$\"\"$

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The graph shows that force $\"\"$ required to move the object $\"\"$ feet along the $\"\"$ axis.

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(a)

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Observe the graph,

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The force required to move the object $\"\"$ feet along the $\"\"$ axis is $\"\"$ pounds is 6 pounds.

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Work $\"\"$ done by the force as the object is moved from $\"\"$ to $\"\"$ is $\"\"$ .

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Substitutue corresponding values in the work done formula.

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$\"\"$

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The work done to move the object $\"\"$ feet along the $\"\"$ axis is 54 ft-lb.

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$\"\"$

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(b)

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Work $\"\"$ done by the force as the object is moved from $\"\"$ to $\"\"$ is $\"\"$ .

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Observe the graph,

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The force is a piecewise function.

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$\"\"$ .

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Find the value of the functio in $\"\"$ .

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Consider the two points $\"\"$ and $\"\"$ in $\"\"$ .

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Point -slope form of line equation: $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the formula.

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$\"\"$

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Thus, $\"\"$ .

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$\"\"$

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$\"\"$

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The work done to move the object $\"\"$ feet along the $\"\"$ axis is 160 ft-lb.

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$\"\"$

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(c)

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$\"\"$

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Observe the graph,

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The force required to move the object $\"\"$ feet along the $\"\"$ axis is $\"\"$ pounds.

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$\"\"$

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The work done to move the object $\"\"$ feet along the $\"\"$ axis is 9 ft-lb.

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$\"\"$

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(d)

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Observe the graph,

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The force required to move the object $\"\"$ feet along the $\"\"$ axis is $\"\"$ pounds.

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$\"\"$ .

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Substitutue corresponding values in the work done formula.

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$\"\"$

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$\"\"$

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$\"\"$ ft-lb. The work done to move the object $\"\"$ feet along the $\"\"$ axis is 18 ft-lb.

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$\"\"$

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(a).

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The work done to move the object $\"\"$ feet along the $\"\"$ axis is 54 ft-lb.

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(b)

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The work done to move the object $\"\"$ feet along the $\"\"$ axis is 160 ft-lb.

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(c)

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The work done to move the object $\"\"$ feet along the $\"\"$ axis is 9 ft-lb.

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(d)

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The work done to move the object $\"\"$ feet along the $\"\"$ axis is 18 ft-lb.