Question
In: Math
In the figure below you see an ellipse which is enclosing a rectangle The equation of...
In the figure below you see an ellipse which is enclosing a rectangle
The equation of ellipse is given by
x^2/4 + y^2 = 1
Find the length(L) and width (W) of the the rectangle which will maximize its area,( A). What is max(A) ?
Note: Cant upload the figures but i think the equation of ellipse is enough. the rectangle should be fitting inside the ellipse.
Solutions
milcah answered 2 years agoRelated Solutions
A rectangle is to be inscribed in the ellipse (xb)^2+y^2=1, where b>0 is an unknown real...
A rectangle is to be inscribed in the ellipse (xb)^2+y^2=1,
where b>0 is an unknown real number.
What should the dimensions of the rectangle be (in terms of b)
to maximize its area? What is the maximum area (again, in terms of
b)?
Find the equation of the ellipse with foci at (0, 0) and (2, 2), with eccentricity...
Find the equation of the ellipse with foci at (0, 0) and (2, 2),
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ax2 + by2 + cxy + dx + ey = f and in terms of the distance formula
sqrt(x^2+y^2) + sqrt[(x-2)^2 +(y-2)^2]=?
There is an answer posted on Chegg, but I don't think I agree
with it. Since the foci are at (0, 0) and (2, 2) it seems that the
major axis is rotated...
An equation of an ellipse is given. 2x^2 + 64y^2 = 128 (a) Find the vertices,...
An equation of an ellipse is given. 2x^2 + 64y^2 = 128 (a) Find
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(smaller x-value) vertex(x, y)= (larger x-value) focus(x, y)=
(smaller x value) focu (x, y)= (larger x-value) eccentricity (b)
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Find an equation of the ellipse with foci at (−4,3) and (−4,−9)
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You are designing the top of a pencil pouch that consists of a
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semicircle will be made from material that costs 1ct per square
centimeter. The material of the rectangular part costs 4ct per
square centimeter. The perimeter of the pouch must be 80cm. How do
you have to choose the radius and the 'open' side of the rectangle
so the cost is minimal? Before you start, label...
Use De Broglie's equation (see below) to determine the velocity of a proton if it has...
Use De Broglie's equation (see below) to determine the velocity
of a proton if it has a wavelength of 2.13E-15 meters. Planck's
constant = 6.626E-34 J*s Speed of light = 3.00E8 m/s 1 cal = 4.184
J 1 g = 6.022E23 amu Mass of electron: 5.4858E-4 amu Mass of
neutron: 1.00866 amu Mass of proton: 1.00728 amu λ = h mv Where λ
has units of meters m is mass in kg v is velocity in m/s
Mounted on a low-mass rod of length 0.20 m are four balls (see figure below)
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A stationary bicycle wheel of radius 0.8 m is mounted in the vertical plane (see figure below)
A stationary bicycle wheel of radius 0.8 m is mounted in the
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that are not shown, and the wheel is free to rotate on the nearly
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0.5 kg falls and sticks to the outer edge of the wheel at the
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Nitrogen (N2) goes through a constant area pipe (see figure below) at a mass rate of...
Nitrogen (N2) goes through a constant area pipe (see figure
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Nitrogen (N2) goes through a constant area pipe (see figure below) at a mass rate of...
Nitrogen (N2) goes through a constant area pipe (see figure
below) at a mass rate of 2 kg/s. It enters the pipe with a velocity
of 17 m/s, a pressure of 500 kPa and a temperature of 177 C. It
leaves the pipe at the same pressure (500 kPa) and a temperature of
67 C. The molar mass of N2 is 28 kg/kmol. Determine: a) The cross
sectional area of the pipe in m2 . b) The velocity at the...
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