Solve the problem.Let D be the region that is bounded below by the cone 
and above by the sphere 
Set up the triple integral for the volume of D in spherical coordinates.
A. 
B. 
C. 
D. 
Answer: B
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Solve the problem.Find the vector from the origin to the center of mass of a thin triangular plate (uniform density) whose vertices are A(6, 1, 5), B(5, 3, 9), and C(2, 5, 9).
A. 
i - 2j - 
k
B. 
i - 1j - 
k
C. 
i + 3j + 
k
D. 
i - 3j - 
k
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
Find an equation of the inverse relation.x = y - 6y2
A. y = x + 6x2 B. y = x - 6y2 C. y = x + 6y2 D. y = x - 6x2
Use the graph and the factor theorem to list the factors of f(x).y = f(x)
A. (x + 2), (x + 3) B. (x - 2), (x - 3) C. x, (x + 2), (x + 3) D. x, (x - 2), (x - 3)