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55. African Wild Dog The African wild dog is currently one of
on alomar the most endangered carnivores in the world. After years of
W 291s off To attempts to rescue the dog from extinction, scientists have col-
on S in pabllsy
lected a lot of data on the habits of this nomadic creature. The
collected data show the following mathematical relationship
ohionut noilia
between the weight and the length of the dog:
.01 159q291 dliw L( w) = 2.472w2.571
where w (in kg) is the weight and L(w ) (in mm) is the length
of the mammal. Source: Journal of Mammalogy. Suppose that
ani to
the weight of a particular wild dog can be estimated by
w(t) = 0.265 + 0.21t,
where w(t ) is the weight (in kg) and t is the age, in weeks, of an
African wild dog that is less than one year old. How fast is the
length of a 25-week-old African wild dog changing?

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