-8. Show that the cosine transform ofc", α > 0, is (see the previous problem) 1/2 Use this result to show that cos ax 2b Use the result of the previous problem to show that -9. x2 + b2-2 0...
HW6: Problem 9 Previous Problem Problem List Next Problem (1 point) Find the Laplace transform of f(t) = 2te2sin(t) F(8) HW6: Problem 10 Previous Problem Problem List Next Problem (1 point) Find the Laplace transform of f(t) = t cos(3t) F(3)
2. For the difference cquation, X2+] = ax, + b = f(x,), where 0 <a < 1 and b> 0, use the solution given in (1.12) to find the following limit: lim ->XX7. Show that this limit is also a fixed point of the difference cquation, that is, it is a solution x of t = f(x) (see Figure 1.2).
1 point) Consider the initial value problem y" + 36y-cos(61), y(0)-6 (0)-8, a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). help (formulas) b. Solv e your equation for Y (s) Y(s) = L { y(t)) = c. Take the inverse...
4 0/6.66 points | Previous Answers LarCalcET7 5.3.075 Find the Riemann sum for f(x) x2 +3x over the interval [0, 8] see figure), where xo = 0, x1 = 1, x2-2, x3 = 6, and x,-8, and where C1-1, c2-2,C3-5, and C4-8. 302 10아 80 60 40 20 10 6 4 8 2 20
4 0/6.66 points | Previous Answers LarCalcET7 5.3.075 Find the Riemann sum for f(x) x2 +3x over the interval [0, 8] see figure), where xo =...
Previous Problem Problem List Next Problem x2 + y2 with 2 2 0; its boundary (1 point) The region W lies between the spheres x2 + y2 + z = 9 and x2 + y2 + z = 25 and within the cone z = Is the closed surface, S., oriented outward. Find the flux of F = x +y +z'k out of S. flux
please show all steps
(a) Find the Laplace transform of the solution of the initial-value problem y" - 4y + 3y = -3x + 2 cos(3x), y(0) = 2, y (0) = 3. 8² +68 is the Laplace transform of the solution of an intitial-value problem. Find the (8 + 1)(82 +9) solution y = y(a) by finding the inverse transform of Y.
Use the Laplace transform to solve the given initial-value problem. y" + y = 8(6 - ) + 8(t-?M), (O) = 0, 7(0) = 0 -cos(t) – Jault --) + ( -cos (1) x )ult- y(t) 7 2 7
Entered Answer Preview Result [e^(-2*1)]*[8*cos((9/5)*1)-14*sin((9/5)*t)] - * (cos(.) – 14 sin(6-)) incorrect The answer above is NOT correct. (1 point) Find y as a function of t if 25y" + 100y + 181y = 0, y(1) = 8, y'(1) = 2. y= e^(-2*t) * (8*cos(9/5*t) -14*sin(9/5*t))
DATA 2 ID X1 X2 X3 Y A 0 2 4 9 B 1 0 8 10 C 0 1 0 5 D 1 1 0 1 E 0 0 8 10 CORRELATION MATRIX Y X1 X2 X3 Y 1 ? -0.304 +0.889 X1 ? 1 -0.327 0 X2 -0.304 -0.327 1 -0.598 X3 +0.889 0 -0.598 1 1. What is the mean squared error of the full model? (Correct answer is 4, please show me how to get there)...
Homework 5: Problem 9 Next Problem Problem List Previous Problem (1 point) Find the temperature function u(r, t) (where is the position along the rod in cm and t is the time) of a 12 cm rod with conducting constant 0,1 whose endpoint are insulated such that no heat is lost, and whose initial temperature distribution is given by: if 6< <8 4 u (,0) 10 otherwise 0.1 To start, we have L 12 Because the rods are insulated, we...