Given X ?~N(15,9) and Y = ?5X +3, what is V(Y)?
Solve the given initial value problem for y = f(x). dy = 5x - 3 where y = -3 when x = -7. dx y
QUESTION 9 Given E(X)=2 and Var(X)=4, let Y =5X-3. Find E(Y) Var(Y)
QUESTION 16 1 points Save Answer The propagation of uncertainty formula for the equation y-mx b is V(Aym)2+(Ay(Ayb) where Yn-(mx + b) _ ((m + &n)x + b). Дух-(mx + b) _ (m(x + 5x) + b) and 5x and Sb are the uncertainties on m. x and b respectively. Ifm-o/- 0.3. x - -4.8-0.5 and b - 16/-0g then what is the uncertainty on y? O-(mx + b) _ (mx + (b + Sb)). The values 5m, QUESTION 17...
Find the derivative of the function. y sin-1(5x+ 1) Part 1 of 3 The function y - sin-1(5x + 1) is a composition, and so we must use the Chain Rule, given below, to find the derivative dx[f(g(x))) = f '(g(x))g'(x) For the given function sin 1(5x+ 1), the "inside" function is Sx + and the foutside" function is arcsin (a) Part 2 of 3 Recall that the derivative of y sin-1(x) is 1-(5x - 1)2
Find the derivative of...
for a discrete system, answer the following
5- Find the total response for: y(n 2) +13y(n +1) + 22y(n)-x(n + 1) + 5x(n) x(n)- (0.2)nu(n) With the initial condition y(-1) - 0 and y(-2) 3 Identify the natural and forced response of the system. 6- Find the total response for: y(n 2) + 3y(n + 1) + 2y(n)- x(n + 2) +3x(n +1) + 3x(n) With the initial condition y(-1) -1 and y(-2) 2 Identify the natural and forced response...
Suppose X and Y V(X) = 3 and V(Y ) = 5. Find: (a) V(X + Y ) given that X, Y are independent (b) V(3X + 4) given that X, Y are independent (c) V(X + X) given that E(X · Y ) = −1 (d) V(X + 3Y ) given that E(X · 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...
a) Given the following equations: 5x + y = 16 2x + y = 7 Set up the equations in matrix algebra form. Solve for x and y by premultiplying both sides of the equation by the inverse of the square matrix, (using the rules for computing the inverse of a 2 x 2 matrix given in class). b) Given the following equations: 5x + 2y = 9 10x + 4y = 18 Attempt to solve...
)Given a 4-node element in x-y plane as shown here: Node X 3 3 1 8 a) Using the shape functions in u-v plane, determine an expression for mapped points from u-v to x-y, i.e. x- x(u, v) and y -y(u, v), for points within the 4-node element in u-v plane. Then, determine value of x and y for a point with (u, v)-(0.3,0.3). (10 points) b) Determine the value of Jacobian matrix, [J], and its determinant for such mapping...
write answer in exact simplified form
Given the functons: f(x)=xº+5x g(x)=5x h(x) = 5x-3 Evaluate the function (f •)(r) for x =-2. Write your answer