Complete the following questions before our next class. We’ll also have a brief quiz on Sets during that class, so answering these questions will be a good way to prepare!)
Exercise 2E questions 1–5
Exercise 2F.1 questions 1–8
Complete the following questions before our next class. We’ll also have a brief quiz on Sets during that class, so answering these questions will be a good way to prepare!)
Exercise 2E questions 1–5
Exercise 2F.1 questions 1–8
On Tuesday we’ll be talking about the Exploration, but we can also discuss solutions to the questions below.
From the Cambridge book, Chapter 19, complete Exercise 19F.
Have a look at these, and also start thinking about an application of mathematics, or a particular topic in mathematics, that you might consider for your Exploration. You can also have a look at the resources posted here.
Complete the following question before our next class (on Monday).
Exercise 2D Questions 1–9
Complete the questions below before our next class on Monday. (These questions will also help you to prepare for the test on Thursday next week.)
Exercise 1F questions 1–5, 7, 9, 12, 15
Exercise 1G questions 2, 3, 7
On Monday we’ll discuss
Complete the following questions before our next class.
Exercise 14E questions 1 i and ii, 2, 3ab, 4b, 5ab, and 6.
Note that in some of these questions you’ll see an alternative notation for the derivative, \(\frac{dy}{dx}\). Whether you use this, or \(f'(x)\), usually depends on how the original function is given to you. So, both \(f(x)=x^2\) and \(y=x^2\) describe the same function (with derivative \(2x\), as we saw in class), but if we’re starting with \(f(x)=x^2\), then we’d write \(f'(x)=2x\), while if we’re start with \(y=x^2\), we’d write \(\frac{dy}{dx} = 2x\).
Complete the following two questions for next class (Friday).
Complete the following questions before our next class (tomorrow).
Exercise 1E questions 1abd, 2, 3
A harder question that you might also try is question 4. If you do try this question tonight, you’ll probably find that Example 24 in the textbook is helpful.
The questions below are optional, but if you can answer them correctly, please do show your solutions to Dr. McDonald! (Also, the equations won’t show up correctly in an email, so click to see these questions on the website if you’ve received an email notice for this post.)
Consider the quadratic equation \(ax^2+bx+c=0\), with \(a\neq 0\) for questions 1 and 2.
Complete the following questions before our next class.
Exercise 2C questions 1–4
Complete the following questions for our next class (exercises are from the Cambridge textbook).
17H questions 1bc, 2–5
17J 1a, 2–5, 6, 8, 9