The trace of an n×n matrix A, denoted tr(A), is thesum of its diagonal entries; that is, tr(A) = a11 + a22 +· · ·+annShow that(a) tr(AB) = tr(BA)(b) if A is similar to B, then tr(A) = tr(B).

Consider symmetrically placed rectangular insulators with uniformly charged distributions of equal magnitude as shown. x y −−−−−− what is the direction of the net field at the origin?

The data shown in the table below represents the weight, in pounds, of a little girl, recorded each year on her birthday. age (in years) weight (in pounds) 2 32 6 47 7 51 4 40 5 43 3 38 8 60 1 23 part a: create a scatter plot to represent the data shown above. sketch the line of best fit. label at least three specific points on the graph that the line passes through. also include the correct labels on the x-axis and y-axis. part b: algebraically write the equation of the best fit line in slope-intercept form. include all of your calculations in your final answer. part c: use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

Write the expression as a constant , a single trigonometric function, or a power of a trigonometric function. sin x cos x/ tan x