The graph of a function is sketched below.
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Determine the interval on which the function is decreasing.
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A. (-?, -3] ? [-1, ?)
B. ?[-3, -1]
C. ?[-1, -1]?
D. ?[1, 3]?
E. (-?, -3] ? [-1, ?)?
Answer: B
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Solve the problem.Let D be the smaller cap cut from a solid ball of radius 10 units by a plane 7 units from the center of the sphere. Set up the triple integral for the volume of D in rectangular coordinates.
A. 
B. 
C. 
D. 
Add:
9 /30è 6 /30è a. 7.5 /15è b. 10.8 /30è c. 10.8 /60è d. 15 /30è e. 15 /60è
Provide an appropriate response.Consider the equation 5(-3 - x) + x = 14x - 5(3 - x). Now consider the following system of equations solvable by the substitution method: y = 5(-3 - x) + x y = 14x - 5(3 - x).Explain the connections that exist between the single equation and the system of two equations.
What will be an ideal response?
A culvert is constructed out of large cylindrical shells cast in concrete, as shown in the figure. The volume of the cylindrical shell is
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Factor it.
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A. 
B. 
C. 
D. 
E. 