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
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F467bf350-9579-48a2-ab28-8724f1c95f99%2F30c2185c-c176-4e49-af2e-dd9599d76595%2Fw5fp4e_processed.png&w=3840&q=75)
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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