Question

Determine the clamped cubic spline that interpolates the data f(-3) = 2 ; f(-1) = -3...

Determine the clamped cubic spline that interpolates the data f(-3) = 2 ; f(-1) = -3 ; f(0) = 1 ; f(3) = 6 ; f(5) = 3 and satisfies s'(-3) = s'(5) = 0

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Using Matlab, we have:

And the resulting plot of data and the clamped cubic spline is:

Hope this was helpful. Please do leave a positive rating if you liked this answer. Thanks and have a good day!

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Set up the linear system for the clamped cubic spline S that interpolates the data f(0)...
Set up the linear system for the clamped cubic spline S that interpolates the data f(0) = 1, f(2) = 9, f(3) = 28 and satisfies S 0 (0) = 0 and S 0 (3) = 27.
Q14:Determine the natural cubic spline S that interpolates the data f (0) = 0, f (1)...
Q14:Determine the natural cubic spline S that interpolates the data f (0) = 0, f (1) = 1, and f (2) = 2.
Write down the equations determining the coefficients of the not-a-knot cubic spline interpolating to the data...
Write down the equations determining the coefficients of the not-a-knot cubic spline interpolating to the data (0, 1), (1, 0), (2, 3) and (3, 2). Just four equations are sufficient. Why?
Develop, debug and test a program in Matlab to implement cubic spline interpolation. Calculate f(2.25) utilizing...
Develop, debug and test a program in Matlab to implement cubic spline interpolation. Calculate f(2.25) utilizing the data x = 1.6, 2, 2.5, 3.2, 4, 4.5 f(x) = 2, 8, 14, 15, 8, 2 USE MATLAB CODE
Is the function ?(?) = { −5 + 8? − 6?2 + 2?3 ?or 1 ≤...
Is the function ?(?) = { −5 + 8? − 6?2 + 2?3 ?or 1 ≤ ? ≤ 2 27 − 40? + 18?2 − 2?3 ?or 2 < ? ≤ 3 a cubic spline? Is it natural?
Evaluate the following: 1) ∫ 4? ?? and determine C if the antiderivative F(x) satisfies F(2)...
Evaluate the following: 1) ∫ 4? ?? and determine C if the antiderivative F(x) satisfies F(2) = 12. 2) ∫4???= 3) ∫( ?5 + 7 ?2 + 3 ) ?? = 4) ∫ ?4( ?5 + 3 )6 ?? = 5)∫4?3 ??=?4+ 3 6) ∫ ?2 sec2(?3) ?tan(?3)?? 7 ) ∫ 53 ? 13 ? ? = 8) ∫ ln8(?) ?? =? 9) ∫ 3 ln(?3) ?? =? 10) ∫ 4?3 sin3(?4) cos(?4) ?? = 11) ∫6?55?6??= 12) ∫???2(3?)??= 13)...
Use a system of equations to find the cubic function f(x) = ax3 + bx2 +...
Use a system of equations to find the cubic function f(x) = ax3 + bx2 + cx + d that satisfies the equations. Solve the system using matrices. f(−1) = 10 f(1) = 8 f(2) = 34 f(3) = 94
For 1 and 2, give a function f that satisfies the given conditions. 1. f '...
For 1 and 2, give a function f that satisfies the given conditions. 1. f ' (x) = x^5 + 1 + 2 sec x tan x with f(0) = 4 2. f '' (x) = 12x + sin x with f(0) = 3 and f ' (0) = 7
java data structure question - Consider the following recurrence function" f(1)=1; f(2)=2; f(3)=3; f(4)=2; f(5)=2 f(n)...
java data structure question - Consider the following recurrence function" f(1)=1; f(2)=2; f(3)=3; f(4)=2; f(5)=2 f(n) = 2 * f(n -1) + f(n – 5) for n >= 6 Write a program to demonstrate this recurrence relation (recursive method) and demonstrate it for the values n = 6, 7, 10, and 12; Create a second method that solves the same problem using an iterative solution. Modify your test program to show that both the recursive method and the iterative methods...
1.Find ff if f′′(x)=2+cos(x),f(0)=−7,f(π/2)=7.f″(x)=2+cos⁡(x),f(0)=−7,f(π/2)=7. f(x)= 2.Find f if f′(x)=2cos(x)+sec2(x),−π/2<x<π/2,f′(x)=2cos⁡(x)+sec2⁡(x),−π/2<x<π/2, and f(π/3)=2.f(π/3)=2. f(x)= 3. Find ff if...
1.Find ff if f′′(x)=2+cos(x),f(0)=−7,f(π/2)=7.f″(x)=2+cos⁡(x),f(0)=−7,f(π/2)=7. f(x)= 2.Find f if f′(x)=2cos(x)+sec2(x),−π/2<x<π/2,f′(x)=2cos⁡(x)+sec2⁡(x),−π/2<x<π/2, and f(π/3)=2.f(π/3)=2. f(x)= 3. Find ff if f′′(t)=2et+3sin(t),f(0)=−8,f(π)=−9. f(t)= 4. Find the most general antiderivative of f(x)=6ex+9sec2(x),f(x)=6ex+9sec2⁡(x), where −π2<x<π2. f(x)= 5. Find the antiderivative FF of f(x)=4−3(1+x2)−1f(x)=4−3(1+x2)−1 that satisfies F(1)=8. f(x)= 6. Find ff if f′(x)=4/sqrt(1−x2)  and f(1/2)=−9.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT