Need step by step solution, thanks!
Need step by step solution, thanks! Find matrix functions exp(At), sin(At) and cos(At) if A is...
Please show step-by-step solution and explain. Thanks! For each one of the following functions of t, indicate whether they are periodic or not. If periodic, indicate its period, and if not periodic, indicate why. Assume n is a positive integer. Sin (b) sin (xt) +cos (V3t) (c) sin ( 쭉 ) + cos (2nt) + sin ( 2F) + sin( (d) cos (2nt) (e) cos (xt) - cos (t) (f) sin (nt) cos (2nt) )
Express the general solution of the given system of equations in terms of real-valued functions sin 4t - cos 4t - sir 4t cos 4t sin 4t -cos 4t 4 sin 5t -cos 5 4 sin 4t cos 4t Find the solution of the given initial value problem. Describe the behavior of the solution as t 00 x, x (0) 2 -3 Enclose arguments of functions in parentheses. For example, sin (2) Do not simplify trigonometric functions of nt, where...
the solution need to be in terms of sin and cos (1 point) Consider the linear system -3 -2 = r. 5 3 Find the eigenvalues and eigenvectors for the coefficient matrix. 1 11 = -I V1 = help (numbers) help (matrices) -(3-1)/2 and 1 12 = -. help (numbers) help (matrices) 1 V2 = -(3+i)/2 Find the real-valued solution to the initial value problem x1 = -321 – 2x2, x = 5x1 + 3x2, x1(0) = 2, x2(0) =...
Determine whether the given matrix is orthogonal. If it is, find its inverse. cos sin cos sin A = [ cose sin e sin e 0 cos e - cos ]
| sin(0) Use the identity matrix to find the inverse of A = l-cos(0) cos(0) sin(0)
QA: Pick two of the following functions: sin(3x)*sin(2x) cos(3x)*sin(2x) cos(3x)*sin(1x) cos(3x)*cos(2x) Find the integral of those functions from x= -pi to pi Show all work. hint : graph & use symmetry.
Find the derivative 1.) X(+) = cos(+²) 2.) X(t) = cos(( exp (-+)7²) 3.) × (t) = cos(-exp (+²) 4.) X(t) = cos (exp(+²)) sin(t) s.) X(t) = cos (cos(+)) exp(-t)
- Consider matrix A² b) exp(at) 9 sinfat) + Cos (At) (use the results of the previousite. shorten your solution. A = X, A talot
Find the general solution of the equationFind the general solution of the equationFind the general solution of the equationFind the general solution of the equation 2 cos(3x) - sin(3x) = 22 cos(3x) − sin(3x) = 22 cos(3x) − sin(3x) = 22 cos(3x) − sin(3x) = 2
Problem 1 (a) If z = exp(bt), where a and b are not functions of t, then dz/dt =? (b) 2 = sin (Tī ) cos (TÊ), then the ABSOLUTE VALUE of 'Lo zdx =? Problem 2 (a) What is the most general solution to the following differential equa