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Jane works due north of home. Her husband Ben works due east. They leave for work at the same time. By the time Jane is 3 miles from home, the distance between them is on mile more then Ben's distance from home. How far from home is Ben?
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.
Describe (in words) two different sets of people containing you as a member. Describe (in words) the complement of each set. Describe what people are not in either the original set or the complement set.
A hemisphere of radius 7 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
A triangle with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest..
A printed poster is to have a total area of 603 square inches with top and bottom margins of 4 inches and side margins of 3 inches. What should be the dimensions of the poster so that the printed area be as large as possible?
The demand for a certain product is 2x + 5p = 60, where p is the unit price and x is the quantity demanded of the product. Find the elasticity of demand when p = 6.
Smalltown Elevator produces elevator rails. To meet specifications, an elevator rail must be between 0.995 inches and 1.005 inches in diameter. Suppose that the diameter of an elevator rail follows a normal random variable with mean of 1 inch
How fast is the object moving 9s after being thrown?
Carol and David decide to play a game as follows: Carol draws and keeps a card from a shuffled pack number 1 to 6.
ABCD is a cross-section of a uniform rectangular block of mass 20kg. AB is 0.75m and BC is 1m. The block rests with A on rough horizontal ground with AB at 20 degrees to the horizontal.
Trigonometric formulas and identities.
Let G be a simple graph with no isolated vertex and no induced subgraph with exactly two edges. Prove that G is a complete graph. (Please read carefully the definition of an induced subgraph before you attempt to solve it!).
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