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Given the vector field F=3yi + (5-2x)j + ((z^2)-2)k find
a) div F
b) curl F
c) the surface integral of the normal component of curl F over the open hemispherical surface (x^2)+(y^2)+(z^2)=4 above the xy plane
Hint: by a double application of Stokes theorem, part c can be reduced to a triviality
Graph y=sinx + cosx restricted to 0
A vat with 600 gallons of beer contains 4% alcohol (by >volume). Beer with 6% alcohol is pumped into the vat at a rate of 6 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour?
Solve the system of linear equations. If the unique solution does not exist state weather the system is inconsistent or dependent.
Find the directional derivative of the function at the given point in the direction of the vector v.
ased upon statistical studies it has been found that 3.32% of all births in the United States will result in twins being born. If 17,300 births are selected at random what is the probability that: Find the Probability of Twin Births
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An element e of a monoid M is called an idempotent if e^2 = e. If M is finite, show that some positive power of every element is an idempotent.
Calculate the mode
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The solution to minimization, The ABC small-scale industry has production facilities for two different products. Each of the products requires three different operations
What is the probability that a random sample of 50 such women will yield a mean entry-level that exceeds $58,000?
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