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. * - cos () for 0
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. * - cos () for 0
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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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
(a) Find W′(8). Using correct units, explain the meaning of W′(8) in the context of the problem.
(b) The graph of W is concave down for 3≤t≤3.5. Use the line tangent to the graph of W at t=3 to show that W(3.5)≤9. Minute Minute
(c) Find lim t→2
(W(t)−t^3+(1/4)) / (t−2)
Transcribed Image Text: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.
* - cos () for 0<t<6
10 – (t – 6) for 6 <t < 10
17
COS
2
W (t)
The depth of a river at a certain point is modeled by the
function W defined above, where W (t) is measured in feet
and time t is measured in hours.
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