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How many radians in a full circle?? $$ 2\pi $$ How many radians in $360^{\circ}$?? $$ 2\pi $$ How many circles in a half turn?? $$ \pi $$ What is $180^{\circ}$ in radians?? $$ \pi $$ What is $\frac{\pi}{2}$ radians in degrees?? $$ 90^{\circ} $$ What is $90^{\circ}$ degrees in radians?? $$ \frac{\pi}{2} $$ What is $\frac{\pi}{3}$ radians in degrees?? $$ 60^{\circ} $$ What is $60^{\circ}$ degrees in radians?? $$ \frac{\pi}{2} $$ What is $\frac{\pi}{6} radians in radians?

Completing the Square (blank so that the linker doesn’t complain). Backlinks [[Maths - Syllabus]]S Metadata date: 2020-10-14 10:45 tags: - '@?maths' - '@?school' - '@?public' - '@?year-1' title: Maths - Completing the Square

What is the _word- equation for weight?? $$ \text{weight} = \text{mass} \times \text{gravitational field strength} $$ What is the symbol equation for weight?? $$ W = mg $$ The equation $W=mg$ is a special case of which more general formula?? $$ F = ma $$ What are the two different units for $g$, the acceleration due to gravity?? $$ \frac{N}{kg} \\ ms^{-2} $$ Which SUVAT equation would be the most useful for calculating $g$?? $$ s = ut + \frac{1}{2}at^2 $$

In one sentence, how does a camera work?? Approximating a real image by cutting it up into a grid using a light sensor. How is the grid of colour converted into binary in a camera?? Using an analogue-to-digital converter. What is a bitmap?? A grid of pixels. What’s another word for raster graphics?? Bitmap graphics. What is a common bitmap file type?? BMP JPG GIF PNG TIF What is special about a BMP file?

What is a moment?? The turning effect produced by a force around a pivot point. What is the word formula for moments?? $$ \text{moment} = \text{force} \times \text{perpindicular distance} $$ What is the symbol formula for moments?? $$ M = Fd $$ The formula $M = Fd$ is the formula for…?? Moments. What is the principle of moments?? When a body is balanced, the total clockwise moment about a point equals the total anticlockwise moment.

In summary, what are the three things a processor does?? Controls instructions Calculates instructions Executes instructions What is the ALU?? The Arithmetic-Logic Unit What is the CU?? The Control Unit How could you describe the ALU?? The problem solving part of the processor. What’s an example of the arithmetic operations?? Add Subtract Multiply Divide What’s an example of logical operations?? AND OR NOT XOR What’s an example of a shift operation?

What is a quartic?? A 4-th degree polynomial. What’s the largest number of (real) solutions a quartic can have?? $4$. What’s the smallest number of (real) solutions a quartic can have?? $0$. I want to make a quartic with only two roots, $3$ and $4$. How could I do this?? $$ (x-3)(x-3)(x-4)(x-4) $$ Visualise the quartic $x^2(x-3)(x+3)$?? PHOTO When sketching a quatic, what’s the process?? Add the roots to an axis Add the y-intercept Backlinks [[Maths - Syllabus]]S Metadata date: 2020-10-11 11:51 tags: - '@?

What’s another name for air resistance?? Drag. What is the difference between air resistance and drag?? Drag is applicable to fluids other than air. What are the three questions that you should ask at each stage of free fall?? What are the forces? What is the resultant force? What is happening? What’s an easy way to remember the three questions you ask at each stage of free fall?? Forces, resultant, result. A skydiver has just left a plane.

What is the formula for the position of the median?? $$ \frac{n}{2} $$ What is the formula for the position of the lower quartile?? $$ \frac{n}{4} $$ What is the formula for the position of the upper quartile?? $$ \frac{3n}{4} $$ What is the formula for the $p-th$ percentile?? $$ n \times \frac{p}{100} \\ \text{e.g.} 23 \times 0.57 $$ What is the notation for the upper quartile?? $$ Q_3 $$ What is the notation for the lower quartile?

What is the formula for stopping distances?? $$ \text{stopping distance} = \text{thinking distance} + \text{braking distance} $$ What affects reaction time in the context of stopping distances?? Tiredness Alcohol Drugs Other passengers What are the two factors that affect stopping distance?? Reaction time Speed of the vehicle Assuming a constant velocity ($v$) during reaction time, what is the formula for thinking distance?? $$ s = vt $$ What are the three factors that affect braking distance?

In summary, what is volumes of revolutions?? Finding volumes by integrating. Rotating the line $y = x$ around the $x$ axis creates what shape?? A cone. If you have a function $f(x)$ and an interval $[a,b]$, how can you find the volume of revolution around the $x$-axis?? $$ \int^b_a \pi f(x)^2 dx $$ If normal integration is an infinite summation of rectangles, then volumes of revolutions is an infinite summation of?? Cylinders. If you have a cylinder with radius $y$ and width $dx$, then what is the formula for the volume of that cylinder?

See Also https://www.desmos.com/calculator/oyp1sie3gb [[Maths - Modelling with Differentiation]]S [[Maths - Sketching Gradient Functions]]S [[Maths - Chain Rule]]S [[Maths - Product Rule]]S Flashcards What is the derivative of $x^n$?? $$ nx^{(n-1)} $$ What is the derivative of $ax^n$?? $$ anx^{(n-1)} $$ What is $f'(x)$ where $f(x) = 4x^2$?? $$ 8x $$ What is $\frac{dy}{dx}$ for $y = \frac{1}{2} x^{-4}$?? $$ -2x^{-5} $$ What is the derivative of $x^{\frac{1}{2}}$?