Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![A person walking along a straight path has her velocity in miles per hour at time t given by the function v(t) = 0.25t3 – 1.5t2 + 3t + 0.25, for times
in the interval 0 <t< 2. The graph of this function is also given in each of the three diagrams below.
mph
3+
mph
mph
3-
y=v(t)
y=v(t)
y=v(t)
2-
2-
A4
A3
A2
1.
1-
B4
B3
B2
hrs
B1
hrs
hrs
A1
1
Note that in each diagram, we use four rectangles to estimate the area under y =
rectangles' respective heights are decided varies among the three individual graphs.
v(t) on the interval [0, 2], but the method by which the four
Think about how the heights of the rectangles in the left-most diagram are being chosen. Determine the value of S = A1 + A2 + A3 + A, by
evaluating the function y = v(t) at appropriately-chosen values and observing the width of each rectangle. Note, for example, that"
A3=D v(1). 금%3D2. 글
= 1.
S =
Use the rectangles in the middle diagram to find the value of T = B1 + B2 +B3 + B4.
T =
Use the rectangles in the right-most diagram to find the value of U = C1 + C2+ C3 + C,.
U =](https://content.bartleby.com/qna-images/question/464fe16a-00d5-4182-8379-61bd4b8bbe02/3bda3ce7-3a2d-4ffd-9227-d7f62931f054/pz00fjl_processed.jpeg)
Transcribed Image Text:A person walking along a straight path has her velocity in miles per hour at time t given by the function v(t) = 0.25t3 – 1.5t2 + 3t + 0.25, for times
in the interval 0 <t< 2. The graph of this function is also given in each of the three diagrams below.
mph
3+
mph
mph
3-
y=v(t)
y=v(t)
y=v(t)
2-
2-
A4
A3
A2
1.
1-
B4
B3
B2
hrs
B1
hrs
hrs
A1
1
Note that in each diagram, we use four rectangles to estimate the area under y =
rectangles' respective heights are decided varies among the three individual graphs.
v(t) on the interval [0, 2], but the method by which the four
Think about how the heights of the rectangles in the left-most diagram are being chosen. Determine the value of S = A1 + A2 + A3 + A, by
evaluating the function y = v(t) at appropriately-chosen values and observing the width of each rectangle. Note, for example, that"
A3=D v(1). 금%3D2. 글
= 1.
S =
Use the rectangles in the middle diagram to find the value of T = B1 + B2 +B3 + B4.
T =
Use the rectangles in the right-most diagram to find the value of U = C1 + C2+ C3 + C,.
U =
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