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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.

What is the wordy definition of Newton’s second law of motion?? The acceleration of an object is directly proportional to the net force ating on the object, is in the direction of the net force and is inversely proportional to the mass of the object. What’s the basic jist of Newton’s second law of motion?? Acceleration is affected in two ways: Increased by more force Decreased by more mass Acceleration is directly proportional to?

How can you solve something like $-x^2 + 7x - 15$?? Take out $-1$ as a factor. What is the result of taking out $-1$ from $15 + 13x - 4x^2$?? $$ -(4x^2 - 13x - 15) $$ How can you solve something like $x^4 + 5x^2 - 36 = 0$?? Substitute $a = x^2$. Substitute $a = x^2$ into $x^4 + 5x^2 - 36 = 0$?? $$ a^2 + 5a - 35 = 0 $$

What is a register?? A temporary storage area in a CPU. Simple computers have an accumulator, more complex computers have…?? Registers. What does LDR Rd, (memory ref) do?? Load the value stored in (memory ref) into register d. How many arguments does LDR take?? 2 I want to put a value at a memory address into a register. What instruction should I use?? LDR. What does LDR R1,300 do?? Load the contents of address 300 into R1.

Other than matricies, how can you solve a system of three equations?? Using the triangle method. How does the triangle method of solving a system of three equations work?? Using back substitution. What are the steps involved in the triangle method?? Add/subtract two equations of three variables to form an equation of two variables Do this for another equation, forming an equation with the same two variables Solve this using simulataneous equations Substitute the new values and solve for the final variable Why is it called the “triangle” method of solving equations?

What does $s$ stand for in SUVAT?? Displacement. What does $u$ stand for in SUVAT?? Initial velocity. What does $v$ stand for in SUVAT?? Final velocity. What does $a$ stand for in SUVAT?? Acceleration. What does $t$ stand for in SUVAT?? Time. What is the acronym for the equations of uniform motion?? SUVAT. By considering PHOTO, what is a general equation for the area under the graph?? $$ \text{area} = ut + \frac{v - u}{2} $$