At the start of the workday, 35,000 cubic feet of dirt was piled up at a construction site. Dirt will be added to the pile for the next 8 hours, satisfying the increasing differential equation function P represents the total amount of dirt in the pile. P is measured in cubic feet, and t is measured in hours from the start of the workday. Part A: Estimate the amount of dirt in the pile after 3 hours, using the tangent line to the graph of P at t=0.0 Part B: Find and use d+2 to determine if what you found in Part A was an underestimate or an overestimate at t = 3. Part C: Find the general solution to the differential equation (P-7,000). dt P (P-7,000), where the dt
At the start of the workday, 35,000 cubic feet of dirt was piled up at a construction site. Dirt will be added to the pile for the next 8 hours, satisfying the increasing differential equation function P represents the total amount of dirt in the pile. P is measured in cubic feet, and t is measured in hours from the start of the workday. Part A: Estimate the amount of dirt in the pile after 3 hours, using the tangent line to the graph of P at t=0.0 Part B: Find and use d+2 to determine if what you found in Part A was an underestimate or an overestimate at t = 3. Part C: Find the general solution to the differential equation (P-7,000). dt P (P-7,000), where the dt
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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Transcribed Image Text:At the start of the workday, 35,000 cubic feet of dirt was piled up at a construction site. Dirt will be added to the pile for the next 8 hours, satisfying the increasing differential equation
function P represents the total amount of dirt in the pile. P is measured in cubic feet, and t is measured in hours from the start of the workday.
Part A: Estimate the amount of dirt in the pile after 3 hours, using the tangent line to the graph of P at t=0.0
Part B: Find and use
d+2
to determine if what you found in Part A was an underestimate or an overestimate at t = 3.
Part C: Find the general solution to the differential equation
(P-7,000).
dt
P
(P-7,000), where the
dt
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