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you have the option of choosing between two questions. Select only one question. Rope Problem: Imagine that there is a rope around the equator of the...
you have the option of choosing between two questions. Select only one question.Rope Problem: Imagine that there is a rope around the equator of the earth. Add a 20 meter segment of rope to it. The new rope is held in a circular shape centered about the earth. Then the following can walk beneath the rope without touching it:
- an amoeba
- an ant
- I (the student)
- all of the above
Continuity: You know the following statement is true: If f(x) is a polynomial, then f(x) is continuous. Which of the following is also true?
- If f(x) is not continuous, then it is not a polynomial.
- If f(x) is continuous, then it is a polynomial.
- If f(x) is not a polynomial, then it is not continuous.
Explain your rationale for your choice.
Limits are useful for discussing instances where things get very close but never actually touch. Give a real-life example where limits may be useful. Include a sentence that clearly states, "The limit as ________ approaches ______ is _________" with answers from your context.