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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 [[Maths - Differentiation]]S [[Further Maths - Volumes of Revolutions]]S Flashcards What is $x^n$ integrated?? $$ \frac{x^{n+1}}{n+1} + c $$ What is $kx^n$ integrated?? $$ \frac{kx^{n+1}}{n+1} + c $$ Integrate $2x+4$?? $$ x^2 + 4x + c $$ What does $c$ mean in integration?? The constant of integration. Why is a constant of integration important?? Because it represents any constant term that would disappear when being differentiated. What does it mean to find a particular solution of an integral?

See [[Physics - SUVAT Equations]]S , it’s largely the same. If you have two cars which decelerate the same amount ($a$) over the same distance ($s$), which SUVAT equation can you use?? $$ v^2 = u^2 + 2as $$ Two cars, $A$ and $B$, have a $100ms^{-1}$ and $80ms^{-1}$ velocity respectively. Car $B$ reaches a final velocity of $0ms^{-1}$. Car $A$ reaches a final velocity of $x\, ms^{-1}$. They decelerate the same amount ($a$) over the same distance ($s$).

What is the binary number $01011011$ in hexadecimal?? $5B$. What is the nibble $0010$ in hexadecimal?? $2$. What is the nibble $1010$ in hexadecimal?? $A$. What is signed binary?? Where the most significant bit indicated whether the number is positive. In signed binary, what does a $1$ sign bit represent?? The number is negative. In signed binary, what does a $0$ sign bit represent?? The number is positive. What is $10010100$ signing bit?? $1$. Is the signed binary number $10010100$ positive or negative?

Data Representation. Backlinks [[Computing - Syllabus]]S Metadata date: 2020-10-06 10:09 tags: - '@?computing' - '@?school' - '@?public' - '@?safe-to-post-online' title: Computing - Data Representation

When is terminal velocity reached?? When the resultant force on a falling object is zero. What’s the formula for percentage difference?? $$ \text{percentage difference} = \frac{\text{actual} - \text{yours}}{\text{actual}} $$ What’s an alternative to the words more/less or goes up/down in Physics?? Increases. What’s an alternative to the phrase “balanced forces”?? Net force or resultant force is zero. What is the centre of gravity?? The point on an object at which the entire weight of the object may be considered to act.

If the coefficient of $x^3$ is positive, how does a cubic graph look?? PHOTO If the coefficient of $x^3$ is negative, how does a cubic graph look?? PHOTO A cubic equation has roots $-1, 2$ and $3$. Visualise it’s graph?? PHOTO What does a graph of $\frac{1}{x}$ look like?? PHOTO What does a graph of $\frac{1}{x^2}$ look like?? PHOTO What does a graph of $\frac{-2}{x}$ look like?? PHOTO What does a graph of $\frac{-5}{x^2}$ look like?

What is a queue?? A dynamic data structure in which items join at the back and leave at the front. Why is a queue a dynamic data structure?? Because it can contain a variable amount of data. Is a queue FIFO or LIFO?? FIFO. What does FIFO stand for?? First in first out. What is dequeueing?? Where an item is removed from the queue. What is enqueueing?? Where an item is added to the queue.