Write the vector in the form (a,b). у Au 0 > X -80° The vector is...
חי3 Find the magnitude and direction of the resultant vector у mber Ess 30° A= 80 N OU B= 120 N 30° X C= 100 N Direction .
Write the following in the simplest form a Vb, where a and b are integers, b>0, and b has the least value possible. 750 Select the correct choice below and, if necessary, fill in the answer box to complete your answer. OA. 750 = (Type an exact answer, using radicals as needed.) O B. The solution is not a real number. Click to select and enter your answer(s) 12/10/19 Chapter 8 Review Type here to search
solve the PDE +u= at2 on 3 € (0,L), t > 0, with boundary conditions au 2x2 u(0,t) = 0, u(L, t) = 0 au and initial condition u(x,0) = f(x), at (x,0) = g(x) following the steps below. (a) Separate the variables and write differential equations for the functions (x) and h(t); pick the separation constant so that we recover a problem already studied. (b) Find the eigenfunctions and eigenvalues. (c) Write the general solution for this problem. (d)...
2. Consider the following problem au au at2 = 2,2 -00<< ,> 0. 1- C for - 1<x<1 u(a,0) = 1 0 for x > 1 (3,0) = sin(x), -o0 < x < 00. Write the solution of the problem as a sum of a forward and backward wave.
Write the parametric equations x=2siny=4cos0 in the given Cartesian form. y^2/16= with x0. Write the parametric equations x=2sin2y=5cos2 in the given Catesian form. y= with 0x2. Write the parametric equations x=4ety=8e−t as a function of x in Cartesian form. y= with x0. Write the parametric equations x = 2 sin 0, y = 4 cos 0, 0<O< in the given Cartesian form. = with x > 0. 16 Write the parametric equations x = 2 sin’e, y = 5 cos?...
Question 1 - 16 Consider the following intial-boundary value problem. au au 0<x< 1, 10, at2 ax?' u(0,t) = u(11,t) = 0, 7>0, u(x,0) = 1, 34(x,0) = sin10x + 7sin50x. (show all your works). A) Find the two ordinary differential equations (ODES). B) Solve these two ODES. Show all cases 1 <0, 1 = 0, and > 0 C) Write the complete solution of this initial - boundary value problem.
Write the following as an algebraic expression involving only x. Assume x <0. sin(arcsin x + arccos x)
Write the following expression as an algebraic expression. V3 tan where x > 0 V22 +
Write the given linear system in matrix form. Assume X = Х у z = -3x + 7y - 92 dx dt dy dt dz dt = 5x - y = 10x + 7y + 3z X' = X + x
a) Use the d'Alembert solution to solve au au - <r< ,t> 0, at2 48,2 ux,0) = cos 3x, u(,0) = 21 b) Consider the heat equation диди 0<x<1, t > 0, at ax? with boundary conditions uz (0,t) = 0, uz(1,t) = 0, > 0, and initial conditions u(x,0) = { 0, 2.0, 0<r < 0.5, 0.5 <<1. Use the method of separation of variables to solve the equation.