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the elliptical orbit of mars has its foci at 0141732 0 and 0141732 0 where 1 unit equals 1 au the length of the major
according to boyles law the pressure p in kilopascals exerted by a gas varies inversely as the volume v in cubic
two ranger stations located 4 miles apart observe a lightning strike a ranger at station a reports hearing the sound of
a ceiling fan has four evenly spaced blades that are each 2 feet long suppose the center of the fan is located at the
automotive automobile headlights contain parabolic reflectors which work on the principle that light placed at the
1 consider the equation 2y2 16y 16x 64 0 identify the coordinates of the vertex and focus and the equations of the
for the equation of each parabola find the coordinates of the vertex and focus and the equations of the directrix and
1 write the standard from of the equation of the line that has a normal 3 units long and makes an angle of 60deg with
find the rectangular equation of the curve whose parametric equations are given then graph the equation using arrows to
triangle qrs has sides of lengths 14 19 and t where t is the length of the longest side if t is the cube of an integer
communications a satellite dish tracks a satellite directly overhead suppose the equation models the shape of the dish
identify the graph of each equation then determine the minimum angle of rotation needed to transform each equation so
manufacturing a cam in a punch press is shaped like an ellipse with the equationthe camshaft goes through the focus on
consider the equation a determine the minimum angle of rotation needed to transform the graph of this equation to a
suppose the equation models the shape of a reflecting mirror in a telescopea determine whether the reflector in the
1 a boat heads due west across a lake at 8 ms if a current of 5 ms moves due south what is the boats resultant
write a system of equations involving two different conic sections that has exactly one solution the origindescribe the
gardening a garden contains two square flowerbeds the total area of the flowerbeds is 680 square feet and the second
carrie has 150 meters of fencing material to make a pen for her bird dog she wants to form a rectangular pen with an
1 use the o key to let the user toggle between the blue cube and red cube this lets the user manipulate either object2
carpentry for a remodeling project a carpenter is building a picture window that is topped with an arch in the shape of
a satellite orbiting earth follows an elliptical path with earth at its center the eccentricity of the orbit is 02 and
gardening migina bought a new sprinkler that covers part or all of a circular area with the center of the sprinkler as
in a science fiction movie astronomers track a large incoming asteroid and predict that it will strike earth with