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Although a calculator is permitted, ALL WORK must be shown. Please provide detailed answers to the questions listed below. This Question is **CALCULATOR |NACTIVE** Mzab

Although a calculator is permitted, ALL WORK must be shown.

Please provide detailed answers to the questions listed below.

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This Question is **CALCULATOR |NACTIVE** Mzab Gundis live in the central Sahara Desert in Algeria, northern Niger, northwestern Chad, northeastern Mali, and southwestern Libya. The rate at which a Mzab gundi gains weight is proportional to the difference between its adult weight and its current weight. At time t= 0, when the Gundi is first weighed, its weight is 20 grams. If G(t) is the weight of the Gundi, in grams, at time t days after it is first weighed, then = 510(180 G). Let y = G(t) be the solution to the differential equation above) with initial condition 6(0) = 20. (a) Is the Gundi gaining weight faster when it weighs 60 grams or when it weighs 100 grams? Explain your reasoning. (b) Find dZG' in terms of G. Use '22? to explain why the graph of G cannot resemble the following graph. I'lliiiii (c) Use separation of variables to find y = G(t), the particular solution to the differential equation with initial condition 6(0) = 20

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