
9. Given: KM I JL, JK I KL K Prove: AJKL - AJMK (Using a two-column...
8. D B Given: DE|BC, AD = 5, DB = a +3, AE = a +1, EC = 3(a - 1) Find: a and EC (8 pts) K 9. Given: KM 1 JL,JK I KL Prove: AJKL - AJMK (Using a two-column proof) (10 pts) A Statements Reasons
c. mWUY d. mXvY 9. Given: AB DE, CCE Prove: ?ABC ?EDC Proof Statements Reasons
please i need the question (m) (n)(o) for the detailed proof and
example ! thanks !
Prove that the given statements are true concerning the two sequences of real numbers (an) and (b. 0 and limn→” an-L > 0, then (m) If an, bn lim an) (lim supbn) lim sup (anbn) - (n) If an > 0 and bn > 0 and if both lim supn→ooan and lim supn→oobn are either finite or infinite, then lim sup,-,(anbn) < (lim sup,-o...
W= Continuing to use the three production functions: q = h(KL) K(1/3) L(1/3) q = g(K, L) = min{:K, L}, and q = f(K, L) = K (1/4)(3/4). (h) (6 points) What is the Long Run Cost curve for each of these when r = $4 and $16? (i) (6 points) What are the Long Run Average Cost here? How about the Marginal Cost? (j) (4 points) Provide a convincing argument that a firm using with h(K, L) or 9(K,...
Given the information AS = 291.0 JK AS = -147.0 J/K A+B 2D AH = -731.3 kJ CD AH = 382.0 kJ calculate AG at 298 K for the reaction A+B — 20 AG can privacy policy 80 doo DU . FS $ 4 % 5 3 6 7 00 9 E R T Y U o Р D F. G H J K С B N. M
31 (a) If fis integrable, prove that fa is integrable. Hint: Given e>0, let h and k be step functions such that h f k and j (k-h) < ε/M, where M is the maximum value of Ik(x) +h(x)]. Then prove that h and k2 are step functions with h' srsk (we may assume that OShSSk since f is integrable if and only if I is-why?), and that I (k2 - h2) <e. Then apply Theorem 3.3. (b) If fand...
An m×n
array A
of real numbers is a Monge array if for all i,j,k,
and l
such that 1≤i<k≤m
and 1≤j<l≤n
, we have
>A[i,j]+a[k,l]≤A[i,l]+A[k,j]>
In other words, whenever we pick two rows and two columns of a
Monge array and consider the four elements at the intersections of
the rows and columns, the sum of the upper-left and lower-right
elements is less than or equal to the sum of the lower-left and
upper-right elements. For example, the following...
Given: L1L2 Prove: ZSXQ = ZRXP Which of the following is the reason for statement 4? 3 Statements Reasons 1.Z1L2 1 2. mZ1= m42 2. 3. m41 +mZ3= mZSXQ and mZ2 +m/3 mZRXP 3. 4. mZ1+m43 = mZ2 + m43 4. 5. MZSXQ mZRXP 6. ZSXQ ZRXP = 6 Given: 41 22 Prove: ZSXQ ZRXP Which of the following is the reason for statement 4? 3 X Statements Reasons 1. Z1 22 1. 2. mZ1-m/2 2 3. mZ1+mZ3 = mZSXQ...
2. Using the given logic rules, write a proof sequence for the following assertion. (11 points) pva 4 → pist st זר 74 → Us Statements 1. p Va 2.91 3.(p Ast 4. r 5.9 → (UA) 6. Reasons Given Given Given Given Given 7. 8. 9. 10. 11. t