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Classify described random variables as qualitative or quantitative (edited)
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Question in Nikon's workspace by Nikon Kurnosov and 1 other

Choosing whether given random variables are qualitative or quantitative.
Paul's copy of Arithmetics of complex numbers I
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Question in NCL MAS1610 / PHY1038 by Paul McFadden and 1 other

Elementary examples of multiplication and addition of complex numbers. Four parts.
Ugur's copy of Find eigenvalues and eigenvectors of matrices, and power of one matrix
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Question in Ugur's workspace by Ugur Efem and 1 other

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$ .
Ugur's copy of Find eigenvalues, characteristic polynomial and a normalised eigenvector of a 3x3 matrix
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Question in Ugur's workspace by Ugur Efem and 1 other

Given a 3 x 3 matrix, and two eigenvectors find their corresponding eigenvalues. Also fnd the characteristic polynomial and using this find the third eigenvalue and a normalised eigenvector $(x=1)$ .
Ugur's copy of Determine if vectors form a spanning set
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Question in Ugur's workspace by Ugur Efem and 1 other

Given $5$ vectors in $\mathbb{R^4}$ determine if a spanning set for $\mathbb{R^4}$ or not by looking for any simple dependencies between the vectors.
Combine linearly dependent vectors to get zero
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Real numbers $a,\;b,\;c$ and $d$ are such that $a+b+c+d=1$ and for the given vectors $\textbf{v}_1,\;\textbf{v}_2,\;\textbf{v}_3,\;\textbf{v}_4$ $a\textbf{v}_1+b\textbf{v}_2+c\textbf{v}_3+d\textbf{v}_4=\textbf{0}$ . Find $a,\;b,\;c,\;d$ .
Find a confidence interval for the population mean with variance unknown,
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 2 others

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean and standard deviation of a sample. The population variance is not given and so the t test has to be used. Various scenarios are included.
Arithmetics of complex numbers II
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Multiplication and addition of complex numbers. Four parts.
Ugur's copy of Parametric representations of a curve - find tangent and length
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Question in Ugur's workspace by Ugur Efem and 1 other

Calculation of the length and alternative form of the parameteric representation of a curve, involving trigonometric functions.
Voorbeeld Uitwiskeling
Needs to be tested
Question in Alexander's workspace by Alexander Holvoet and 1 other

Express $\displaystyle \frac{a}{x + b} \pm \frac{c}{x + d}$ as an algebraic single fraction over a common denominator.
Probabilities from a normal distribution - Electrician
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Question in Julie's workspace by Julie Crowley and 2 others

Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$ .

rebelmaths
Find directional derivative of a scalar field
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Directional derivative of a scalar field.
Ugur's copy of True/false statements about convergent and divergent series,
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Question in Ugur's workspace by Ugur Efem and 1 other

Multiple response question (4 correct out of 8) covering properties of convergent and divergent series and including questions on power series. Selection of questions from a pool.
Ugur's copy of Maclaurin series (three terms)
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Question in Ugur's workspace by Ugur Efem and 1 other

Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$ .
Ugur's copy of Taylor series (three terms)
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Question in Ugur's workspace by Ugur Efem and 1 other

Find the first 3 terms in the Taylor series at $x=c$ for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$ .
Solve an equation in modular arithmetic
Doesn't work
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solving an equation of the form $ax \equiv b\;\textrm{mod}\;n$ where $a$ and $n$ are coprime.
DIfferentiation: product rule
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Differentiate the function $f(x)=(a + b x)^m e ^ {n x}$ using the product rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1} e ^ {n x}g(x)$ .
Find a confidence interval given the mean of a sample, ,
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.
Find a confidence interval given the mean of a sample
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.
Ugur's copy of Parameterisation of a curve - tangent and coordinates at given point,
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Question in Ugur's workspace by Ugur Efem and 1 other

Parametric form of a curve, cartesian points, tangent vector, and speed.
Ugur's copy of Parametric curve - find tangent and coordinates at given point,
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Question in Ugur's workspace by Ugur Efem and 1 other

Parametric form of a curve, cartesian points, tangent vector, and speed.
Ugur's copy of Find points of intersection, tangents, and angles between parametric curves
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Question in Ugur's workspace by Ugur Efem and 2 others

Intersection points, tangent vectors, angles between pairs of curves, given in parametric form.
Ugur's copy of Calculate divergence of vector fields
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Question in Ugur's workspace by Ugur Efem and 2 others

Divergence of vector fields.
Ugur's copy of Find directional derivative of a scalar field,
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Question in Ugur's workspace by Ugur Efem and 1 other

Directional derivative of a scalar field.
Ugur's copy of Find gradient of scalar field,
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Question in Ugur's workspace by Ugur Efem and 2 others

Gradient of $f(x,y,z)$ .

Should warn that multiplied terms need * to denote multiplication.
Divisão de números complexos I
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Question in Matemática A - 12.º Ano by Isabel Sousa and 2 others

Inverse and division of complex numbers. Four parts.
Modulus and argument complex numbers
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!
De Moivre's Theorem: Positive Powers
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find positive powers of the complex numbers.
De Moivre's Theorem: $n$ th roots of a complex number
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find modulus and argument of the complex number $z_1$ and find the $n$ th roots of $z_1$ where $n=5,\;6$ or $7$ .
Factorise a quadratic
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 2 others

Factorise $\displaystyle{ax ^ 2 + bx + c}$ into linear factors.

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