Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

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Answer 1

Question

Chapter 3.3, Problem 1E

a.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

b.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

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u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (ū+v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅w) Support your answer mathematically or a with a written explanation. d) If possible, find u. (vxw) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Question 3 (6 points) u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (u + v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅ w) Support your answer mathematically or a with a written explanation. d) If possible, find u (v × w) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Answer 2

Question

Chapter 3.3, Problem 1E

a.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

b.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

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Answer 3

Question

Chapter 3.3, Problem 1E

a.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

b.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

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Answer 4

Question

Chapter 3.3, Problem 1E

a.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

b.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

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Answer 5

Chapter 3.3, Problem 1E

a.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

b.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

Answer 6

Chapter 3.3, Problem 1E

a.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

Answer 7

Chapter 3.3, Problem 1E

a.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

Answer 8

b.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

Answer 9

b.

To determine

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

Answer 10

Expert Solution & Answer

Answer 11

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Answer 12

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Answer 13

Ch. 3.2 - Prob. 1E Ch. 3.2 - Prob. 2E Ch. 3.2 - Use appropriate Lagrange interpolating polynomials...Ch. 3.2 - Use Nevilles method to obtain the approximations...Ch. 3.2 - Prob. 5E Ch. 3.2 - Prob. 6E Ch. 3.2 - Prob. 7E Ch. 3.2 - Use the Lagrange interpolating polynomial of...Ch. 3.2 - Prob. 9E Ch. 3.2 - Prob. 10E

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

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Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

Calculate the polynomial using Newton’s difference interpolation method at most 1, 2 and 3.

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