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A metal storage tank with a maximum volume of 1500m^3, is to be constructed in the shape of a right circular cylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
Define a relation R as the set of all pairs of bit strings (x, y) where x and y are bit ?strings with the same number of 0's. Prove R is an equivalence relation.
Graph by hand the curve whose parametric equations are given and show its orientation. Find the two different parametric equations for the rectangular equation
The length of a swimming pool is 22 ft. The width is 40 ft. If the volume of the pool is 2,500 ft³, which equation below could be used to find the depth of the pool?
The population standard deviation of the IQ test is 15 for all people in the United States. If a random sample of 225 people has a sample mean of 100, what is the 68% confidence interval for the population mean?
two cars start moving from the same point. one travels north at 30mi/h and the other travels east at 40mi/h. At what rate is the distance between the cars increasing 30 minutes later?
Please describe the following: How do you find the length of the hypotenuse of a triangle?
You have a wire that is 38 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What i..
Find the difference in the average number of people
A tree stands on a hillside of slope 28 degrees from the horizontal. From a point 75 feet down the hill, the angle of elevation to the top of the tree is 45 degrees. Find the height of the tree.
suppose the rectangular plot runs along a building, so that you need to fence only three sides. What dimensions will now yield a maximum area with 100 meters of fencing?
The bucket is filled with 40 pounds of water and is pulled up at a rate of 2.7 feet per second, but water leaks out of a hole in the bucket at a rate of 0.1 pounds per second. Find the work done pulling the bucket to the top of the well.
the base of a solid is an ellipse whose major axis and minor axis are 12 and 8cm long, respectively. what is the volume of the solid if every section perpendicular to the major axis is an is an equilateral triangle.
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