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2. (6 pts) Based on data about the growth of a variety of ornamental cherry trees, the following logarithmic model about these trees was determined:

2. (6 pts) Based on data about the growth of a variety of ornamental cherry trees, the following logarithmic model about these trees was determined:

h(t) = 6.108 ln(t) + 6.099,wheret = age of tree in years and h (t) = height of tree, in feet.

(Note that "ln" refers to the natural log function) (explanation optional)

Using the model,

(a) At age 3 years, how tall is this type of ornamental cherry tree, to the nearest tenth of a foot?

(b) At age 12 years, how tall is this type of ornamental cherry tree, to the nearest tenth of a foot?

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