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Some basic tasks involving vectors, including converting to/from component form, scalar product, resultant vectors.

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$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

A variety of trigonometric equations which can be solved using inverse operations.

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Friction

Friction

End of chapter exercises for Engineering Statics: Open and Interactive 

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots. 

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

Homework set.  Identify zero force members and utilize special loading conditions to simplify trusses.

Interpreting a p-value given the hypothesis.  Common misconceptions. 

Practice using the log rules to add and subtract logarithms

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Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Straight line graph formula

Calculate the functional value at a point.

Calculate the functional value at a point.

This exercise will help you rearrange a linear equation to find the value of a given variable

Factorising polynomials using the highest common factor

Simplifying algebraic expressions