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The rate of change in the number of barrels, B, of oil pumped from a field is proportional to 2,300,000 - B(t), where t is measured in years. Write the differential equation to solve for B(t). Do not solve. dB dt dB dt dB dt dB dt = = (2, 300, 000 + B)k k 2,300,000-B = = (2, 300, 000 – B)k = (2,300,000 - t)k

The rate of change in the number of barrels, B, of oil pumped from a field is proportional to 2,300,000 - B(t), where t is measured in years. Write the differential equation to solve for B(t). Do not solve. dB dt dB dt dB dt dB dt = = (2, 300, 000 + B)k k 2,300,000-B = = (2, 300, 000 – B)k = (2,300,000 - t)k

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The rate of change in the number of barrels, B, of oil pumped from a field is proportional to 2,300,000 - B(t), where t is measured in years. Write the differential equation to solve for B(t). Do not solve. O dB dt dB dt dB dt dB dt = = (2, 300, 000 + B)k = k 2,300,000-B = (2, 300, 000 - B)k (2, 300, 000 - t)k
Transcribed Image Text:The rate of change in the number of barrels, B, of oil pumped from a field is proportional to 2,300,000 - B(t), where t is measured in years. Write the differential equation to solve for B(t). Do not solve. O dB dt dB dt dB dt dB dt = = (2, 300, 000 + B)k = k 2,300,000-B = (2, 300, 000 - B)k (2, 300, 000 - t)k
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