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When we graph a linear equation, the graph is a line. What do the points on the line represent? When we graph a system of equations, what does the point of intersection represent?
A metal storage tank with a mximum volume of 1200 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
Find the component form of the vector v that has an initial point at (1,-2,2) and a terminal point at (3,-3,0) find the component form of the vector w if ||w||=4 and points in the direction opposite v. hint: normalize v first.
Two planes left an airport at noon. one flew east at a certain speed and the other flew west at twice the speed. The planes were 2700 mi. apart in 3 hours. how fast was each plane flying?
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.
Sketch the graph of the solid bounded by Z^2 = X^2 + 4Y^2 and the Plane Z = 1, and hence evaluate its volume by triple integration.
A rebtangular reservior contains 42000 litres of water.find the depth of water in the reservior if its base measures 6m by 3.5m.
Suppose that (a_n) ^ infinity, n=m is a convergent sequence of real numbers. Then (a_n) ^ infinity, n=m is also a Cauchy sequence
Important information about Probability and Statistics Find the probability distribution of the value x. mean , variance and standard derivation
Which of the following statements is true regarding the F - distribution?
John sells his house and earns a profit of $600,000. With the profit, he buys a 20 year annuity that earns 6.5% interest compounded monthly. What monthly payment will John get?
A 26 foot is placed against a vertical wall of a building with the botton of the ladder standing on level ground 10 feet from the base of the building. how high up the wall does the ladder reach.
Find the length of the sides parallel to the store and perpendicular that will maximize the total area of the outdoor enclosure.
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