Question: Find the Lagrange interpolation polynomial for Xo = 1 f (xo) = 2 f(x1) = 5 X1 = 2 Answer: f(x) = [a] x

Find the Lagrange interpolation polynomial for Xo = 1 f (xo) = 2 f(x1) = 5 X1 = 2 Answer: f(x) = [a] x + [b] Find the Lagrange interpolation polynomial for Xo = 1 f(xo)

Find the Lagrange interpolation polynomial for Xo = 1 f (xo) = 2 f(x1) = 5 X1 = 2 Answer: f(x) = [a] x + [b] Find the Lagrange interpolation polynomial for Xo = 1 f(xo) = 8 f (x1) = 6 f(x2) = 6 X1 = 2 X2 = 3 %3D f(x) = [a] x2 + [b] x + [c]

Step by Step Solution

★★★★★

3.42 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find the Lagrange interpolation polynomial for given points use the following formula for a polyn... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Evaluate the composite Simpson's approximation with N=2 intervals for the integral [*In(x) sin (x)dx Type in the correct answer, with 2 d.p. (ex: 3.78)

Construct a counterexample to show that lim sup(an + bn) is not n-00 necessarily the same as lim sup(an) + lim sup(bn) n-00 n-00

Let S = (1,6] . Find sup{S}; Prove that it is supremum ; If max{S} exists, find it; if not, demonstrate why not

Answer question 1 a)-g) Question 1 (10 points) Find the following derivatives and limits a) (1 point) lim - In (x+1) b) (1 point) lim In (x+1) c) (1 point) lim x-o In(x+1) -x d) (1 point) Find - x...

1. (Section 2.2, Problem 46) 2. (Section 2.2, Problem 64) 3. (Section 2.3, Problem 4) 4. (Section 2.3, Problem 10) 5. (Section 2.3, Problem 12) 6. (Section 2.3, Problem 18) 7. (Section 2.3, Problem...

Q 4. (07.06) Find the product of (4x - 3)(2x2 - 7x + 1). (2 points) O 8x3 - 22x2 + 17x- 3 O 8x3 + 8x2 + 4x - 3 O 8x3 - 34x2 + 25x - 3 O 8x3 - 42x2 + 25x - 3 5. (07.06) Find the product of (x2 + 4x -...

1. You are building a planter out of an old metal barrel. You plan to slice it vertically, o turn it on its side and use one half of it to fill with dirt. You plan to put a rubber edging around the 4...

7. Consider the polynomial p(x) =-x4 + x3 + 6x2. [12 marks] a) The degree of this polynomial is The leading coefficient is b) Is the function even, odd, both, or neither? c) Find and classify all...

Please answer 24, 29, 31 der/Homeworks?preview=39002061 owar... 4.2 Echelon Form and Gauss-Jordan Elimination 325 24. x1 - x+ x= 3 a) Find the maximum value of ary such that 2x + 12 - 4ry = -3 x1 2 0...

i need to fill in the blank. please let me know just answers i do not need any explanation 7. [-/1 Points] DETAILS LARCALC11 2. 1.025. Find the derivative of the function by the limit process. f ( x...

Verify that equation (21.12) satisfies the Black-Scholes equation. What is the boundary condition for which this is a solution? Discuss.

Would moral hazard and adverse selection still arise in financial markets if information were not asymmetric? Explain.

Find the value of the unknown in each of the following right-angled triangles. (a) B x cm 11 cm (b) R 67 30 cm 8.7 cm

Gross Profit Method Sliver Lumber Company handles three principal lines of merchandise with these varying rates of gross profit on cost. Lumber.......................25%...

The Butler-Perkins Company (BPC) must decide between two mutually exclusive projects. Each costs $6,750 and has an expected life of 3 years. Annual project cash flows begin 1 year after the initial...

The City of Sharpesburg received a gift of $950,000 from a local resident on June 1, 2012, and signed an agreement that the funds would be invested permanently and that the income would be used to...

Annunzio Enterprises purchased a delivery truck on January 1, 2012, at a cost of $41,000. The truck has a useful life of 7 years with an estimated salvage value of $6,000. The straight-line method is...

Turner Company ended its fiscal year on July 31, 2012. The company's adjusted trial balance as of the end of its fiscal year is as shown below. Instructions (a) Prepare the closing entries using page...

Positive and negative effects of AICPA, PCAOB and GAO standards

Please tell answer of these questions 3 Practice questions 1.Find the equation of the secant line on the curve f (x) = 4): p_assing through the points x0 = 1 and x1 = 4, and show this line on the...

Practice Problems : method 1 | Minimize the following f (x ) using conjugate gradient method - newton's method XO- (1, 2)7 method 2. Solve by both methods # 2 ) f ( X ) = 5 x 12 + 2 21 - 2 21, 26 -...

I need help with these 5 calculus questions: Suppose that f and g are one-to-one differentiable functions. Consider the following table of values: x f' g g 0 2 5 4 1 3 2 3 -3 2 5 3 1 -2 3 10 4 0 -1...

ANSWERS ONLY 17 - 18. Which of the following conditions make a single - valued function f 2 points (x) continuous at x = a of its domain? * 1. f(a)is defined Il. lim f (x )exists x -a x-a Ill. lim f...

SM 3. Differentiate w.r.t x the following functions: (a) ( b ) x 1 ( x2 + 1 ) Vx (c) (d) *+1 x - 1 (e) *+1 3x - 5 3x - 1 x5 ( f ) 2x + 8 (g) 3x-11 (h) x 2 + x + 1 4. Differentiate w.r.t x the...

f(x) = x4 10::3 + 5th2 + 50x 305 5-61' is a zero (a) Find all the zeros. Write the answer in exact form. If there is more than one answer, separate them with a comma. Select "None" if applicable....