$\"\"$

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The acceleration due to gravity, $\"\"$ $\"\"$ , at a height $\"\"$ meters above sea level is given by

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$\"\"$ .

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(a)

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At sea level $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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The acceleration due to gravity at sea level is $\"\"$ .

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$\"\"$

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(b)

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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The acceleration due to gravity at the top of the Willis Tower is $\"\"$ .

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$\"\"$

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(c)

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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The acceleration due to gravity on the peak of Mount Everest is $\"\"$ .

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$\"\"$

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(d)

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The function $\"\"$

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Degree of the numerator of the function $\"\"$ and degree of the denominator $\"\"$ .

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Since the degree of the numerator is less than degree of the denominator, horizontal asymptote is $\"\"$ .

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$\"\"$ -axis is horizontal asymptote.

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$\"\"$

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(e) Solve $\"\"$ .

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$\"\"$

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$\"\"$ has no solutions since the numerator is a nonzero constant, so it cannot be never to 0, which means no matter how far the object is from the surface of the earth, there is always a nonzero acceleration due to gravity. How ever, if the object is

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very far away from the surface of the earth, even the acceleration due to gravity is non zero, it is negligible, so we assume it is

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zero.

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$\"\"$

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(a) The acceleration due to gravity at sea level is $\"\"$ .

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(b) The acceleration due to gravity at the top of the Willis Tower is $\"\"$ .

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(c) The acceleration due to gravity on the peak of Mount Everest is $\"\"$ .

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(d) $\"\"$ -axis is horizontal asymptote.

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(e) $\"\"$ has no solutions.