7.) The depth of water in a zoo aquarium at a certain point is modeled by the function W defined below, where W (t) is measured in feet and time t is measured in hours. w(t)-t²-12 1-2 W(t) = c) Find lim 2 (²3/² + ² cos (77). 1 6+-(t-4)², 0≤t≤4 a) Find W' (7). Using correct units, explain the meaning of W' (7) in the context of the problem. b) Use the line tangent to the graph of W at t = 2 and use it to approximate W (2.5). 4
7.) The depth of water in a zoo aquarium at a certain point is modeled by the function W defined below, where W (t) is measured in feet and time t is measured in hours. w(t)-t²-12 1-2 W(t) = c) Find lim 2 (²3/² + ² cos (77). 1 6+-(t-4)², 0≤t≤4 a) Find W' (7). Using correct units, explain the meaning of W' (7) in the context of the problem. b) Use the line tangent to the graph of W at t = 2 and use it to approximate W (2.5). 4
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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The depth of water in a zoo aquarium at a certain point is modeled by the function W defined below, where W(t) is measured in feet and time t is measured in hours.
a) Find W' (7). Using correct units, explain the meaning of W' (7) in the context of the problem.
b) Use the line tangent to the graph of W at t = 2 and use it to approximate W (2.5).
c) Find lim t-> 2 (W(t)(-t^2)(12/5))/(t-2)
Transcribed Image Text:7.) The depth of water in a zoo aquarium at a certain point is modeled by the function W defined below,
where W (t) is measured in feet and time t is measured in hours.
c) Find lim
t-2
W(t) =
W(t)-t²-12
t-2
(32
2
5 + cos
6+
1
πί
(t - 4)²,
0≤t≤4
a) Find W'(7). Using correct units, explain the meaning of W'(7) in the context of the problem.
b) Use the line tangent to the graph of W at t = 2 and use it to approximate W (2.5).
4 < t ≤9
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