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Concept explainers
a.
To find: the best order 2 least squares approximation to the data using the basic function
a.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information:
The initial conditions that are given are,
here is the best order 2 least squares approximation to the data using the basic function
Calculation:
As it’s known that by using DFT equation here is the best order 2 least squares approximation to the data using the basic function
According to Theorem 10.11, the order 2 least square approximation results from dropping all but the first two terms in the trigonometric interpolating function
Therefore, the approximating function is
b.
To find: the best order 2 least squares approximation to the data using the basic function
b.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information:
The initial conditions that are given are,
here is the best order 2 least squares approximation to the data using the basic function
Calculation:
As it’s known that by using DFT equation, here is the best order 2 least squares approximation to the data using the basic function
.Similar to (a).
Dropping all but the first two terms from the trigonometric interpolating function
c.
To find: the best order 2 least squares approximation to the data using the basic function
c.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information:
The initial conditions that are given are, here is the best order 2 least squares approximation to the data using the basic function
Calculation:
As it’s known that by using DFT equation, here is the best order 2 least squares approximation to the data using the basic function
Similar to (a). Dropping all but the first two terms from the trigonometric interpolating function
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Chapter 10 Solutions
Numerical Analysis
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- 1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is Question 1 -0.246 0.072 -0.934 0.478 -0.914 -0.855 0.710 0.262 .arrow_forwardAnswer the number questions with the following answers +/- 2 sqrt(2) +/- i sqrt(6) (-3 +/-3 i sqrt(3))/4 +/-1 +/- sqrt(6) +/- 2/3 sqrt(3) 4 -3 +/- 3 i sqrt(3)arrow_forward2. Answer the following questions. (A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity Vx (VF) V(V •F) - V²F (B) [50%] Remark. You are confined to use the differential identities. Let u and v be scalar fields, and F be a vector field given by F = (Vu) x (Vv) (i) Show that F is solenoidal (or incompressible). (ii) Show that G = (uvv – vVu) is a vector potential for F.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
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