1. Consider y=f(x)=sin(3x)+x² over [0, 3¤/2]. (By hand but use a calculator) a) Use the three nodes xo=0, x1= 3¤/4, x2= 37/2 to construct a quadratic int rpolation polynomial P2(x) and compare P2(1) and f(1). b) Use the three nodes xo=0, x1= n/2, x2= 1, x3= 3t/2 to construct a cubic in rpolation polynomial P3(x) and compare P3(1) and f(1).
1. Consider y=f(x)=sin(3x)+x² over [0, 3¤/2]. (By hand but use a calculator) a) Use the three nodes xo=0, x1= 3¤/4, x2= 37/2 to construct a quadratic int rpolation polynomial P2(x) and compare P2(1) and f(1). b) Use the three nodes xo=0, x1= n/2, x2= 1, x3= 3t/2 to construct a cubic in rpolation polynomial P3(x) and compare P3(1) and f(1).
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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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
![1. Consider y=f(x)3sin(3x)+x² over [0, 37/2]. (By hand but use a calculator)
a) Use the three nodes xo=0, x1= 3Ħ/4, x2= 31/2 to construct a quadratic int rpolation
polynomial P2(x) and compare P2(1) and f(1).
b) Use the three nodes xo=0, x1= n/2, x2= , X3= 37/2 to construct a cubic in rpolation
polynomial P3(x) and compare P3(1) and f(1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9264f2f-6fe2-4ef1-92a9-5633e71dee54%2F768b8ef8-f37a-45dc-bbf2-94e767e580f3%2Fug4l2r_processed.png&w=3840&q=75)
Transcribed Image Text:1. Consider y=f(x)3sin(3x)+x² over [0, 37/2]. (By hand but use a calculator)
a) Use the three nodes xo=0, x1= 3Ħ/4, x2= 31/2 to construct a quadratic int rpolation
polynomial P2(x) and compare P2(1) and f(1).
b) Use the three nodes xo=0, x1= n/2, x2= , X3= 37/2 to construct a cubic in rpolation
polynomial P3(x) and compare P3(1) and f(1).
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