Determine the domain of each rational function, and express the rule for each function in an equivalent form in
lowest terms.
a. f(x) = x4 / x2
b. f(x) = 3x + 3 / 15x − 6
c. f(x) = x2 − x − 2 / x2 + x
d. f(x) = 8x2 + 2x − 15 / 4x2 − 4x − 15
e. f(x) = 2x3 − 3x2 − 2x + 3 / x3 − x
f. f(x) = 3x3 + x2 + 3x + 1 / x3 + x

Abee with velocity vector r'(t) starts out at (5, −5, −3) at t = 0 and flies around for 5 seconds. where is the bee located at time t = 5 if 5 0 r'(u)du = 0?

Consider the following estimates from the early 2010s of shares of income to each group. country poorest 40% next 30% richest 30% bolivia 10 25 65 chile 10 20 70 uruguay 20 30 50 1.) using the 4-point curved line drawing tool, plot the lorenz curve for bolivia. properly label your curve. 2.) using the 4-point curved line drawing tool, plot the lorenz curve for uruguay. properly label your curve.

Find the arc length of the semicircle. 7the grade