Show explicitly, using FP transmission equation, that the finesse of FP is F = √R/(1-R)
Show explicitly, using FP transmission equation, that the finesse of FP is F = √R/(1-R)
1. Show how to explicitly solve the recurrence equation below (that is, do not simply quote the Master theorem). T(n) T(n/2) +n2, T(1) 1
1. Show how to explicitly solve the recurrence equation below (that is, do not simply quote the Master theorem). T(n) T(n/2) +n2, T(1) 1
1. Using F(r) = -y/r2, show that the equation of motion in a central force, namely a na = -u(0) - EF (), produces the solution u(b) = (-1(1 + e coso) What are the expressions for C and e in terms of the parameters of the problem? 2. Evaluate the entries for the following table for the given values of e (assume l,u,y are known) E (T + U) Pmax/rmin Shape of orbit 0 .5
[24] Suppose f: [a, b] -[0, 00) is Riemann integrable with respect to a. Show fp is also Riemann integrable with respect to a over [a, b] for any p> 0.
[24] Suppose f: [a, b] -[0, 00) is Riemann integrable with respect to a. Show fp is also Riemann integrable with respect to a over [a, b] for any p> 0.
D:derivative
w: weak
using Finite element method to show is Dar exist for f(x)-k! + 1. Support f: [-1, 1] →R
using Finite element method to show is Dar exist for f(x)-k! + 1. Support f: [-1, 1] →R
Show how to find the absolute
max and min using this equation.
f(x) = 23 – 2:02 + 15.r
Q2. Introduction to numerical methods Write out +1 explicitly in terms of r and n using Euler's method, Improved Euler's method and RK4 method for the following differential equations (a) y, = t + ey (b) y" + ty'-logy = 0. Hint: Write it as a first order system then apply each method as vectors. Now consider for a constant λ < 0 L.e. the solution is y(t) and exponentially decays to zero. (c) Recall the general formula for yn...
Show that f(t – z/u) and f(t+z/u) are general solutions of the transmission line equations assuming that there are no losses ( R=0, G=0). Give the physical interpretation of these solutions. Please show clear work and steps.
Problem 7 (10 Pts) For the converging flow, write the continuity equation and show that V, = f(0)r. Then, write the r and components of the Navier-Stokes equations, and put the Vr into the r and 0 components of the Navier- Stokes equations. Lastly, write the no-slip boundary conditions using f(e). You do not need to solve the equations
Problem 7 (10 Pts) For the converging flow, write the continuity equation and show that V, = f(0)r. Then, write the...
Problem 7 (10 Pts) For the converging flow, write the continuity equation and show that V, = f(e)/r. Then, write the r and e components of the Navier-Stokes equations, and put the Vr into the r and 0 components of the Navier- Stokes equations. Lastly, write the no-slip boundary conditions using f(0). You do not need to solve the equations.
Problem 7 (10 Pts) For the converging flow, write the continuity equation and show that V, = f(e)/r. Then, write...
Explicitly show that the fourth-order polynomial Airy stress function QL will not satisfy the biharmonic equation unless 3A40 +A22 + 3A04-0