what sequence always produces numbers whose difference of successive squares is interesting?
2021-10-13
1 min read
when is the area bounded by two different curves bigger or smaller?
2021-10-12
1 min read
how can this result about cubes translate into results about prime numbers?
2021-10-10
1 min read
Flashcards 2021-10-10 How could you compare the size of numbers without converting them to decimal, like $\frac{\sqrt{7}}{2}$ and $\frac{5}{4}$?? Square them or use another function that preserve ordering.
Backlinks [[MAT Questions]]N Metadata date: 2021-10-10 15:40 summary: "" tags: - '@?public' - '@?mat' - '@?notes' - '@?maths' title: MAT - Paper 2015 - Q1J
2021-10-10
1 min read
how often will a function and its derivative intersect?
2021-10-10
1 min read
how many ways can you solve a funky simultaneous equation?
2021-10-10
1 min read
See Also [[Maths - Series]]S [[Further Maths - Series]]S Flashcards What is a recurrence relation?? A definition of a sequence that depends on the previous terms.
If you specify $$U_{k+1} = U_k + 7$$ what must you also specify for it to define a sequence?? $$ U_1 = … $$
What does it mean for a recurrence relation to be decreasing in terms of $U_{n + 1}$ and $U_n$?? $$ U_{n + 1} < U_n $$
2021-10-09
1 min read
Flashcards What is a parametric equation?? An equation where $x$ and $y$ are defined in terms of a parameter $t$.
How do you work out points for a parametric curve?? Plug in a value for $t$ and see what co-ordinate $(x, y)$ it generates.
How can you convert a parametric curve to a Cartesian one?? Rearrange $x$ or $y$ to $t = …$ and then substitute.
Backlinks [[Maths - Syllabus]]S Metadata date: 2021-10-05 18:04 tags: - '@?
2021-10-05
1 min read
what properties does this function that behaves like an exponential have?
2021-09-18
1 min read