505 results in Content created by Newcastle University  search across all projects.

Find determinants and inverses of 2x2 matrices
Find the determinant and inverse of three $2 \times 2$ invertible matrices.
Question Ready to use
CC BY Published
Last modified 19/10/2017 16:16
 No subjects selected
 No topics selected
No ability levels selected

Question Ready to use
CC BY Published
Last modified 27/09/2017 15:33
 No subjects selected
 No topics selected
No ability levels selected

Question Ready to use
CC BY Published
Last modified 27/09/2017 15:33
 No subjects selected
 No topics selected
No ability levels selected

Question Ready to use
CC BY Published
Last modified 27/09/2017 15:33
 No subjects selected
 No topics selected
No ability levels selected

Question Ready to use
CC BY Published
Last modified 27/09/2017 15:33
 No subjects selected
 No topics selected
No ability levels selected

Question Ready to use
CC BY Published
Last modified 27/09/2017 15:33
 No subjects selected
 No topics selected
No ability levels selected

How to enter numbers and algebraic symbols  Getting Started
Entering numbers and algebraic symbols in Numbas.
Question Ready to use
CC BY Published
Last modified 27/09/2017 15:33
 No subjects selected
 No topics selected
No ability levels selected

Integration: Definite Integration
Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$.
Question Needs to be tested
CC BY Published
Last modified 31/08/2017 12:02
 No subjects selected
 No topics selected
No ability levels selected

Double integral  limit is a polynomial
3 Repeated integrals of the form $\int_a^b\;dx\;\int_c^{f(x)}g(x,y)\;dy$ where $g(x,y)$ is a polynomial in $x,\;y$ and $f(x)$ is a degree 0, 1 or 2 polynomial in $x$.
Question Draft
CC BY Published
Last modified 06/07/2017 13:33
 No subjects selected
 No topics selected
No ability levels selected

Resolve a double integral
Calculate a repeated integral of the form $\displaystyle I=\int_0^1\;dx\;\int_0^{x^{m1}}mf(x^m+a)dy$
The $y$ integral is trivial, and the $x$ integral is of the form $g'(x)f'(g(x))$, so it straightforwardly integrates to $f(g(x))$.
Question Draft
CC BY Published
Last modified 06/07/2017 13:33
 No subjects selected
 No topics selected
No ability levels selected