximum at x = y = sqrt 2
    to show that take derivative and set to zero
    0 = -4 x^2/sqrt(4-x^2) +4 sqrt(4-x^2)
    0 = -4x^2 + 16 - 4 x^2
    8 x^2 = 16
    x = sqrt 2
    so domain of area is 0 to x = sqrt 2 where the area is 8

    c)
    L = 2 x + 2 y
    = 2 x + 2 sqrt(4-x^2)
    = 2 ( x + sqrt (4-x^2))

    d)
    Q goes from x = 0 to x = 2 in Quadrant 1

  • math (pre clac) -

    What do you mean?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Pre-Calc (Circles)

    Describe the conditions necessary, where circle A has a larger radius than circle B, for the two circle to have no points of intersection, while circle B is entirely in the interior of circle A.
  2. physics

    A circle with a radius of R is inscribed in a square. On the corner of the square are point charges of +q, +q, -q, and +q. On the circle are charges of +2q, +2q, -q, and +q. (See sketch.) If q = 4.8 micro-coulombs, and the total potential …
  3. gEoMeTrY iNsCrIbEd AnGlEs MuLtIpLe ChOiCe QuEsTiOn

    A satellite, B, is 17,000 miles from the horizon of Earth. Earth’s radius is about 4,000 miles. Find the approximate distance the satellite is from the Earth’s surface. {The picture is a circle with point O in the center, point …
  4. GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION

    segment BC is tangent to circle A at B and to circle D at C. (Not drawn to scale) AB=10 BC=25 and DC=3. Find AD to the nearest tenth. Hint: Draw an auxiliary line from D to segment BA. {There are two circles, the larger one has point …
  5. geometry circle

    A 16 cm by 12 cm rectangle is inscribed in a circle.. find the radius of the circle. ~answer
  6. GEOMETRY CIRCLES PLEASE

    1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b such …
  7. GEOMETRY CIRCLE

    1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b such …
  8. GEOMETRY CIRCLES PLEASE

    HELP ME PLEASE. 1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is …
  9. calculus

    There is a shape first a regular triangle inscribed in a circle, and inscribed in a square, inscribed in a circle, inscribed in a pentagon, etc. so polygon circle polygon circle, etc. the radius of the first circle is 1, find an equation …
  10. Math

    A circle of radius greater than 9 cm is inscribed in the square ABCD. A point P on the circle is 8 cm from side AB of the square, and 9 cm from side AD. What is the radius of the circle?

More Similar Questions