Data collected by a team of scientists studying dunes show that a particular dune moves about 40 m per year. How far does this dune move in 1 day?

Answer 1

0.11 m

This is a good place to introduce the concept of “Dimensional Analysis”. Very simply, this mean arranging your problem equations in terms of the UNITS or Dimensions given and those desired in the final answer.

We are given a ratio of two units – meters and year. We want an answer in terms of meters and day. Therefore, the “conversion” we need is from Years to Days. Arranging our equation to make sure that we end up with a final dimension of m per day will ensure that if we do the math correctly, the answer will also be correct.

#(m/(yr)) * (yr)/(day) = (m/(day))# Now we can see that the “conversion factor” we need is (yr/day), or #(1/365)# Putting all of the numbers into the equation we arrive at:
#40 (m/(yr)) * (1/365)(yr)/(day) = 0.11 (m/(day))#
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Answer 2

The dune moves about 0.11 meters per day.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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