1. Express the following expression in the form a. -tc. Use exact values only. (9 marks)...
Express the following expression in the form.Use exact values only. https://i.gyazo.com/769a230173816aa5174c0037c96fd54d.png
Save Problem #13: [2 marks] [2 marks] Sketch the graph of the function f(x, y) =9-22-y. (A) (B) 30 5 20 2 10 -5 -10 -15 20 A.202 1.21 - 2-4 2-2-4 C ) (D) -5 3 -10 15 (F) 0.5 1.0 04 0.7 0.3 3 -0.5 0.2 0.1 0.1 (G) (H) 15 10 5 0 16 14 12 10 28 -5 -10 -15
Express the following expression in 2. Prove that fand g are equivalent using both the graphical and algebraic approach. If they are not provide a counter-example that shows how they are not equivalent. (6 marks) 2-0.5 +7 a. \r(a) =2() lo(a) [5 (2 f () = 10(3) 9(x) = 6(3)-2- + 7 2+2 b. 9(x) = 30(2.25)-0.25(2-2)
Exercise 1. (a) (10 Marks] Re-write the following Boolean expression using only NAND. ab + c (b) (10 Marks) Draw a circuit, using only NAND gates of arity 2, which implements a NAND gate with an arity of 3. That is, the expression (ABC).
4. Using only periodic trends (not exact values), arrange the following atoms in order of increasing atomic radius: P, As, S, 5. Consider S, CI, and K and their most common ions. a. List the atoms in order of increasing size, using only periodic trends (not exact values). b. List the ions in order of increasing size, using only periodic and ionic trends, not exact values. 6. Select one neutral atom and one ion for each of the following that...
Question 9 [13 marks] A file called tanks.dat consists of the width, height and depth values for a number of water tanks. The values are all floating point and the units are metres. A typical file is shown below: 10 2.0 2.0 1.0 3.0 0.5 1.5 1.0 2.5 0.5 1.0 1.0 0.25 0.5 0.25 0.25 5.0 1.2 1.3 2.5 1.1 0.6 0.8 0.8 0.8 0.7 0.7 0.6 0.5 0.3 0.2 The first row of the file contains the number of...
Find the solution of dy/dt=2y(3−y), y(0)=9. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
1. (a) Express the following system of equations in augmented matrix form. 2x - 4y + 5z = 9 x + 3y + 8z = 41 6x + y - 3z = 25 (2 marks) (b) Use Gaussian elimination to solve the system of equations. (6 marks)
Q.5 6 marks Markov chain with the following (a) Draw the state transition diagram for transition matrix P 0 0.5 0 0.5 0 0.2 0.8 0 0 O P = \ 0 0.1 0 0.2 0.7 0 0.9 0 0.1 0 0 0 0 0 1 on five states 1,2,3,4,5} 2 marks (b) Identify the communicating classes of the Markov chain and identify whether they are open or closed. Write them in set notation and mark them on the transition...
1. (a) Express the following system of equations in augmented matrix form. 2x - 4y + 5z = 9 x + 3y + 8z = 41 6x + y - 3z = 25 (2 marks) (6) Use Gaussian elimination to solve the system of equations. (6 marks) 2. Given that a matrix A: 18 A= 1 8 -1 4 -1 -1 -1 8 (a) Determine AT. (6) Calculate the det (A). (2 marks) (6 marks) 3. Refer to the graph...