Question Consider the function ?(?) = ??2 and x = 0, 0.25, 0.5, 1. Then use...

Question Consider the function ?(?) = ??2 and x = 0, 0.25, 0.5, 1. Then use the suitable Newton interpolating polynomial to approximate f(0.75). Also, compute an error bound for your approximation

Dont use a sheet to solve thanks numerical methods

Expert Solution

Colby Messinger answered 2 years ago

Consider the function ?(?) = ??2and x = 0, 0.25, 0.5, 1. Then use the suitable...

Consider the function ?(?) = ??2and x = 0, 0.25, 0.5, 1. Then use the suitable Newton interpolating polynomial to approximate f(0.75). Also, compute an error bound for your approximation.

a random variable X has the following pmf: X -1 0 1 P[X] 0.25 0.5 0.25...

a random variable X has the following pmf: X -1 0 1 P[X] 0.25 0.5 0.25 Define Y = X2 & W= Y+2. Which one of the following statements is not true? V[Y] = 0.25. E[XY] = 0. E[X3] = 0. E[X+2] = 2. E[Y+2] = 2.5. E[W+2] = 4.5. V[X+2] = 0.5. V[W+2] = 0.25. P[W=1] = 0.5 X and W are not independent.

Consider the following Markov chain: 0 1 2 3 0 0.3 0.5 0 0.2 1 0.5...

Consider the following Markov chain: 0 1 2 3 0 0.3 0.5 0 0.2 1 0.5 0.2 0.2 0.1 2 0.2 0.3 0.4 0.1 3 0.1 0.2 0.4 0.3 What is the probability that the first passage time from 2 to 1 is 3? What is the expected first passage time from 2 to 1? What is the expected first passage time from 2 to 2 (recurrence time for 2)? What is the relation between this expectation and the steady-state...

An individual's utility function is U= (X+1)0.5 (Y+2)0.5

An individual's utility function isU= (X+1)0.5 (Y+2)0.5(a) By implicit differentiation, find the slope of any indifference curve and show that it is given by the ratio of marginal utilities of the two goods.(b) Find the indifference curve for U= 6 and show that it is negatively sloped and convex. Does the indifference curve cut the axes? What does this imply about this individual's tastes?

1. Consider the probability distribution shown below. x 0 1 2 P(x) 0.25 0.60 0.15 Compute...

1. Consider the probability distribution shown below. x 0 1 2 P(x) 0.25 0.60 0.15 Compute the expected value of the distribution. (Enter a number.) Compute the standard deviation of the distribution. (Enter a number. Round your answer to four decimal places.) 2. What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following...

QUESTION 1 Consider the following program: var x = 0; function sub1() { var x =...

QUESTION 1 Consider the following program: var x = 0; function sub1() { var x = 1; function sub2() { function sub3() { print x; } sub3(); } function sub4() { var x = 2; sub2(); } sub4(); } sub1(); If this code uses static scoping, when it is executed what is printed? 0 1 2 QUESTION 2 Consider the following program: var x = 0; function sub1() { var x = 1; function sub2() { function sub3() { print...

a) Calculate the maximum MaxDisk value of the function f (x,y) = 9 ln * (x^2+(1+1)y^2+(0.5+0.5))...

a) Calculate the maximum MaxDisk value of the function f (x,y) = 9 ln * (x^2+(1+1)y^2+(0.5+0.5)) on the circle disk with the center of origin and radius 4. b) Also calculate the maximum the value MaxBorder that the function assumes on the border.

1- Use Heun’s method without iteration to solve ?2???2−0.5?+?=0 y(0) = 2 and y’(0) = 0...

1- Use Heun’s method without iteration to solve ?2???2−0.5?+?=0 y(0) = 2 and y’(0) = 0 solve from x = 0 to 3 using h = 0.2 (step size) present y values as a table versus x values (50p) Instructions about question 1: considering step size and interval for x it will not be reasonable to proceed through hand calculations. You may want to use excel or other software but you need to write down first 3 steps of the...

For the given function f(x) = cos(x), let x0 = 0, x1 = 0.25, and x2...

For the given function f(x) = cos(x), let x0 = 0, x1 = 0.25, and x2 = 0.5. Construct interpolation polynomials of degree at most one and at most two to approximate f(0.15)

Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))^2 (a) Find...

Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))^2 (a) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Apply the First Derivative Test to identify the relative extrema. relative maximum (x, y) = relative minimum (x, y) =

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