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12 SL Kinematics

Complete the following questions before our next class. (You can skip any question parts that involve drawing a “motion diagram.”)

Exercise 17A.1 question 2
Exercise 17A.2 questions 1, 2, 4, 6
Exercise 17B questions 1, 2, 5, 8, 9, 10, 13

12 SL Derivatives of Logarithmic and Trigonometric Functions

Complete the following questions before our next class.

Exercise 15F questions 1abcghi, 2abcghi, 3abcghi, 4
Exercise 15G questions 1defghi, 2defjkl, 3abcghi, 4

Also, think about how you could use what we have covered to calculate the derivative of the tangent function.

[spoiler title=’Hint for finding the derivative of the tangent function.’ style=’default’ collapse_link=’true’]If f(x)=\tan x, then f(x)=\frac{\sin x}{\cos x}, and there’s a rule that might help![/spoiler]

12 SL Derivatives

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.

12 SL The Normal Distribution Part 1

We’ll be finishing the course material over our next two classes, but we’ll also spend some time working thought normal distribution problems in our (long) class tomorrow.

So, while you’ll have some time to work on the questions below in class tomorrow, the more of these you can complete in advance, the more time you’ll have to focus on other questions involving the new material we cover tomorrow.

Exercise 24A questions 4, 6, 8
Exercise 24B questions 1, 2, 3, 4, 7