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Question

2)

{17/2 - 3/2cos(pi t/6) for 0<=t<=6   

{10 - 1/5(t-6)^2   for 6<t<=10

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

a) Find W'(8). Using correct units explain the meaning of W '(8) in the context of the of 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

c) Find limit as t approaches 2 for

lim t -> 2 ( W(t) - t^2 + 3/4) / t - 2

Top Answer

First try to sketch the function to get a picture of it. I have attached the... View the full answer

a).jpg

17
w (+ ) =
10 -
( t - 6]
6 &lt; &lt; &lt; 1 0
5
10
6
13. 071
a )
w' (+ )
- 2 ( 1- 6 )
t = 8
5
=)
w / 8 )
= - 4/5
ft / her )
Since the derivative negative it implies
that at t=Shis the rate of...

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