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Find coordinate of centroid using multiple integral method.
Let G be the three dimensional region above the paraboloid z = x2 + y2 but below the plane z = 2. You are given the fact that the volume of G is 2. Calculate the z-coordinate of the centroid of G.
At a certain time, the temp is maintained constant, the P=100ln/in^2 and is increasing at 4 lb/in ^2. At what rate is the volume changing when it is 60 in^3?
Two weather tracking stations are on the equator 146 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and on a bearing of N 23°E from the eastern station. How far is the balloon from the western station?
A=(LP)/2-L^2, gives the area of a rectangle of perimeter P and length L. Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land.
Find all lines through the point (2,1) that are tangent to parabola y=xsquared. What properties of parabolas and formulas do you use to solve this problem?
Suppose you just received a shipment of SIX televisions. THREE of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one does not work?
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing w..
How long should each piece of the wire be to minimize the total area? What is the radius of the circle? How long is each side of the square?
if
A plane is heading due south with an airspeed of 288 mph. A wind from a direction of 58° is blowing at 20 mph. Find the bearing of the plane.
The car can be ordered in any one of seven exterior colors. How many different cars can be ordered?
A plane heads on a bearing of 210* at 500 mph; the winds at the cruising altitude are 75 mph from the southwest to the north east.
Which of the following is not a characteristic of an ideal statistician?
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