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Suppose a manufacturer has determined that the total cost C of operating a factory is Suppose a manufacturer has determined that the total cost C of operating a factory is where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.) A) B) C) D) E) where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.)


A) Suppose a manufacturer has determined that the total cost C of operating a factory is where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.) A) B) C) D) E)
B) Suppose a manufacturer has determined that the total cost C of operating a factory is where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.) A) B) C) D) E)
C) Suppose a manufacturer has determined that the total cost C of operating a factory is where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.) A) B) C) D) E)
D) Suppose a manufacturer has determined that the total cost C of operating a factory is where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.) A) B) C) D) E)
E) Suppose a manufacturer has determined that the total cost C of operating a factory is where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.) A) B) C) D) E)

F) B) and D)
G) B) and E)

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Find all points of inflection on the graph of the function Find all points of inflection on the graph of the function . A) B) C) D) E) .


A) Find all points of inflection on the graph of the function . A) B) C) D) E)
B) Find all points of inflection on the graph of the function . A) B) C) D) E)
C) Find all points of inflection on the graph of the function . A) B) C) D) E)
D) Find all points of inflection on the graph of the function . A) B) C) D) E)
E) Find all points of inflection on the graph of the function . A) B) C) D) E)

F) A) and B)
G) A) and E)

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Determine the open intervals on which the graph of the function Determine the open intervals on which the graph of the function is concave upward or concave downward. A) concave upward: ; concave downward: B) concave upward: ; concave downward: C) concave upward: ; concave downward: D) concave upward: ; concave downward: E) concave upward: ; concave downward: is concave upward or concave downward.


A) concave upward: Determine the open intervals on which the graph of the function is concave upward or concave downward. A) concave upward: ; concave downward: B) concave upward: ; concave downward: C) concave upward: ; concave downward: D) concave upward: ; concave downward: E) concave upward: ; concave downward: ; concave downward: Determine the open intervals on which the graph of the function is concave upward or concave downward. A) concave upward: ; concave downward: B) concave upward: ; concave downward: C) concave upward: ; concave downward: D) concave upward: ; concave downward: E) concave upward: ; concave downward:
B) concave upward: Determine the open intervals on which the graph of the function is concave upward or concave downward. A) concave upward: ; concave downward: B) concave upward: ; concave downward: C) concave upward: ; concave downward: D) concave upward: ; concave downward: E) concave upward: ; concave downward: ; concave downward: Determine the open intervals on which the graph of the function is concave upward or concave downward. A) concave upward: ; concave downward: B) concave upward: ; concave downward: C) concave upward: ; concave downward: D) concave upward: ; concave downward: E) concave upward: ; concave downward:
C) concave upward: Determine the open intervals on which the graph of the function is concave upward or concave downward. A) concave upward: ; concave downward: B) concave upward: ; concave downward: C) concave upward: ; concave downward: D) concave upward: ; concave downward: E) concave upward: ; concave downward: ; concave downward: Determine the open intervals on which the graph of the function is concave upward or concave downward. A) concave upward: ; concave downward: B) concave upward: ; concave downward: C) concave upward: ; concave downward: D) concave upward: ; concave downward: E) concave upward: ; concave downward:
D) concave upward: Determine the open intervals on which the graph of the function is concave upward or concave downward. A) concave upward: ; concave downward: B) concave upward: ; concave downward: C) concave upward: ; concave downward: D) concave upward: ; concave downward: E) concave upward: ; concave downward: ; concave downward: Determine the open intervals on which the graph of the function is concave upward or concave downward. A) concave upward: ; concave downward: B) concave upward: ; concave downward: C) concave upward: ; concave downward: D) concave upward: ; concave downward: E) concave upward: ; concave downward:
E) concave upward: Determine the open intervals on which the graph of the function is concave upward or concave downward. A) concave upward: ; concave downward: B) concave upward: ; concave downward: C) concave upward: ; concave downward: D) concave upward: ; concave downward: E) concave upward: ; concave downward: ; concave downward: Determine the open intervals on which the graph of the function is concave upward or concave downward. A) concave upward: ; concave downward: B) concave upward: ; concave downward: C) concave upward: ; concave downward: D) concave upward: ; concave downward: E) concave upward: ; concave downward:

F) A) and E)
G) A) and D)

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Find the points of inflection and discuss the concavity of the function Find the points of inflection and discuss the concavity of the function on the interval . A) concave down on ; no points of inflection B) concave downward on ; concave upward on ; inflection points at and C) concave upward on ; concave downward on ; inflection points at and D) concave up on ; no points of inflection E) none of the above on the interval Find the points of inflection and discuss the concavity of the function on the interval . A) concave down on ; no points of inflection B) concave downward on ; concave upward on ; inflection points at and C) concave upward on ; concave downward on ; inflection points at and D) concave up on ; no points of inflection E) none of the above .


A) concave down on Find the points of inflection and discuss the concavity of the function on the interval . A) concave down on ; no points of inflection B) concave downward on ; concave upward on ; inflection points at and C) concave upward on ; concave downward on ; inflection points at and D) concave up on ; no points of inflection E) none of the above ; no points of inflection
B) concave downward on Find the points of inflection and discuss the concavity of the function on the interval . A) concave down on ; no points of inflection B) concave downward on ; concave upward on ; inflection points at and C) concave upward on ; concave downward on ; inflection points at and D) concave up on ; no points of inflection E) none of the above ; concave upward on Find the points of inflection and discuss the concavity of the function on the interval . A) concave down on ; no points of inflection B) concave downward on ; concave upward on ; inflection points at and C) concave upward on ; concave downward on ; inflection points at and D) concave up on ; no points of inflection E) none of the above ; inflection points at Find the points of inflection and discuss the concavity of the function on the interval . A) concave down on ; no points of inflection B) concave downward on ; concave upward on ; inflection points at and C) concave upward on ; concave downward on ; inflection points at and D) concave up on ; no points of inflection E) none of the above and Find the points of inflection and discuss the concavity of the function on the interval . A) concave down on ; no points of inflection B) concave downward on ; concave upward on ; inflection points at and C) concave upward on ; concave downward on ; inflection points at and D) concave up on ; no points of inflection E) none of the above
C) concave upward on Find the points of inflection and discuss the concavity of the function on the interval . A) concave down on ; no points of inflection B) concave downward on ; concave upward on ; inflection points at and C) concave upward on ; concave downward on ; inflection points at and D) concave up on ; no points of inflection E) none of the above ; concave downward on Find the points of inflection and discuss the concavity of the function on the interval . A) concave down on ; no points of inflection B) concave downward on ; concave upward on ; inflection points at and C) concave upward on ; concave downward on ; inflection points at and D) concave up on ; no points of inflection E) none of the above ; inflection points at Find the points of inflection and discuss the concavity of the function on the interval . A) concave down on ; no points of inflection B) concave downward on ; concave upward on ; inflection points at and C) concave upward on ; concave downward on ; inflection points at and D) concave up on ; no points of inflection E) none of the above and Find the points of inflection and discuss the concavity of the function on the interval . A) concave down on ; no points of inflection B) concave downward on ; concave upward on ; inflection points at and C) concave upward on ; concave downward on ; inflection points at and D) concave up on ; no points of inflection E) none of the above
D) concave up on Find the points of inflection and discuss the concavity of the function on the interval . A) concave down on ; no points of inflection B) concave downward on ; concave upward on ; inflection points at and C) concave upward on ; concave downward on ; inflection points at and D) concave up on ; no points of inflection E) none of the above ; no points of inflection
E) none of the above

F) B) and D)
G) A) and B)

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Find all points of inflection of the graph of the function Find all points of inflection of the graph of the function on the interval . Round your answer to three decimal places wherever applicable. A) B) C) D) E) on the interval Find all points of inflection of the graph of the function on the interval . Round your answer to three decimal places wherever applicable. A) B) C) D) E) . Round your answer to three decimal places wherever applicable.


A) Find all points of inflection of the graph of the function on the interval . Round your answer to three decimal places wherever applicable. A) B) C) D) E)
B) Find all points of inflection of the graph of the function on the interval . Round your answer to three decimal places wherever applicable. A) B) C) D) E)
C) Find all points of inflection of the graph of the function on the interval . Round your answer to three decimal places wherever applicable. A) B) C) D) E)
D) Find all points of inflection of the graph of the function on the interval . Round your answer to three decimal places wherever applicable. A) B) C) D) E)
E) Find all points of inflection of the graph of the function on the interval . Round your answer to three decimal places wherever applicable. A) B) C) D) E)

F) A) and B)
G) A) and C)

Correct Answer

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Find all relative extrema of the function Find all relative extrema of the function . Use the Second Derivative Test where applicable. A) relative minimum: B) relative minimum: C) relative maximum: D) relative minimum: E) relative maximum: . Use the Second Derivative Test where applicable.


A) relative minimum: Find all relative extrema of the function . Use the Second Derivative Test where applicable. A) relative minimum: B) relative minimum: C) relative maximum: D) relative minimum: E) relative maximum:
B) relative minimum: Find all relative extrema of the function . Use the Second Derivative Test where applicable. A) relative minimum: B) relative minimum: C) relative maximum: D) relative minimum: E) relative maximum:
C) relative maximum: Find all relative extrema of the function . Use the Second Derivative Test where applicable. A) relative minimum: B) relative minimum: C) relative maximum: D) relative minimum: E) relative maximum:
D) relative minimum: Find all relative extrema of the function . Use the Second Derivative Test where applicable. A) relative minimum: B) relative minimum: C) relative maximum: D) relative minimum: E) relative maximum:
E) relative maximum: Find all relative extrema of the function . Use the Second Derivative Test where applicable. A) relative minimum: B) relative minimum: C) relative maximum: D) relative minimum: E) relative maximum:

F) C) and D)
G) None of the above

Correct Answer

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