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A cylindrical drum has a diameter of 2.5 feet and stands 4 feet high. What is the volume of the drum?
Show the mass as triple integral and solve the integral using spherical polar coordinate and Use the spherical coordinate integral to evaluate
Find the interest rate needed for an investment of $3600 to double in 6 yr if interest is compounded continuously. (Round your answer to two decimal places.)
Assume that f(z) is analytic at the origin and f(0) = first derivative of f at 0 = 0. Prove that f(z) can be written in the form f(z) = [z^2]g(z), where g(z) is analytic at z = 0.
In a certain population of people, 20% are blue-eyed and 80% are brown-eyed. Also, 6% of the blue-eyed people are left-handed and 14%of the brown-eyed people are left-handed.
Probability and chance A prison has 20 balls, 10 black and 10 white. The prisoner is to arrange the balls in 2 boxes. All of the balls must be used and there must be at least one ball in each box.
Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)= 0.1x^2-1.4x+5.509, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average co..
in 2002 approximately 5 exabytes of information were generated by the worldwide population of 6.3 billion people. given that 1 exabyte is 10^12 megabytes find the average number of megabytes of information generated per persona in 2002.
What radius produces such a disk?
A package contains 38 fuses, of which 5 are defective. A sample of 4 fuses is selected at random.
A woman on the top of a 448 foot high building spots a small plane. As she views the plane, its angle of elevation is 62 degrees.
Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students x=px,0=4/27,1=1/27, 2=5/9, 3=?, 4=5/2
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..
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