Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = -4y3i + 4x3j + 8z3k ; C: the portion of the paraboloid x2 + y2 = z cut by the cylinder 
A. 972?
B. -972?
C. - 486?
D. 486?
Answer: C
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Use the two steps for solving a linear programming problem to solve the problem.An automotive glass plant must be able to fill orders for 230 truck windshields, 350 auto windshields, and 310 RV windshields. Because the first shift crews are more experienced, they are each able to make 7 truck windshields, 12 auto windshields, and 9 RV windshields. The second shift crews are able to produce 4 truck windshields, 12 auto windshields, and 7 RV windshields. The more experienced first shift crews cost the company $360.00 per crew per shift and the second shift crews each cost $310.00 per shift. The company's facilities will handle at most 50 crews on each shift, and they must have at least 10 crews come in to keep the plant running. How many first shift and how many second shift crews should
they schedule to minimize costs? A. 37 first shift crews and 36 second shift crews B. 51 first shift crews and 17 second shift crews C. 43 first shift crews and 24 second shift crews D. 28 first shift crews and 10 second shift crews
Solve the problem.Suppose you purchase a eight-year bond with an APR of 
%. The face value of the bond is $6210. Find the purchase price of the bond.
A. $4713.75 B. $3445.41 C. $3465.99 D. $3366.96 E. $4500
Find the mean. Round to the nearest tenth when necessary.The numbers of tickets sold in the five days preceding the play were as follows: 78, 59, 78, 96, 59
A. Mean = 74.5 tickets B. Mean = 73.5 tickets C. Mean = 74 tickets D. Mean = 92.5 tickets
Solve the problem.Mieko, who is 1.79 m tall, wishes to find the height of a tree. She walks 23.56 m from the base of the tree along the shadow of the tree until her head is in a position where the tip of her shadow exactly overlaps the end of the tree top's shadow. She is now 8.48 m from the end of the shadows. How tall is the tree? Round to the nearest hundredth.
A. 2.80 m B. 6.76 m C. 4.97 m D. 0.64 m