@?public

What is always true about two radii and a chord in a circle?? They always make an isoceles triangle. What is always true about the perpindicular bisector of a chord in a circle?? It always passes through the centre of the circle. What is true about angles created from the same arc (think slice of pie)?? They are equal. What is true about angle C, the angles formed by drawing lines from the ends of a diameter to the circumference?
2021-02-22
2 min read
See Also [[Further Maths - Complex Numbers]]S Sergeant further-maths/textbooks/year-2/chapter-1-complex-numbers/ex1a Flashcards What is Euler’s relation?? $$ e^{i\theta} = cos \theta + i \sin \theta $$ Why can you rewrite $e^{i\theta}$ as $\cos\theta + i\sin\theta$?? Because the Macluarin series of $\sin x$, $\cos x$ and $e^x$ match up. How can you write a complex number with argument $\theta$ and moudlus $r$ in exponential form?? $$ re^{i\theta} $$ $$e^{\pi i} = -1$$ What is this identity a special case of?
2021-02-22
2 min read
What is $\csc\theta$?? $$ \frac{1}{\sin\theta} $$ What is $\sec\theta$?? $$ \frac{1}{\cos\theta} $$ What is $\cot\theta$?? $$ \frac{1}{\tan\theta} $$ What is $\csc\theta$ in terms of triangle sides?? $$ \frac{\text{hyp}}{\text{opp}} $$ What is $\sec\theta$ in terms of triangle sides?? $$ \frac{\text{hyp}}{\text{adj}} $$ What is $\cot\theta$ in terms of triangle sides?? $$ \frac{\text{adj}}{\text{opp}} $$ 2021-02-22 $$\cos^2 x + \sin^2 x = 1$$ What do you get if you divide both sides by $\cos^2 x$?? $$ 1 + \tan^2 x = \sec^2 x $$
2021-02-20
1 min read
See Also [[Computing - Networking]]S Flashcards What are the equal chunks of data called that are transmitted around a network?? Packets What does packet switching allow?? Packets to take the fastest route across a network. What is the purpose of a router?? To forward data packets from one network to another. What does your home router connect your network to?? The ISP’s network. What is the name for transfering across a network using a router?
2021-02-11
2 min read
the action of attempting to explain or justify behaviour or an attitude with logical reasons, even if these are not appropriate. Backlinks [[Misc Notes]]N Metadata date: 2021-02-10 21:07 tags: - '@?rationality' - '@?notes' - '@?public' title: Rationalization
2021-02-10
1 min read
What is the largest network in the world called?? The Internet. What is the World Wide Web?? The collection of resources that can be accessed via the Internet. What is main part of the Internet called?? The backbone. What is the backbone?? The set of connections that connect large networks at various points on the globe. If the backbone is at the bottom of the hierarchy of the Internet, what is next?? Regional networks. Who controls regional networks?
2021-02-10
2 min read
How could you imagine any function $f(x)$ could be written as a polynomial?? $$ f(x) = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + … + a_r x^r $$ $f(x) = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + … + a_r x^r$ If you wanted to work out $a_0$, what could you set $x$ equal to?? $$ 0 $$ $f(x) = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + … + a_r x^r$ What happens if you substitute in $x = 0$?
2021-02-09
4 min read
See Also [[Maths - Differentiation]]S [[Maths - Chain Rule]]S Flashcards If $y = uv$, what is $\frac{dy}{dx}$?? $$ u\frac{dv}{dx} + v\frac{du}{dx} $$ If $f(x) = g(x)h(x)$, what is $f'(x)$?? $$ g(x)h'(x) + h(x)g'(x) $$ How would you explain the product rule in English?? To find the derivative of two things multiplied together, add the products of the pairs of each function and its opposite’s derivative. This diagram represents $h(x) = f(x)g(x)$.
2021-02-09
2 min read
Facebook had a big book of everyone’s faces – scary. How has our connected, online world enabled us to publish and distribute personal information? Do you post personal information about yourself online? Do you post persona information about other people online? Is this ethical? How many people in different countries use social networking sites such as Facebook or Twitter? What are some of the negative aspects of social media sites? Negative aspects: Internet trolling Cyberbullying Anonymous blogs Hate sites Should all information be easily and freely accessible to all online?
2021-02-08
2 min read
What type of conductor are thermistors?? Semiconductors. What type of conductor are LDRs?? Semiconductors. How do thermistors and LDRs work?? They have a number densitry that changes in response to environmental effects. What does the resistance-temperature graph look like for a typical thermistor?? For a typical thermistor, what does a low temperature mean?? A high resistance. What does NTC stand for?? Negative Temperature Coffecient. What does a Negative Temperature Coefficient mean?? A low temperature will have a high resistance.
2021-02-08
1 min read
Circles are like smooth squares. Flashcards What’s the gradient of the line passing through the centre?? $$ \frac{2-5}{3-2} = -\frac{3}{2} $$ If the gradient of the line passing through the centre is $-\frac{3}{2}$, what is the gradient of the tangent?? $$ \frac{2}{3} $$ Backlinks [[Maths - Syllabus]]S Metadata date: 2021-02-05 13:27 tags: - '@?maths' - '@?public' title: Maths - Circles Attachments circle-tangent.png
2021-02-05
1 min read
See Also [[Computing - Networking]]S Flashcards What is a thick client?? A computer that does its own processing. What is the main advantage of a thick client?? It doens’t rely on a network. Why might thick clients not be appropriate for running software which costs money?? Because you might have to have a seperate license for each computer. Why are thick clients more difficult to maintain?? They require individual maintance to make sure they are up to date.
2021-02-05
2 min read