Question

The wolf population of a certain area has been growing at an annual rate proportional to the cube root of the population size. The population was estimated to be 1000 when first studied and then 1700 ten years later. a) Write and solve the differential equation that gives the population P of the wolves at time t. For the constants in your expression, either give exact values or round to three decimal places. P = b) In how many years from the initial study will the population reach 4000? Round your answer to the nearest tenth of a year.

          The wolf population of a certain area has been growing at an annual rate
proportional to the cube root of the population size. The population was estimated
to be 1000 when first studied and then 1700 ten years later.

a) Write and solve the differential equation that gives the population P of the
wolves at time t. For the constants in your expression, either give exact values
or round to three decimal places.

P =

b) In how many years from the initial study will the population reach 4000? Round
your answer to the nearest tenth of a year.
        
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The wolf population of a certain area has been growing at an annual rate
proportional to the cube root of the population size. The population was estimated
to be 1000 when first studied and then 1700 ten years later.

a) Write and solve the differential equation that gives the population P of the
wolves at time t. For the constants in your expression, either give exact values
or round to three decimal places.

P =

b) In how many years from the initial study will the population reach 4000? Round
your answer to the nearest tenth of a year.

Added by Lauren P.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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The wolf population of a certain area has been growing at an annual rate proportional to the cube root of the population size. The population was estimated to be 1000 when first studied and then 1700 ten years later. a) Write and solve the differential equation that gives the population P of the wolves at time t. For the constants in your expression, either give exact values or round to three decimal places. P = b) In how many years from the initial study will the population reach 4000? Round your answer to the nearest tenth of a year.
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Transcript

-
00:01 Hello everyone.
00:02 So here the solution of a will be dp by t t t c, p to the power 1 by 3.
00:10 So p 1980 is equal to 1000.
00:14 P t is equal to 0 is equal to 1000...
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