a) Given AE = 5, ED = 3 and DC = 6, calculate the following. 40=8.39...
2. (a) Consider the following matrices: A = [ 8 −6, 7 1] , B = [ 3 −5, 4 −7] C = [ 3 2 −1 ,−3 3 2, 5 −4 −3 ] (i) Calculate A + B, (ii) Calculate AB (iii) Calculate the inverse of B, (iv) Calculate the determinant of C. (b) The points P, Q and R have co-ordinates (2, 2, 1), (4, 1, 2) and (5, −1, 4) respectively. (i) Show that P Q~ =...
I have an exam tomorrow so I need explaintion please aj methylenecyclohexane cciOTrexene 11 17. Arrange the following in this order: moderate nucleophile, polar protic solvent, polar aprotic solvent, non-polar I. CH CO2H solvent. 1I. CH CO2K II. OS(CHs)z e) l, III, IV, II be) IlII, , IV, II IV.C&HSCHs a) 1, II, III, IV b) IV, III, I, 1 d) IV, II, III c)l, II, II, IV ab) II, IV, II,I aclI, I, II, IV bd) IV, II, ,...
Figure 2.8 Price $12- NOOOOO TTTTTTTTTTA • 1 2 3 4 5 6 8 9 10 Quantity 85. (Figure 2.8) Which of the following statements is TRUE? I. The price elasticity of demand is less than 1 in absolute value at prices less than $5 II. The price elasticity of demand is elastic at prices above $5. III. The price elasticity of demand is negative infinity at a price of $0. IV. At $5, the price elasticity of demand is...
Let A, B, C, and D be matrices with the following sizes: A, 5×3 B, 3×2 C, 3×5 D, 1×3 Which of the following matrix operations are defined? i) AB (ii) A + 1 4 C (iii) DC
6. For each given series, complete the following tasks: (i) Prove that the series converges ab- solutely; (i) Show that the series satisfies all conditions of the Alternating Series Test; (ii) Find the partial sum sy of the series, and then estimate its remainder Ra: (iv) Determine how many terms are needed to approximate the sum of the series accurate to within 0.001, and then find this approximation. (a) L (b) Σ 27! 6. For each given series, complete the...
The silicon diode shown in the given figure is described by ip = I. (ed/- 1) where at T = 300 K, 1. = 250 x 10-12 A, VT = KT 26 mV, vs = Vs + V3 = 4.2V + 110 cos(wt) mV,w = 377 rad/s, and R = 10 ko. The DC operating (quiescent) point Q and the AC small-signal equivalent resistance at Q are as follows: IDQ = 0.548 mA, VDQ = 0.365 V, and ra =...
5 and 6 please 5. Which of the following make up the three major subclassifications of lipids? Amino acids and proteins ii. Mono-, di-, and polysaccharides iii. Fats, oils, and phospholipids iv. Waxes V. Steroids a. i, ii, and iii b. i, iii, and iv c. ii, iii, and iv d. iii, iv, and v 6. Which of the following are the two types of nucleic acids in all living systems? i. Deoxyribonucleic acid ii. Gluconucleic acid iii. Ribonucleic acid...
3. Given that A = {1, 2, 3} and B = {1, 2, 3, 4, 5, 6}, how many functions f: A → B are there (i) in total? (ii) which are one-to-one? (iii) with f(2) = 6 and f(3) = 5? (iv) with f(1) = 1 and f(2) # 2?
If taxes rate decreases (for example, from 40% to 20%). Given the following four statements: I. The benefit of tax shield created by debt decreases. II. The cost of debt (financial distress and bankruptcy cost) increases. III. When taxes rate is 20%, the cost of equity will increase with leverage but at a slower rate compared to when tax rate is 40%. IV. For the same firm, the optimal capital structure will have a lower leverage ratio when tax rate...
Can you help me to solve question B4 , please:) please B1. (a) A DC circuit is shown in Figure Bl. 1092 B A 802 702 1402 18V Figure B1 Calculate (i) the total resistance across A and B (RT); (5 marks) (11) the total current from the DC supply (Is); (3 marks) (111) the potential difference(p.d.) across the 1422 resistor (V149); (2 marks) (iv) the current flowing through 1022 (11092); (3 marks) (v) the power dissipated by RI (PT)...