Solve the standard minimization problem using duality.
?
Minimize
?
subject to
?
If you have several solutions, select one of them.
?

A.  , , ,
B. ?, , ,
C. ,,,
D. ?,,,
E. ?,,,


Answer: B

Mathematics

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Solve the problem.Find an upper bound for  in estimating  with n = 6 steps.

A.
B.
C.
D.

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The figure shows the graph of a function. At the given value of x, does the function appear to be differentiable, continuous but not differentiable, or neither continuous nor differentiable?x = 1

A. Differentiable B. Continuous but not differentiable C. Neither continuous nor differentiable

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Provide an appropriate response.Graph the following equation:  x - 2y = 4 using the slope and y-intercept.

What will be an ideal response?

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Solve the problem.The temperature of water in a certain lake on a day in October can be determined by using the model  where x is the number of feet down from the surface of the lake and y is the Celsius temperature of the water at that depth. Based on this model, how deep in the lake is the water 8 degrees? Round to the nearest foot.

A. 43 ft B. 13 ft C. 69 ft D. 32 ft

Mathematics