9. plot the light scattered intensity (arbitrary units) versus scattering angle that you would expect to see for a very dilute solution of polystyrene with m = 4,000,000 in cyclohexane at 35°c. assume the instrument has an angular range of 20°- 150°. on the same axes show the angular dependence of the intensity if the scattering object were a hard sphere with the same rg,

Let v1, v2, w be three linearly independent vectors in r 3 . that is, they do not all lie on the same plane. for each of the following (infinite) set of vectors, carefully sketch it in r 3 , and determine whether or not it is a vector space (i.e., a subspace of r 3 ). explain your reasoning

Astone is dropped with no initial velocity from the top of a cliff and hits the ground a time of 3.9 s later. what is the height of the cliff, in units of meters? you may assume that air resistance is negligible. give the answer as a positive number question 15 a figure skater is rotating at a rate of 200 revolutions per minute. what is the angular speed, in units of rad/s? 200 o 20.9 12000 o 3.33

The image shows a pendulum in simple harmonic motion the pendulum starts at a and swing to e