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Compute the flux of the vector field F=<x+z,1,z> through the surface S given by y=x^2+z^2, 1/4<=x^2+z^2<=1 oriented away from the y-axis.
Find the percentage of customers spent less than $20
Find the number of committees from the given information - How many 5 card poker hands can be performed from a deck of 52 cards?
A chord of length 26mm is drawn in a circle of 35mm diameter. What are the lengths of the smaller and larger arcs into which the circumference is divided?
Create an integral whereby you are forced to use all four types of integration. Work the problem and explain why each (u-substitution, trig substitution, fractions, parts) are all needed.
The dimensions of a closed rectangular box are measured as 95 cm, 52 cm, and 12 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
Suppose you have 82 feet of fencing to enclose a rectangular dog pen. The function A = 31x - x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the neare..
A Norman window consists of a rectangle surmounted by a semicircle. What shape gives the most light for a given perimeter?
define the term linear inequality, then explain what it means to solve a linear inequality. Explain how the solution to the inequality 2x-5
Find the distance from the origin to the line passing through the point P(3,1,5) and having the direction vector v=2i-j+k.
How much should he invest in each to maximize his return? Assume the investment returns are as expected.
If there are 50 pieces of data which range from 0 to 100: With a mean of 60 and Root mean square deviation of 8 show that only 1 piece of data can equal 100
Combining the information above, find the probability that the xth opportunity is a close call (that it occurs immediately before the nth shock).
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