Question: Observations show that the length L in millimeters (mm) from nose to tip of tail of a Siberian tiger can be estimated using the function

Observations show that the length L in millimeters (mm) from nose to tip of tail of a Siberian tiger can be estimated using the function L = 0.25w^2.6, where w is the weight of the tiger in kilograms (kg). Furthermore, when a tiger is less than 6 months old, its weight (kg) can be estimated in terms of its age A in days by the function w = 3 + 0.21A.

a. At what rate is the length of a Siberian tiger increasing with respect to its weight when it weighs 60 kg?

b. How long is a Siberian tiger when it is 100 days old? At what rate is its length increasing with respect to time at this age?

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