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If 8.5 by 11 paper is available to make a box with a square base and an open top, find the largest possible volume of the box.
Determine the amplitude, period and phase shift of Y = ½ sin (x+π) and graph one period of the function.
Find whether the given statements are true or false - Which of the following are statement?
Mike, who is standing on the deck of a yacht that is traveling due west at 6km/h, sees a sailboat sailing southwest at 4km/h, 3 km northwest of the yacht. How close to each other do these boats get?
Apply Chi Square test of independence to test whether there exists any association between two variables.
Find the equation of a line perpendicular to the line: x = 4 ,and passing through the point: (4,2). Draw a graph of the following linear function and give the domain and range:
What is the marginal productivity of labor and marginal productivity of capital when the amounts expended on labor and capital are 625 work-hour and $10,000 respectively.
The ice sculpture is a solid with base R. Cross sections of the sculpture perpendicular to the x-axis are right triangles with the hypotenuse of the triangle in the base. Find the volume of ice that is discarded when creating the sculpture.
Mary and Tom park their cars in an empty parking lot with n≥2 consecutive parking spaces (i.e, n spaces in a row, where only one car fits in each space). Mary and Tom pick parking spaces at random. (All pairs of parking spaces are equally likely.)..
the speed of a passenger train is 14 mph faster than the speed of a freight train. The passenger train travels 280 miles in the same time it takes the freight train to travel 210 miles. Find the speed of each train.
An arrow shot straight up into the air reached a height of 75m. With what velocity did it leave the bow? How long was the arrow in the air?
Find the equation of the circle with center at the intersection of 4x + y - 4 = 0 and x - y - 6 = 0 and passing through (-1, -3). What is the equation of the circle passing through (12, 1) & (2, -3) and having its center on the line 2x - 5y + 10 = 0..
Find all subfields of Q ( sqrt2, sqrt 3) with proof that you have them all. What is the minimal polynomial of sqrt2+ sqrt3? Which subfields does it generate over Q?
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