Find the gradient field of the function.f(x, y, z) = 
A. ?f = - 
i - 
j - 
k
B. ?f = - 
i - 
j - 
k
C. ?f = 
i + 
j + 
k
D. ?f = 
i + 
j + 
k
Answer: A
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Solve the problem.An amusement park safety inspector plans to leave his home in Cincinnati, Ohio to inspect roller coasters at parks in the following cities: Williamsburg, Virginia; Atlanta, Georgia; Cleveland, Ohio; and Myrtle Beach, South Carolina. The costs of one-way flights between these locations are listed below:
a) Represent this traveling salesman problem with a complete graph showing the costs on the appropriate edges.b) Use the Nearest Neighbor method to approximate the optimal route for the inspector to travel to each city and return to Cincinnati. Give the cost of the route found.c) Randomly select another route from Cincinnati to the other cities and compute the cost of
this route. Compare this cost to the cost found in part (b). What will be an ideal response?
A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, and distribution approximated by a normal curve. Find the approximate number of bulbs that can be expected to last the specified period of time.Between 290 hours and 540 hours
A. 3190 B. 1641 C. 1639 D. 3188
Solve the equation for the specified variable.S = 2?rh + 2?r2 for h
A. h = 2?(S - r)
B. h = 
- 1
C. h = S - r
D. h = 
Find the partial fraction decomposition for the rational expression.
A. 2x + 5 - 
+ 
B. 2x - 5 - 
+ 
C. 2x - 5 - 
+ 
D. 2x + 5 - 
+ 