1. Solve for r in 3+x > 2. 2 - x |

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 61E
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3+ x
1. Solve for x in
> 2.
2 - x
2. Resolve
3x2 + 2
x4 + 2x3 + 3x² + 4x + 2
into partial fractions.
3. The population P (in thousands) of a colony of rabbits at time (t) years is given by
P(t) = 3+ ae-bt
t >0
where a and b are positive constants. If it is given that the initial population is 5, 000 rabbits and one
year later this population has reduced by 1, 000, find the following;
(a) The values of a and b. (Do not approximate your answer).
(b) The time (to 2 decimal places) when the population becomes three-quarters of the initial
population.
(c) The time when there is no change in the rabbit population as time changes. Explain your answer.
Transcribed Image Text:3+ x 1. Solve for x in > 2. 2 - x 2. Resolve 3x2 + 2 x4 + 2x3 + 3x² + 4x + 2 into partial fractions. 3. The population P (in thousands) of a colony of rabbits at time (t) years is given by P(t) = 3+ ae-bt t >0 where a and b are positive constants. If it is given that the initial population is 5, 000 rabbits and one year later this population has reduced by 1, 000, find the following; (a) The values of a and b. (Do not approximate your answer). (b) The time (to 2 decimal places) when the population becomes three-quarters of the initial population. (c) The time when there is no change in the rabbit population as time changes. Explain your answer.
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