(Besides the golden ratio) I\'d like to do something with the human body or spac

Question

(Besides the golden ratio) I'd like to do something with the human body or space. I need to come up with an idea including 2-3 practice problems or 1 big problem that will fit a poster. Rubric attached This poster competition is designed to offer an avenue for mathematics students to express their creativity and to discover the usefulness and pervasiveness of mathematics. The theme of this year's poster contest is Mathematics in Nature. Rules Posters are to measure 16 to 30 inches wide and 20 to 30 inches high. Any weight of paper is permitted but poster board is recommended Any layers of paper or props on the poster must be securely attached. Posters must be original ideas by the entrants. Front of poster should not contain any marks, names, or information that would identify the entrant(s)'s school or district. The completed contest entry form should be attached securely to the back of the poster Entry Each school district diocesan group charter group may select (based on their own criteria) exactly one entry in each of four grade-level categories: K-2, 3-5, 6-8, and 9-12. Students may work individually or in pairs. Judging (Distrnct hnners will be sent Skok Col At the state level, a first, second and third place winning entry will be chosen in ebch of the four grade-level categories. The judges' decisions are final. Entries will be judged on the basis of Originality Mathematical content (This includes mathematical accuracy.) Clarity of message in addressing the theme, Mathematics in Nature IANus Assg Creativity shown in the overall display

Explanation / Answer

There are many examples of calculus in nature

1. The acceleration of a falling object is the acceleration of gravity minus the acceleration due to air resistance, which for some objects is proportional to the square of the velocity.

dv/dt= g- kv2

2.Radioactive substances decompose at a rate proportional to the amount present.

dy/dt= -ky

3.The rate of increase of the population will be proportional to the population itself.

dP/dt= kP

4. Newtons law of cooling :the temperature of a hot or cold object will change at a rate proportional to the difference between the object's temperature and the ambient temperature.

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