The weight of a laboratory mouse between 3 and 11 weeks of age can be modeled as w(t) = 11.6 + 7.39 ln t grams where the age of the mouse is t + 2 weeks. (a) What is the weight of a 11-week-old mouse? (Round your answer to three decimal places.) 27.162 grams How rapidly is its weight changing? (Round your answer to three decimal places.) 0.821 grams per week (b) What is the average rate of change in the weight of the mouse between ages 5 and 9 weeks? grams per week
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The weight of a laboratory mouse between 3 and 11 weeks of age can be modeled as w(t) = 11.6 + 7.33 ln t grams, where the age of the mouse is t + 2 weeks. (a) What is the weight of a 3-week-old mouse? (Round your answer to three decimal places.) How rapidly is its weight changing? (Round your answer to three decimal places.) (b) What is the average rate of change in the weight of the mouse between ages 7 and 11 weeks? (Round your answer to three decimal places.)
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The weight of a laboratory mouse between 3 and 11 weeks of age can be modeled as w(t) = 11.9 + 7.34 ln t grams where the age of the mouse is t + 2 weeks. a) What is the weight of a 9-week-old mouse? (Round your answer to three decimal places.) b)How rapidly is its weight changing? (Round your answer to three decimal places.) (c) What is the average rate of change in the weight of the mouse between ages 8 and 12 weeks? (Round your answer to three decimal places.)
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Mouse Weight The rate of change of the weight of a laboratory mouse $t$ weeks (for $1 \leq t \leq 15$ ) after the beginning of an experiment can be modeled as $w(t)=\frac{13.785}{t}$ grams per week $$ \text { a. Evaluate } \int_{3}^{9} w(t) d t $$ b. Interpret the answer from part $a$.
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