Curve Fitting 3. The Hubble space Telescope was deployed on April 24, 1990, by the space shuttle Discovery. Four readings were obtained about the velocity of the shuttle before the solid rocket boosters were jettisoned at i=126 seconds. ! (s) v (s) 3 70.05 16 359.98 100 2760.1 a. Find a cubic polynomial that fits the above data by setting up and solving a system of linear equations. b. Use the cubie polynomial to approximate the velocity of the shuttle at t=126s. c. What would happen if you attempt to fit a polynomial of higher degree into the same data?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Elimination Method For Solving x
My Questions | bartleby
ESC myFSC
Bb LEARNING MODULES – MTH24 X
Bb Math 245
Bb Math 245
+
farmingdale.open.suny.edu/bbcswebdav/pid-2193589-dt-content-rid-22841230_1/courses/202109-MTH245-001-90761/MTH%20245%20Solving%20Systems.pdf
Tp 27
Apps
Reading List
Math 245
7 / 10
100%
Applicatis
Curve Fitting
3. The Hubble space Telescope was deployed on April 24, 1990, by the space shuttle
Discovery. Four readings were obtained about the velocity of the shuttle before the
solid rocket boosters were jettisoned at t =126 seconds.
t (s)
v (ft/s)
3
70.05
16
359.98
100
2760.1
Tea d 2,
a. Find a cubic polynomial that fits the above data by setting up and solving a
system of linear equations.
y ela.
- i a d
b. Use the cubic polynomial to approximate the velocity of the shuttle at t =126 s.
c. What would happen if you attempt to fit a polynomial of higher degree into the
same data?
-
7
Setting up the equations:
V(t) = at + bt?+ ct + d
at (0, 0)
0 = a (0)³ + b(0)² + c(0)+ d and
d = 0
at (3, 70.05)
70.05 = a (3) + b(3)² + c(3)+ d , therefore,
8
27a + 9b+3c = 70.05
Screen Shot
2021-06...4.23 PM
SEP
PAGES
W
101
0000
II
Transcribed Image Text:Chrome File Edit View History Bookmarks Profiles Tab Window Help )) Fri Sep 3 6:10 PM Elimination Method For Solving x My Questions | bartleby ESC myFSC Bb LEARNING MODULES – MTH24 X Bb Math 245 Bb Math 245 + farmingdale.open.suny.edu/bbcswebdav/pid-2193589-dt-content-rid-22841230_1/courses/202109-MTH245-001-90761/MTH%20245%20Solving%20Systems.pdf Tp 27 Apps Reading List Math 245 7 / 10 100% Applicatis Curve Fitting 3. The Hubble space Telescope was deployed on April 24, 1990, by the space shuttle Discovery. Four readings were obtained about the velocity of the shuttle before the solid rocket boosters were jettisoned at t =126 seconds. t (s) v (ft/s) 3 70.05 16 359.98 100 2760.1 Tea d 2, a. Find a cubic polynomial that fits the above data by setting up and solving a system of linear equations. y ela. - i a d b. Use the cubic polynomial to approximate the velocity of the shuttle at t =126 s. c. What would happen if you attempt to fit a polynomial of higher degree into the same data? - 7 Setting up the equations: V(t) = at + bt?+ ct + d at (0, 0) 0 = a (0)³ + b(0)² + c(0)+ d and d = 0 at (3, 70.05) 70.05 = a (3) + b(3)² + c(3)+ d , therefore, 8 27a + 9b+3c = 70.05 Screen Shot 2021-06...4.23 PM SEP PAGES W 101 0000 II
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