CCEA A-Level Further Mathematics A2 1 Pure Mathematics overview quiz quiz
15questions. Pick an answer and you'll see why right away.
De Moivre's theorem states that (cos theta plus i sin theta) to the power n equals:
In exponential form, a complex number is written as:
A non-zero complex number has how many distinct nth roots?
The eigenvalues of a matrix A are found by solving:
An eigenvector v of A satisfies:
The hyperbolic identity linking cosh and sinh is:
The derivative of cosh x is:
The Maclaurin series of a function f(x) begins with the term:
To evaluate an improper integral with an infinite upper limit, you:
The arc length of y equals f(x) from a to b is the integral of:
In polar coordinates, x equals:
The area enclosed by a polar curve is:
A first-order linear differential equation dy/dx plus P y equals Q is solved using an integrating factor equal to:
For the second-order equation a y double-prime plus b y prime plus c y equals 0, the complementary function comes from:
If the auxiliary equation has complex roots p plus or minus q i, the complementary function is: