E. In Excrcises I and 2, find the domains and ranges of f, g.f+g. and f'g. 1. f(x) = x, g(x) = Vx- 1 2. f(x) Vx+ 1, g(x) Vx-1

Given below are the (x,y,z) coordinates of four points. (The units are feet) Point A: [16, 38, 12] Point B: [37, 0, 30] Point C: [0, 30, 24] Point D: [32, 0, 0] A force (vector) Fc is applied at point C. its line of action passes through point A and the direction of the force is towards point A (from point C). The magnitude of the force is 150lbs. 1. Compute the vector ApB, which is the unit vector which points from point D towards point B. 2. Compute MC, which is the moment applied about the line (i.e. axis) DB due to the force Fr. (The result here is a scalar) 3. What are the angles (0x, 0y, 0z) that the components of the unit vector ADA (pointing from point D towards point A) make with the positive (x, y, z) coordinate axes, respectively?

1. For the coordinates shown below given in meters [m]: A(5,25, -6), B(42,30, -20) and C(-25, -47,63), and the magnitude of the force vector |F| = 97 N, determine: a. The position vector 7 b. The magnitude of the position vector |F| [m] c. The force vector F d. The moment vector M %3D e. The magnitude of the moment vector |M| [Nm] y C B 2. For the simply supported beam shown below with dimensions x, = 72 in, d = 24 in, and L = 120 in and external forces F, = 369 # and F2 forces RA [#] and Rg [#]. = 142 #, determine the reaction F. RA Rp

Need help, round answers to 3 sig figs please