MAB 110 Lecture 8: 2.3 solving equations

Consider the optimization problem minimize fo(x1, x2) subject to 2x1 + x2 2 1 +322 1 2 0, 220. Make a sketch of the feasible set. For each of the following objective functions, give the optimal set and the optimal value. a) Jo(2:1,T2)=T1+T2. 0 (1,2) -12 (c) fo(2:1,T2)= (d) fo(x1,T2)=max(a1, T2} x1.

(1 point) (a) Find the inverse of the matrix 4 -12 21 2-4 3 -5 6 4 (b) Use the answer from part (a) to solve the linear system 4 2x2 3x2 4x3 5x3 T2 T3

Part 1 of 4 Recall that the average velocity between times t1 and t2 is calculated using 2 t2 t1 we are given that y = 8t-186t2. Evaluating at t= 1, we have y(1) 8(1)-1.86(1)2 6.14. Thus, the average velocity between times 1 and 1 + h is as follows. ave1+ b YU) = 18(1+h)-1.86(1+h)21-614 4.28h - h2 h,, h#0 Submit HS