Consider the equation z=Ay, where A is a constant number. Initially the variables have the values y1 and z1. Then a change occurs, and the final values of the variables are y2 and z2.
z2 = 48.9
y2 = 7.5
z1=27.5
what is y1?
Consider the equation z=Ay, where A is a constant number. Initially the variables have the values...
Consider the equation z=Ay, where A is a constant number. Initially the variables have the values y1 and z1. Then a change occurs, and the final values of the variables are y2 and z2. Version 2: y1= 4.7 y2= 7.6 z1= 25.7 what is z2? Version3: y1= 4.7 z2= 48.5 z1 = 27.9 what is y2? Version 4: y1= 4.4 z2= 46.7 y2= 7.4 what is z1?
5. (a) State the Spectral Theorem for Symmetric matrices. (b) Write out the spectral factorization of =(22 (c) Using the change of variables x Qy, where Q is an appropriate orthogonal matric, express the quadratic form 5ri + 4r1t2 2 in terms of yi and y2. Describe and sketch the graph of the equation 5xi +4z1t2 +22 1 in the z1, z2 plane (d) Find the spectral decomposition of A.
5. (a) State the Spectral Theorem for Symmetric matrices. (b)...
Consider a data set consisting of values for three variables: x, y, and z. Three observations are made on each of the three variables. The following table shows the values of x, y, z, x2, y2, z2, xy, yz, and xz for each observation. Observation x y z x2 y2 z2 xy yz xz 6 6 2 36 36 4 36 12 12 4 3 8 16 9 64 12 24 32 2 6 5 4 36 25 12 30...
1a). Consider the equation ay" + by' + cy = d where d ∈ R and a, b and c are positive constants. Show that any solution of this equation approaches d/c as x → +∞. That is, given y(x) a solution we have lim y(x) as x → +∞ = d/c . 1b.) What happens if c = 0? 1c.) What about the case where b = c = 0?
Part A Consider the beam shown in (Figure 1). EI is constant Determine the equation of the elastic curve tor the beam using the z1 coordinate tor 0 L/2 Express your answer in terms of the variables P, E, I, L, and 01F Figure 1 of 1 Submit Part B Determine the equation of the elastic curve tor the beam using the 2 coordinate for L/2L Express your answer in terms of the variables P, E, I, L, and z...
(b) (8) Consider the following equation where a is a constant. Given that the integrating factor is e', determine the constant a and then find the general solution: 2/+ ay 2e!
Assume two variables Z and Y have the following relationship: Z=10, where Z is on the horizontal axis and Y on the vertical axis. The relationship between Z and Yis a positive relationship because Z is positive an independent relationship because as Y changes, Z remains constant at 10. O a positive relationship because as Y increases, so does Z. Previous Next
5. Consider an object weighing m (kg) that is initially at rest and experiences a constant acceleration of a (m/s2) for a duration of t (s). Express your answer to each of the following questions in the form of an equation involving only the variables m, a, and t (neglecting the effects of friction). (a) What is the force on the object? (b) Integrate the acceleration to obtain the final velocity of the object. (c) Integrate the velocity to obtain...
Please answer this question in both mathematically and with R. I
need R code also.. Its urgent...
3.14 For the variables in Table 3.4, define z 3y1 y2 2y3 (3,-1,2)y. Find z and sz in two ways: (a) Evaluate z for each row of Table 3.4 and find Z and s directly from 21,22,., 210 using (3.1) and (3.5). (b) Use za'y and s2- a'Sa, as in (3.54) and (3.55). The sample mean of a random sample of n observations...
2. Consider the following two equations where all the parameters are non-zero. The two variables ri and r2 are assumed to be exogenous (a) Write down conditions under which the system is simultaneous equations system (2 marks) (b) Suppose the conditionsin (a) hold. What is the identification status of y equa tion (first equation)? How about the identification status of y2 equation (second equation)? (4 marks)
2. Consider the following two equations where all the parameters are non-zero. The two...