What’s (E∩F)×(F∪G)

pints)Let f(x) = x² and g(x) = |x|. Determine f(2), f(3), and f(5). b) Determine g(-4), g(10), and g(6). Use part a) to show that f(2 + 3) = f(2) + f(3) is not a true statement. use part b) to show that g(-4+10) = g(-4) + g(10) is not a true statement.

Let % = {b1, b2} and C = {C1, C2}. Find [v], and [v]g· 10 -9 -8, -5 -4 -3, cl -2 + 3 2 -2 -3 + V 46- bl c2 2 b2 7 8 10 11 12, V 13 A A

Find (a) u × v, (b) v × u, and (c) v × v. u = (3, −3, −3), v = (3, −3, 3)

Determine: If S = {(1,2), (1, -1)} a basic for R2

Prove the property a × b = -b xa of this theorem. Let a = (a₁, a2, a3) and b = (b₁, b₂, b3). Then axb= = = (−¹)| () (-1) = -b x a.

Find (u + v) ∙ (2u − v) when u ∙ u = 4, u ∙ v = −5, and v ∙ v = 10.