atable tr te vales of Х,, yl, y(x).and y, _ y(x)for the furetion given below, for 0sxs1. wth h . 0.2 dy 0.2 0.4 0.6 0.8 1.0 (Round to five decimal places as atable tr te vales of Х,, yl, y(x...
In the diagram below the displacement-time-graph of a spring oscillator is given. 0.2 0.4 0.6 0.8 1.2 For a amplitude of A-7.9cm find the maximum velocity. Write your result in m/s with 2 decimal places, e.g. for 1.25789 m/s write: 1.26
Using Lagrange's interpolation formula find y(0.25) from the following table: x 0.2 0.4 0.6 0.8 y0.12 0.48 0.12 Write 3-decimal plates
- 2y²,y(0) =0. 1+x² 4) Consider the IVP y'= х a) Verify that y= is the solution of this IVP. 1+x? b) Use Euler's method to numerically approximate the solution to this IVP over the interval [0,2] in x. Set the mesh width h=0.1. Calculate the true values of y atthe appropriate values of x as well as the error in your numerical approximation. Report your results in the table given. Report answers to four decimal places. Numerical Actual y...
Consider the following. (A computer algebra system is recommended. Round your answers to four decimal places.) y' = 3 cos t − 6y, y(0) = 0 Please solve all parts of d) the equation and the evaluation of y(0.1)~y(0.4) Consider the following. (A computer algebra system is recommended. Round your answers to four decimal places.) y 3 cos t - 6y, y(0)0 (a) Find approximate values of the solution of the given initial value problem at t 0.1, 0.2, 0.3,...
Compute Δy and dy for the given values of x and dx = Δx. (Round your answers to three decimal places.) y = 3 x , x = 4, Δx = 1
Consider joint probability distribution given below y fxy (x, у) х 1.0 1 11/32 1/32 1.5 2 1.5 1/4 2.5 4 1/4 3.0 1/8 Determine the following: In your intermediate calculations, round all fractions to three decimal places. Round your answers to three decimal places (e.g 98.765) (a) Conditional probability distribution of Y qiven that X = 1,5. у Fуus 0) 1 2 3 5 (b) Conditional probability distribution of X given that Y 2. 1.0 1.5 2.5 (c) E(YIX...
Four decimal places Given the probability distributions for variables X and Y shown to the right, compute the terms below. 0.4 0.2 0.3 - 150 70 200 250 50 40 20 10 a.EX) and E(Y) b. σχ and σγ C.ƠXY d' E(X + Y)
Consider the following initial value problem у(0) — 0. у%3D х+ у, (i) Solve the differential equation above in tabular form with h= 0.2 to approximate the solution at x=1 by using Euler's method. Give your answer accurate to 4 decimal places. Given the exact solution of the differential equation above is y= e-x-1. Calculate (ii) all the error and percentage of relative error between the exact and the approximate y values for each of values in (i) 0.2 0.4...
Given are five observations for two variables, x and y. (Round your answers to two decimal places.) xi 3 12 6 20 14 yi 55 40 55 10 15 (a) Estimate the standard deviation of ŷ* when x = 11. (b) Develop a 95% confidence interval for the expected value of y when x = 11. to (c) Estimate the standard deviation of an individual value of y when x = 11. (d) Develop a 95% prediction interval for y...
A. Identify the test statistic=_____ (Round to two decimal places) The P-value is=_____ (Round to three decimal places) What is the concluion for this hypothesis test? A. Fail to reject Upper H0. There is sufficient evidence to warrant rejection of the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. B. Reject Upper H 0. There is insufficient evidence to warrant rejection of the claim that the variation of...