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Question 17 which it grows is given by the the equation The mass of a kitten when it is born is 0.2 kilograms. After that, the rate at dM 20 dt T(1+ 4t2)' where t is time in years. (a) Show that the mass of the kitten is modelled by the equation 10 tan- (2t) M = 0.2 + (b) Hence, find how much the kitten will weight eventually as it grows. (c) What percentage of the limiting weight does the kitten grow within it's first year, correct to the nearest percent?

Question 17 which it grows is given by the the equation The mass of a kitten when it is born is 0.2 kilograms. After that, the rate at dM 20 dt T(1+ 4t2)' where t is time in years. (a) Show that the mass of the kitten is modelled by the equation 10 tan- (2t) M = 0.2 + (b) Hence, find how much the kitten will weight eventually as it grows. (c) What percentage of the limiting weight does the kitten grow within it's first year, correct to the nearest percent?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 17 which it grows is given by the the equation The mass of a kitten when it is born is 0.2 kilograms. After that, the rate at dM 20 dt (1+ 4t2)' where t is time in years. (a) Show that the mass of the kitten is modelled by the equation 10 tan- (2t) -1 0.2 + (b) Hence, find how much the kitten will weight eventually as it grows. (c) What percentage of the limiting weight does the kitten grow within it's first year, correct to the nearest percent?
Transcribed Image Text:Question 17 which it grows is given by the the equation The mass of a kitten when it is born is 0.2 kilograms. After that, the rate at dM 20 dt (1+ 4t2)' where t is time in years. (a) Show that the mass of the kitten is modelled by the equation 10 tan- (2t) -1 0.2 + (b) Hence, find how much the kitten will weight eventually as it grows. (c) What percentage of the limiting weight does the kitten grow within it's first year, correct to the nearest percent?
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