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Using limits, the polynomial that has an even degree and a negative leading coefficient is:
Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0.
<h3>What is a limit?</h3>A limit is given by the value of function f(x) as x tends to a value.
In this problem, to find the polynomial, we have to find the limits as x goes to infinity, hence:
Since n is even, we have that:
Since it goes down to the left and down to the right, hence the function is:
Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0.
More can be learned about limits at brainly.com/question/26270080
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<span>Diameter of a grain of sand = 2 x 10^{-4}
</span><span>Diameter of the average cell in the human body = 1 x 10^{-5}
</span>
Difference of diameter of grain of sand and cell of human body
= 2 x 10^{-4} - 1 x 10^{-5}
=
=
=
=
=
= 19 × 10^{-5}
Hence, the diameter of a grain of sand is 19 × 10^{-5} longer than the diameter of the average cell of the human body.
</span><span>Diameter of the average cell in the human body = 1 x 10^{-5}
</span>
Difference of diameter of grain of sand and cell of human body
= 2 x 10^{-4} - 1 x 10^{-5}
=
=
=
=
=
= 19 × 10^{-5}
Hence, the diameter of a grain of sand is 19 × 10^{-5} longer than the diameter of the average cell of the human body.