Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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(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) 

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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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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