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Find the surface integral where f=(x^2+y^2)z and S is the sphere x^2+y^2+z^2=36 above z=5.
Parameterize the surface integral.
Flying against the jetstream, a jet travels 4550km in 7 hours. Flying with the jetstream, the same jet travels 5340km in 6 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
Explain what is meant by a universal set. Give a real world example of two universal sets. Be sure to first clearly define the two sets.
A transformer is rated at 629 VA and has a primary voltage of 435 V and a secondary voltage of 133 V. Calculate the load factor (in %) that would result in maximum operating efficiency at unity power factor
An open-top box is to be made from a square piece of cardboard. What are the dimensions and volume of the largest box that can be made in this way?
Find the rate of change of the angle of elevation of the airplane from the observer when the angle of elevation is 45 degrees?
A conical tank (with vertex down) is 12 feet across the top and 14 feet deep. Water is flowing into the tank at the rate of 11 cubic feet per minute, find the rate of change of depth of water when the water is 6ft deep.
Assume that maintenance repair times are distributed normally and that the MTTR is 60 minutes. Standard deviation is 20 minutes. What percent of the total population lies below 65 minutes?
Find all the complex cube roots of w= 8(cos 150 + i sin 150). Write the roots in polar form with theta in degrees.
Division of labor or specialization is an inevitable task in a business entity. Define the term division of labor?
Let R be the shaded region bounded by the graphs of y=sqaure root of x, and y=e to the power of -3x, and the vertical line x=1.
A swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 4 ft at the south end to 5 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whole..
Determine how much you will have at retirement using the values - how much will that cost you in interest? How about 10 years? How about just 1 year?
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