1. Evaluate the following determinants: 8 7 3 4 0 2 (a) 4 0 1 (c) 6 0 3 6 03 8 2 3 ab (e) b c с a b 1 1 1 2 3 (b) 4 7 5 3 6 9 4 -2 (d) 8 11 4 х (f) 3 9 5 0 y 2 -18 7
Find determinants of the following matrices: 1 5 7 -1 3 2 A= 3 2 8 B= 6 -2 3 C= 6 1 9 7 10 0 13 4 1 0 4 1 -7 2 3 -4 3 D= 4 12 -3 -9 2 6 7 8
(1 point) a b c Given det d e f = 5, find the following determinants. g h i g h i det a b c de f. a b c 6f + c 6d + a 6e + b 6f + c = g h i 6d + a 6e + b 6f+c d e f = J
25 > Cheder What is the value of K for this action at 298 K? A+B=C+D AG 20.79 KE DU o 0 A C 96 5 & 7 00* O 6 9 O р C t у h f j k L UQ a
4. For the reaction A+B → C+D we find that the rate law is v=k[A]”[B]° Which of the following mechanisms is consistent with the rate law? Explain in detail. a) A+B → C+D b) A+A ~ A2 (fast step) A2 +B → C+D (slow step) c) A+A → A2 (slow step) A2+B → C+D (fast step) d) A+A → A2 (fast equilibrium) A2+B → C+D (slow step)
(1 point) Find the value of k for which the matrix -8 2 4 A= - 71 -5 -3 3 k has rank 2. k =
11 3 -21 10. Use properties of determinants to find the value of the determinant 6 1 -5 18 2 3
A random variable X has the following mgf et M(t)=1−t, t<1. (a) Find the value of ∞ (−1)k E(Xk). (b) Find the value of E(2−X). (c) Find the value of Var(2−X). (d) Find the probability P (X > 4). 10. A random variable X has the following mgf М() t 1 1 t (a) Find the value of 1E(Xk) (b) Find the value of E(2X). (c) Find the value of Var(2-X) k 0 k! (d) Find the probability P(X >...
A. L=3; K=6 B. L=10; K=6 C. L=7; K=9 D. L=8; K=7 The graph below shows a firm's isoquants and isocosts. The firm is initially producing Q=20 with the cost minimizing combination of K and L, where Q is output, Kis capital and L is labor. Suppose the owner decides to expand production to Q=40. However, he signed a lease on the capital necessary to produce Q=20, which he cannot get out of in the short run. In order to...
draw k-maps and write the simplified equation for the following questions 1- f3(A, B, C, D)=m(1, 3, 4, 5, 6, 7, 9, 10, 11, 14, 15) 2- f4(A, B, C, D)=m(0, 1, 4, 6, 8, 9, 10, 12) + d(5, 7, 14) 3- g3(A, B, C, D)=M(0, 5,7, 14, 15) + d(3, 9, 13) 4- h(A, B, C, D, )= m(0, 1, 2, 4, 7, 8, 9, 10, 13, 14, 16, 17, 18, 19, 21, 23, 24, 25, 26,28, 30)...