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# Pilgrims Bean Crop Problem: When the Pilgrims arrived in America, they brought along ISBN: 9781559533911 468

## Solution for problem 8 Chapter 15-3

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 8

Pilgrims Bean Crop Problem: When the Pilgrims arrived in America, they brought along seeds from which to grow crops. If they had planted beans, the number of bean plants would have increased rapidly, leveled off, and then decreased with the approach of winter. The next spring, a new crop would have come up. Suppose that the number of bean plants, B(x), as a function of x weeks since theplanting is given by this table: x3 594 1135 1606 2037 2408 272a. Find the particular equation of the best fitting cubic function. Plot the equation and the data on the same screen. Sketch the result. b. According to the cubic model, what is the maximum number of bean plants they had in the first year? After how many weeks did the number of bean plants reach this maximum? Did any plants survive through the next winter? If so, what is the smallest number of plants, and when did the number reach this minimum? If not, when did the last plant die, and when did the first plant emerge the next spring? c. Show that if B(8) had been 273 instead of 272, the conclusions of part b would be much different. (This phenomenon is called sensitive dependence on initial conditions.) d. What year did the first Pilgrims arrive in America? What did they name the place where they landed?

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##### ISBN: 9781559533911

The answer to “Pilgrims Bean Crop Problem: When the Pilgrims arrived in America, they brought along seeds from which to grow crops. If they had planted beans, the number of bean plants would have increased rapidly, leveled off, and then decreased with the approach of winter. The next spring, a new crop would have come up. Suppose that the number of bean plants, B(x), as a function of x weeks since theplanting is given by this table: x3 594 1135 1606 2037 2408 272a. Find the particular equation of the best fitting cubic function. Plot the equation and the data on the same screen. Sketch the result. b. According to the cubic model, what is the maximum number of bean plants they had in the first year? After how many weeks did the number of bean plants reach this maximum? Did any plants survive through the next winter? If so, what is the smallest number of plants, and when did the number reach this minimum? If not, when did the last plant die, and when did the first plant emerge the next spring? c. Show that if B(8) had been 273 instead of 272, the conclusions of part b would be much different. (This phenomenon is called sensitive dependence on initial conditions.) d. What year did the first Pilgrims arrive in America? What did they name the place where they landed?” is broken down into a number of easy to follow steps, and 228 words. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. This full solution covers the following key subjects: . This expansive textbook survival guide covers 106 chapters, and 2321 solutions. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. The full step-by-step solution to problem: 8 from chapter: 15-3 was answered by , our top Calculus solution expert on 03/16/18, 04:16PM. Since the solution to 8 from 15-3 chapter was answered, more than 234 students have viewed the full step-by-step answer.

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