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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F464fe16a-00d5-4182-8379-61bd4b8bbe02%2F3bda3ce7-3a2d-4ffd-9227-d7f62931f054%2Fpz00fjl_processed.jpeg&w=3840&q=75)
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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