Questions

To work with derivatives you have to know what a limit is, but to motivate why we are going to study limits lets first look at the two classical problems that gave rise to the notion of a derivative: the tangent to a curve, and the instantaneous velocity of a moving object. 1. The tangent to a curve Suppose you have a function y = f(x) and y …

For many functions the rule which tells you how to compute it is not an explicit formula, but instead an equation which you still must solve. A function which is defined in this way is called an implicit function. 4.1. Example. One can defifine a function f by saying that for each x the value of f(x) is the solution y of the equation X^2 + …

Mechanics: This assignment could require you to visit a local council (or equivalent) and arrange to meet with a planning officer for help in selecting a suitable development application and also asking for assistance during the latter stages of the assignment. The unit coordinator, Mark Crowley, is happy to speak to council, if they require an …

1. Introduction Globally, working from home (WFH) has grown in popularity as a result of the COVID-19 pandemic. But these new working arrangements may negatively affect the productivity of employees. A survey was designed to collect workers' experiences to determine how this new configuration might affect their performance. Therefore, a comp …

Read through the following steps to understand and meet the requirements of this assignment: Step 1: Find a media article You must find a media article. The media article must be: either a newspaper report, magazine article, television/radio transcript that has reported on published quantitative research relevant to your area of study …

Functions 3.1. Definition. To specify a function f you must give a rule which tells you how to compute the value f(x) of the function for a given real number x, and: say for which real numbers x the rule may be applied. The set of numbers for which a function is defined is called its domain. The set of all possible numbers f(x) …

What is the 2007th digit after the period in the expansion of 1/7 ? Which of the following fractions have finite decimal expansions? a = 2/3 , b = 3 /25 , c = 276937 /15625 . Draw the following sets of real numbers. Each of these sets is the union of one or more intervals. Find those intervals. Which of thee sets are finite? A = {x | x^2 …

1. What is a number? 1.1. Different kinds of numbers. The simplest numbers are the positive integers 1, 2, 3, 4, the number zero 0, and the negative integers , ?4, ?3, ?2, ?1. Together these form the integers or whole numbers. Next, there are the numbers you get by dividing one whole number by another (nonzero) whole number. …

An investment account is a type of financial account that is specifically designated for the purpose of investing and managing various types of assets, such as stocks, bonds, mutual funds, real estate, or other securities. It serves as a centralized platform for individuals or organizations to buy, sell, and hold investments. Here are some key p …

Information for students In this task, you are required to demonstrate your skills and knowledge by working through a number of activities and completing and submitting a project portfolio. You will need access to: a suitable place to complete activities that replicates a business environment including a meeting space and computer and i …