The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are given in the following table. t (hr) 0 v (mi/hr) 30 0.25 0.5 30 50 0.75 1 1.25 1.5 1.75 2 50 45 60 30 50 75 a. Sketch a smooth curve passing through the data points. b. Find the midpoint Riemann sum approximation to the displacement on [0.2] with n = 2 and n = 4. 704 60- 50- 40- 30 V 20- M. 0.5 1 1.5 2 0 704 60- 50- 40- 30- 20- M 0 0.5 1 1.5 O G 70+ 4607 M 0 05 1 1.5 50- 40- 30- 20-4 b. The midpoint Riemann sum approximation to the displacement on [0.2] with n= 2 ismiles. (Type an integer or a decimal.) Q 704 60- 50- 40- 30- 20- 0 0.5 1.5
The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are given in the following table. t (hr) 0 v (mi/hr) 30 0.25 0.5 30 50 0.75 1 1.25 1.5 1.75 2 50 45 60 30 50 75 a. Sketch a smooth curve passing through the data points. b. Find the midpoint Riemann sum approximation to the displacement on [0.2] with n = 2 and n = 4. 704 60- 50- 40- 30 V 20- M. 0.5 1 1.5 2 0 704 60- 50- 40- 30- 20- M 0 0.5 1 1.5 O G 70+ 4607 M 0 05 1 1.5 50- 40- 30- 20-4 b. The midpoint Riemann sum approximation to the displacement on [0.2] with n= 2 ismiles. (Type an integer or a decimal.) Q 704 60- 50- 40- 30- 20- 0 0.5 1.5
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are given in the following table.
t (hr)
0 0.25 0.5
v (mi/hr) 30 30
0.75 1 1.25 1.5 1.75 2
45 60 30
50
50
50
75
a. Sketch a smooth curve passing through the data points.
b. Find the midpoint Riemann sum approximation to the displacement on [0,2] with n = 2 and n = 4.
70-4
60-
50-
88
30 V
20+
0 0.5 1 1.5 2
Q
704
60-
50-
40-
30-
20-
M
0 0.5 1 1.5 2
104
60
50-
40-
30-
20-
M
W
0 0.5 1 1.5 2
b. The midpoint Riemann sum approximation to the displacement on [0,2] with n = 2 is
(Type an integer or a decimal.)
miles.
OU
10+
60-
50-
40-
30-
20+
0
MA
0.5 1 1.5 2
Q](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a9a4baf-abce-4233-9c9e-719a474a2693%2Ff0f4991b-c28a-4f7d-b289-20c4b370a3d6%2F80wqn4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:e
The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are given in the following table.
t (hr)
0 0.25 0.5
v (mi/hr) 30 30
0.75 1 1.25 1.5 1.75 2
45 60 30
50
50
50
75
a. Sketch a smooth curve passing through the data points.
b. Find the midpoint Riemann sum approximation to the displacement on [0,2] with n = 2 and n = 4.
70-4
60-
50-
88
30 V
20+
0 0.5 1 1.5 2
Q
704
60-
50-
40-
30-
20-
M
0 0.5 1 1.5 2
104
60
50-
40-
30-
20-
M
W
0 0.5 1 1.5 2
b. The midpoint Riemann sum approximation to the displacement on [0,2] with n = 2 is
(Type an integer or a decimal.)
miles.
OU
10+
60-
50-
40-
30-
20+
0
MA
0.5 1 1.5 2
Q
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