Consider each of the following independent and material situations, identified below (i-v). In each case: • the balance date is 30 June 2020; • the field work was completed on 12 August 2020; • the Directors’ Declaration and the Audit report were signed on 19 August 2020; • the completed financial report accompanied by the signed Audit report was mailed to the shareholders on 25 August 2020. (i) On 29 September 2020, you discovered that a debtor at 30 June 2020 had gone bankrupt on 1 September 2020. The debt had appeared collectible at 30 June 2020 and 19 August 2020. (ii) On 12 August 2020, you discovered that a debtor had gone bankrupt on 1 August 2020. The sale took place on 15 July 2020. The cause of the bankruptcy was a major uninsured fire at one of the debtor’s premises on 1 July 2020. (iii) On 13 August 2020, you discovered that a debtor at 30 June 2020 had gone bankrupt on 5 August 2020. The cause of the bankruptcy was an unexpected loss of a major lawsuit issued against the debtor on 10 June 2020. (iv) On 20 August 2020, the company settled a legal action out of court that had originated in 2016 and was listed as a contingent liability at 30 June 2020. (v) On 1 September, you found a letter dated 15 August with a $2 million fine from Environmental Protection Agency. The letter stated that company had illegally dumped chemicals on 15 May 2020. Required: 1. For each of the events described above (i-v), select the appropriate action from the list below, and justify your response. A. Adjust the 30 June 2020 financial report. B. Disclose the information in the notes to the 30 June 2020 financial report. C. Request that the client recall the 30 June 2020 financial report for revision. D. No action is required. (5*1.5= 7.5 marks) 2. If no action is taken by management for each of the events described above (i-v), determine the most appropriate audit opinion to be issued.

Let S be a subset of a vector space V . Show that span(S) = span(span(S)). Show that span(S) is the unique smallest linear subspace of V containing S as a subset, and that it is the intersection of all subspaces of V that contain S as a subset.

Design a limiter circuit such that a ±20 V input sinusoidal wave is limited between +5 V and –3 V at the output. Use a single current limiting resistor and specify its value such that no diode experiences a current greater than 10 mA.

Suppose you have the 8.25 μF capacitor of a heart defibrillator at a potential difference of 13.5 × 104 V. C = 8.25 μF V = 13.5 × 104 V a) What is the energy stored in it in J? b) Find the amount of stored charge in mC.

Java Data Structures (Stack and Recursion)

Using the CODE provided BELOW (WITHOUT IMPORTING any classes from Java Library) modify the classes and add the following methods to the code provided below.

1. Add a recursive method hmTimes() to the CODE BELOW that states how many times a particular value appears on the stack.

2. Add a recursive method insertE() to the CODE BELOW that allows insert a value at the end of the stack.

3. Add a recursive method popLast() to the CODE BELOW that allows removal of the last node from the stack.

4. Add a recursive method hmNodes() to CODE BELOW that states how many nodes does the stack have.

Prove that every method works, MULTIPLE TIMES, in the MAIN StackWithLinkedList2.

CODE:

class Node {

  int value;

  Node nextNode;

  Node(int v, Node n)

  {

    value = v;

nextNode = n;

  }

  Node (int v)

  {

     this(v,null);

  }

}

class Stack {

  protected Node top;

  Stack()

  {

    top = null;

  }

  boolean isEmpty()

  {

    return( top == null);

  }

  void push(int v)

  {

    Node tempPointer;

    tempPointer = new Node(v);

tempPointer.nextNode = top;

top = tempPointer;

  }

  int pop()

  {

    int tempValue;

tempValue = top.value;

top = top.nextNode;

return tempValue;

  }   

  void printStack()

  {

    Node aPointer = top;

String tempString = "";

while (aPointer != null)

{

tempString = tempString + aPointer.value + "\n";

aPointer = aPointer.nextNode;

}

System.out.println(tempString);

  }

  boolean hasValue(int v)

  {

    if (top.value == v)

{

return true;

}

else

{

return hasValueSubList(top,v);

}

  }

  boolean hasValueSubList(Node ptr, int v)

  {

    if (ptr.nextNode == null)

{

return false;

}

else if (ptr.nextNode.value == v)

{

return true;

}

else

{

return hasValueSubList(ptr.nextNode,v);

}

  }

}

public class StackWithLinkedList2{

  public static void main(String[] args){

    int popValue;

    Stack myStack = new Stack();

myStack.push(5);

myStack.push(7);

myStack.push(9);

    System.out.println(myStack.hasValue(11));

  }

}

A rectangular loop of wire is immersed in a non-uniform and time-varying magnetic field. The magnitude of the field is given by B = 4t²x² , where t is the time in seconds and x is one dimension of the loop. The direction of the field is always perpendicular to the plane of the loop. The loop extends from x = 0 to x = 3.0 m and from y = 0 to y = 2.0 m. What is the magnitude of the induced emf in the loop at t = 0.10 s?

(a) 12 V

(b) 14 V

(c) 16 V

(d) 18 V

(e) 20 V

The answer is (b), I just do not understand how to solve this problem. Thanks!

1. When you throw a pebble straight up with initial speed V, it reaches a maximum height H with no air resistance. At what speed should you throw it up vertically so it will go twice as high?

a. Insufficient information

b. 18 V

c. V sqrt(2)

d. 4 V

e. 8 V

2. A 60.0-kg man stands at one end of a 20.0-kg uniform 10.0-m long board. How far from the man is the center of mass (or center of gravity) of the man-board system?

a. 1.25m

b. 5m

c. 9m

d. 2.5m

In each case below either prove that the statement is True or disprove it by giving an example showing that it is False.

(i) If B is a fixed 2 × 2 matrix, then the set U = {A|A ∈ M22, AB = 0} is a subspace of M22. T or F

(ii) If u, v, w are vectors in a vector space V , then span {u, v, w} = span {u + v, u + w, v + w} T or F

(iii) The set {x,sin2 x, cos2 x} is independent in F[0, 2π] T or F

(iv) {1 + x, x + x 2 , x2 + x 3 , x3} is a basis of P3. T or F

A positive charge q is fixed at the point x = 0, y = 0, and a negative charge -2q is fixed at the point x = a, y = 0.

a) Derive an expression for the potential V at points on the x -axis as a function of the coordinate x . Take V to be zero at an infinite distance from the charges. (Express your answer in terms of the given quantities and appropriate constants).

V(x) =

b) At which positions on the x -axis is V = 0? (Enter your answers numerically separated by commas).

x/a =

c) What does the answer to part A become when x>>a ?

V =

d) Explain why this result is obtained.