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The following y vs. x data is given x y 1 2.25|3.7 15.1 4.256 13.7 15.1...
Assuming that the first spline is linear in quadratic spline interpolation, the number of unknowns in...
Assuming that the first spline is linear in quadratic spline interpolation, the number of unknowns in the splines for 10 data points is QUESTION 2 The following y vs. x data is given 1 225 3.7 5.1 4.25 68615.1 The data is fit by quadratic spline interpolants given by AX) - 2.85 +1.4x, 1 5X5 2.25 AXX2dx +2.25 SX5 3.7 A x) = fx2gx+, 3.7<*5.1 The value of d most nearly is QUESTION 3 The following y vs. x data...
6. (20) Consider the table X 02 3 y = f(x) 7 11 -4 (a) Fit...
6. (20) Consider the table X 02 3 y = f(x) 7 11 -4 (a) Fit the given data with a quadratic spline. (b) Find an approximate value of f(3) using the first-degree spline. 6. (20) Consider the table X 0 | 2 | y = f(x) | 7 11 | 3 5 (a) Fit the given data with a quadratic spline. YE (b) Find an approximate value of f (3) using the first-degree spline.
Please note that X is time Value Position vs Time Linear Fit m y = mx...
Please note that X is
time
Value Position vs Time Linear Fit m y = mx + b Quadratic Fit Α. B 0.305 -0.0583 y=0.305x -0.0583 4 1 0.110 -0.0663 0.195... yöllx'-0.0663x7.195 |(1.550, 0.359) 1(1.600,0.373) 0.28 y = Ax?+ Bx + C (x1, yı) (x2, Y2) Slope For Position vs Time data: (a) Did your quadratic fit of this graph provide initial position? If yes, what is its value? (4 points) (b) Did your quadratic fit of this graph provide...
Given the data -1 | 1 | 2 Y | 1 | 3 | 3 find...
Given the data -1 | 1 | 2 Y | 1 | 3 | 3 find the best least squares fit by a linear function y=co+gx
Please show steps. Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0)...
Please show steps.
Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Euler's method is most nearly 5.333 1.010 -0.499 17.822 Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Runge-Kutta 4^th order method is most nearly 5.333 1.010 -0.499...
(1 point) The joint probability density function of X and Y is given by f(x, y)...
(1 point) The joint probability density function of X and Y is given by f(x, y) = cx – 16 c”, - <x< 0 < b < co alt 0 < y < 0 Find c and the expected value of X: c = E(X) =
Suppose that f(x, y) = cx, for 0 y x 2. (a) Find c. (b) Find P(x > 1 and Y < (c) Find the margina...
Suppose that f(x, y) = cx, for 0 y x 2. (a) Find c. (b) Find P(x > 1 and Y < (c) Find the marginal pdf of X. (d) Find the conditional pdf of Y given that X = x. (e) Find E[Y IX x (f) Find E[E[YX]]. (g) Find Cov(X, Y) (h) Are X and Y independent?
Suppose that f(x, y) = cx, for 0 y x 2. (a) Find c. (b) Find P(x > 1 and Y
(a) Suppose you are given the following (x, y) data pairs
(a) Suppose you are given the following (x, y) data pairs x136y217Find the least-squares equation for these data (rounded to three digits after the decimal) (b) Now suppose you are given these (x, y) data pairs. x217y136Find the least-squares equation for these data (rounded to three digits after the decimal). (c) In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair? Yes No (d) Solve your answer from part (a) for x (rounded to...
Exercise 6: Given the table of the function f(x)-2" 2 X 0 3 2 f(x) 1 2 4 8 a) Write down the Newton polynomial...
Exercise 6: Given the table of the function f(x)-2" 2 X 0 3 2 f(x) 1 2 4 8 a) Write down the Newton polynomials P1(x), P2(x), Pa(x). b) Evaluate f(2.5) by using Pa(x). c) Obtain a bound for the errors E1(x), E2(x), Es(x) Exercise 7: Consider f(x)- In(x) use the following formula to answer the given questions '(x) +16-30f+16f,- 12h a) Derive the numerical differentiation formula using Taylor Series and find the truncation error b) Approximate f'(1.2) with h-0.05...
1. Given the data table with f(x) = yn for a unkown function f, determine the...
1. Given the data table with f(x) = yn for a unkown function f, determine the cubic spline interpolation that intersects with the 3 data points. No need to solve for the coefficients. Just set up the eight equations. 1.1 3.5 1.2 3.7 1.3 2.9 2. The fixed point iteration can be used to find the solution of a function f(r) = 0. To use this method, we need to first identify g(x) such that the solution of g(x) =...
Assuming that the first spline is linear in quadratic spline interpolation, the number of unknowns in the splines for 10 data points is QUESTION 2 The following y vs. x data is given 1 225 3.7 5.1 4.25 68615.1 The data is fit by quadratic spline interpolants given by AX) - 2.85 +1.4x, 1 5X5 2.25 AXX2dx +2.25 SX5 3.7 A x) = fx2gx+, 3.7<*5.1 The value of d most nearly is QUESTION 3 The following y vs. x data...
6. (20) Consider the table X 02 3 y = f(x) 7 11 -4 (a) Fit the given data with a quadratic spline. (b) Find an approximate value of f(3) using the first-degree spline. 6. (20) Consider the table X 0 | 2 | y = f(x) | 7 11 | 3 5 (a) Fit the given data with a quadratic spline. YE (b) Find an approximate value of f (3) using the first-degree spline.
Please note that X is
time
Value Position vs Time Linear Fit m y = mx + b Quadratic Fit Α. B 0.305 -0.0583 y=0.305x -0.0583 4 1 0.110 -0.0663 0.195... yöllx'-0.0663x7.195 |(1.550, 0.359) 1(1.600,0.373) 0.28 y = Ax?+ Bx + C (x1, yı) (x2, Y2) Slope For Position vs Time data: (a) Did your quadratic fit of this graph provide initial position? If yes, what is its value? (4 points) (b) Did your quadratic fit of this graph provide...
Given the data -1 | 1 | 2 Y | 1 | 3 | 3 find the best least squares fit by a linear function y=co+gx
Please show steps.
Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Euler's method is most nearly 5.333 1.010 -0.499 17.822 Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Runge-Kutta 4^th order method is most nearly 5.333 1.010 -0.499...
(1 point) The joint probability density function of X and Y is given by f(x, y) = cx – 16 c”, - <x< 0 < b < co alt 0 < y < 0 Find c and the expected value of X: c = E(X) =
Suppose that f(x, y) = cx, for 0 y x 2. (a) Find c. (b) Find P(x > 1 and Y < (c) Find the marginal pdf of X. (d) Find the conditional pdf of Y given that X = x. (e) Find E[Y IX x (f) Find E[E[YX]]. (g) Find Cov(X, Y) (h) Are X and Y independent?
Suppose that f(x, y) = cx, for 0 y x 2. (a) Find c. (b) Find P(x > 1 and Y
Exercise 6: Given the table of the function f(x)-2" 2 X 0 3 2 f(x) 1 2 4 8 a) Write down the Newton polynomials P1(x), P2(x), Pa(x). b) Evaluate f(2.5) by using Pa(x). c) Obtain a bound for the errors E1(x), E2(x), Es(x) Exercise 7: Consider f(x)- In(x) use the following formula to answer the given questions '(x) +16-30f+16f,- 12h a) Derive the numerical differentiation formula using Taylor Series and find the truncation error b) Approximate f'(1.2) with h-0.05...
1. Given the data table with f(x) = yn for a unkown function f, determine the cubic spline interpolation that intersects with the 3 data points. No need to solve for the coefficients. Just set up the eight equations. 1.1 3.5 1.2 3.7 1.3 2.9 2. The fixed point iteration can be used to find the solution of a function f(r) = 0. To use this method, we need to first identify g(x) such that the solution of g(x) =...
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