A 62.0 kg skier starts from rest at the top of a ski slope 55.0 m high. (a) If the frictional forces do -9.80 kJ of work on her as she descends, how fast is she going at the bottom of the slope? (b) Now moving horizontally, the skier crosses an 85.0 m wide patch of soft snow, where pk = 0.31. How fast is she moving after crossing the patch?

For l = 2, determine the matrix representation of the following operators a) L dan L_ b) Lx, Ly, dan Lz

Determine the surm of all possible values of s. 9. Celine traces paths on the grid below starting at point X and ending at point Y. Each path must follow the lines connecting the dots and only ever move horizontally to the right or vertically down. It may be useful to know that there are a total of 924 such paths. Consider the 7 points labelled A, B, C, D, E, F, and G. List these points in decreasing order of the number of paths passing through that point. For example,B is on exactly one path, so B should be the last point in your list.

Find parametric equations for the line through (- 10,2, – 4) perpendicular to the plane 10x+ 9y + 5z = 17. Let z= - 4 + 5t. .. X = y = 0