220 results for "formula".

Question in PV EnglishFormulate a recurrence relation (= difference equation) and solve this recurrence relation.

Question in Andrew's workspace
A question testing the application of the Area of a Triangle formula when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Question in Julie's workspace
$X \sim \operatorname{Binomial}(n,p)$. Find $P(X=a)$, $P(X \leq b)$, $E[X],\;\operatorname{Var}(X)$.
rebelmaths

Exam (3 questions) in Yvonne's workspaceIn this practice test you can work on simple equations and also solving quadratics using the formula. You should give all answers to 2 decimal places.

Question in Christian's workspace
Write down the NewtonRaphson formula for finding a numerical solution to the equation $e^{mx}+bxa=0$. If $x_0=1$ find $x_1$.
Included in the Advice of this question are:
6 iterations of the method.
Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

Exam (3 questions) in Transition to university
Apply formulas to calculate the areas of various shapes.

Question in MY QUESTIONS
Substitute values into formulae for the area or volume of various geometric objects.

Exam (5 questions) in Christian's workspace
Identify parts of statistical formulas, and answer questions about how changing one variable affects the statistic.

Question in Content created by Newcastle University
Given three linear combinations of four i.i.d. variables, find the expectation and variance of these estimators of the mean $\mu$. Which are unbiased and efficient?

Question in Content created by Newcastle University
Find the polynomial $g(x)$ such that $\displaystyle \int \frac{ax+b}{(cx+d)^{n}} dx=\frac{g(x)}{(cx+d)^{n1}}+C$.

Question in Content created by Newcastle University
Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q}\;dx$.

Question in Content created by Newcastle University
Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Question in Content created by Newcastle University
$Y \sim \operatorname{Poisson}(p)$. Find $P(Y=a)$, $P(Y \gt b)$, $E[Y],\;\operatorname{Var}(Y)$.

Question in Content created by Newcastle University
Cauchy's integral theorem/formula for several functions $f(z)$ and $C$ the unit circle.

Question in Content created by Newcastle University
Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.
Entering the correct roots in any order is marked as correct. However, entering one correct and the other incorrect gives feedback stating that both are incorrect.

Question in Transition to university
Given the first few terms of an arithmetic sequence, write down its formula, then find a couple of particular terms.

Question in Transition to university
Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

Question in Transition to university
Factorise a quadratic expression of the form $x^2+akx+bk^2$ for $x$, in terms of $k$. $a$ and $b$ are constants.

Question in Transition to university
Substitute values into formulae for the area or volume of various geometric objects.

Question in Transition to university
Substitute given values into formulas.

Question in Transition to university
Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

Question in Transition to university
Given a geometric sequence, find the common ratio (negative in this question), write down the formula for the nth term and use it to calculate a given term.

Question in Transition to university
Given the first four terms of a quadratic sequence, write down the formula for the $n^\text{th}$ term.

Question in Transition to university
Given the first three terms of a sequence, give a formula for the $n^\text{th}$ term.
In the first sequence, $d$ is positive. In the second sequence, $d$ is negative.

Question in Transition to university
Given a formula for a sequence, calculate a given term.

Question in Transition to university
Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

Question in Transition to university
Given the first and last terms of a finite arithmetic sequence, calculate the number of elements and then the sum of the sequence.
Each part is broken into steps, with the formula given.

Question in Transition to university
This question tests the students ability to calculate the area of different 2D shapes given the units and measurements required. The formulae for the areas are available if required but students are encouraged to try to remember them themselves.
The shapes are: a rectangle, a parallelogram, a rightangled triangle, and a trapezium.
Author of gif: Picknick
https://commons.wikimedia.org/wiki/File:Parallelogram_area_animated.gif
This file is licensed under the Creative Commons AttributionShare Alike 4.0 International license. 
Question in NC Math 3
No description given

Question in Maths_and_Stats's workspace
Write down the NewtonRaphson formula for finding a numerical solution to the equation $e^{mx}+bxa=0$. If $x_0=1$ find $x_1$.
Included in the Advice of this question are:
6 iterations of the method.
Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.