Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = 30xz5i + 9yj - 5z6k; D: the solid wedge cut from the first quadrant by the plane  and the elliptic cylinder x2 + 16y2 = 49

A.
B.
C.
D.


Answer: D

Mathematics

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Solve the problem.The rate of water usage for a business, in gallons per hour, is given by  where t is the number of hours since midnight. Find the average rate of water usage over the interval 

A. 0.07 gallons per hour B. 4.24 gallons per hour C. 4.09 gallons per hour D. 4.12 gallons per hour

Mathematics

Solve the problem.The annual population density of a species of insect after n years is modeled by a sequence. Suppose that the initial density of insects is 662 with r = 0.7. Write a recursive sequence that describes this data, where an  denotes the insect density during year n.

A. an = 0.7 an+1  , a1 = 331
B. an = 0.7 an-1  , a1 = 662
C. an =   , a1 = 662
D. an = 0.7 + an-1  , a1 = 662

Mathematics

Find the grade point average for a student earning the following grades. Assume     and   Round answer to the nearest hundredth.-49.0px;" /> A. 3.00 B. 2.00 C. 4.00 D. 7.80

Mathematics

Solve the problem.The gas mileage M of a truck using G gallons of diesel fuel to travel a distance of 72 miles is given by  Complete the table to find the number of gallons used by a truck traveling 72 miles if the truck gets  24 miles per gallon.  

A. 2 B. 3 C. 1 D. 4

Mathematics