Answered: Unless otherwise specified, the domain…

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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(b) Write P′(4.5) as the limit of a difference quotient. Use the data in the table to approximate P′(4.5). Show the computations that lead to your

d) The total number of gallons of water used by the passengers on the ship is modeled by the function G defined by G(t)=120tt√ for 0≤t≤8, where t is the number of hours since boarding began. Find G′(4), the rate at which passengers use water, in gallons per hour, at time t=4hours.

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Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for
which f (x) is a real number.
t (hours)
3
8
P (t) (passengers)
35
204
600
728
The number of passengers who have boarded a ship is modeled by the differentiable function P, where t
is the number of hours since boarding began. Values of P (t) for selected values of t are given in the
table above.

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