3. The distances, measured in meters, of a bicycle rider from his point of origin is measured at intervals of 0.25 seconds, as shown below t S 0 0.25 4.5 0.5 10.2 Time Velocity Acceleration 0.75 17.2 0.25 s 1 26.2 Use CDD to approximate the velocity and acceleration of the biker at t=0.25 s, 0.75s and 1.25 s. Give your answers in 4 decimal places. 1.25 $3.1 0.75 s 1.25 s 1.5 $9.1
3. The distances, measured in meters, of a bicycle rider from his point of origin is measured at intervals of 0.25 seconds, as shown below t S 0 0.25 4.5 0.5 10.2 Time Velocity Acceleration 0.75 17.2 0.25 s 1 26.2 Use CDD to approximate the velocity and acceleration of the biker at t=0.25 s, 0.75s and 1.25 s. Give your answers in 4 decimal places. 1.25 $3.1 0.75 s 1.25 s 1.5 $9.1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
answer number 3 pls. thank you
![1. Approximate the first derivative of f(x) = 5e23x at x = 1.25 using a step size of Ax = 0.2 using
the following methods:
a. Forward Divided Difference (FDD)
b. Backward Divided Difference (BDD)
C. Central Divided Difference (CDD)
d. Use analytic method to find f'(1.25) and compare the errors. Which method had the best
approximation?
Approximation Method First Derivative Value | Error(%)
FDD
t
S
BDD
2. Use the same conditions in #1 to find f"(1.25).
CDD
Approximation Method Second Derivative Value Error(%)
0
0
FDD
BDD
3. The distance s, measured in meters, of a bicycle rider from his point of origin is measured at
intervals of 0.25 seconds, as shown below
CDD
0.25
4.S
0.5
10.2
Time
Velocity
Acceleration
0.75
17.2
0.25 s
1
26.2
Use CDD to approximate the velocity and acceleration of the biker at t=0.25 s, 0.75s and 1.25 s. Give
your answers in 4 decimal places.
1.25
SS.1
0.75 s 1.25 s
1.5
$9.1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15027409-818c-4128-ab6a-eb266f5da49b%2F73a49afa-6156-4ff2-8e4f-8bbb38e01d88%2Ffay3nza_processed.png&w=3840&q=75)
Transcribed Image Text:1. Approximate the first derivative of f(x) = 5e23x at x = 1.25 using a step size of Ax = 0.2 using
the following methods:
a. Forward Divided Difference (FDD)
b. Backward Divided Difference (BDD)
C. Central Divided Difference (CDD)
d. Use analytic method to find f'(1.25) and compare the errors. Which method had the best
approximation?
Approximation Method First Derivative Value | Error(%)
FDD
t
S
BDD
2. Use the same conditions in #1 to find f"(1.25).
CDD
Approximation Method Second Derivative Value Error(%)
0
0
FDD
BDD
3. The distance s, measured in meters, of a bicycle rider from his point of origin is measured at
intervals of 0.25 seconds, as shown below
CDD
0.25
4.S
0.5
10.2
Time
Velocity
Acceleration
0.75
17.2
0.25 s
1
26.2
Use CDD to approximate the velocity and acceleration of the biker at t=0.25 s, 0.75s and 1.25 s. Give
your answers in 4 decimal places.
1.25
SS.1
0.75 s 1.25 s
1.5
$9.1
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