190 results for "into".

Question in Shaheen's workspace
Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.

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

Question in Analytical Methods: LO1  Algebraic
Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

Question in Demos
Customised for the Numbas demo exam
Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.
Video in Show steps.

Question in Howtos
Demonstrates that the marking algorithm for "match text pattern" parts doesn't put quotes around substituted strings any more.

Question in Howtos
A table showing how to substitute raw LaTeX code into question text.
NOTE: You probably don't want to do this! There's usually a more robust way, where you get Numbas to make the expression for you.

Question in HowtosThis question contains a single "match text pattern" part which accepts anything you type into it.

Question in Howtos
Construct a line through two points in a GeoGebra worksheet. Change the line by setting the positions of the two points when the worksheet is embedded into the question.

Question in Content created by Newcastle University
Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.
Inputting the values given into the partial derivatives to see if 0 is obtained is tedious! Could ask for the factorisation of equation 1 as the solution uses this. However there is a problem in asking for the input of the stationary points  order of input and also giving that there is two stationary points.

Question in Content created by Newcastle University
Find the cosine of the angle between two pairs of 3D and 4D vectors.
The calculations and answers are correct, however the Advice should display the interim calculations of the lengths of vectors and their products to say 6dps. At present the student may be mislead into using 2dps at each stage  the instruction at the start of Advice is somewhat confusing.

Question in Content created by Newcastle University
Details on inputting numbers into Numbas.

Question in Content created by Newcastle University
Independent events in probability. Choose whether given three given pairs of events are independent or not.

Question in Content created by Newcastle University
Factorising 5 to 7 digit numbers into a product of prime powers.
Uses the marking algorithms from question 1 of this CBA

Question in Content created by Newcastle University
Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.

Question in Content created by Newcastle University
Calculate definite integrals: $\int_0^\infty\;e^{ax}\,dx$, $\int_1^2\;\frac{1}{x^{b}}\,dx$, $\; \int_0^{\pi}\;\cos\left(\frac{x}{2n}\right)\,dx$

Question in Content created by Newcastle University
Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$

Question in Content created by Newcastle University
Inputting algebraic expressions into Numbas.

Question in Content created by Newcastle University
Details on inputting numbers into Numbas.

Question in Content created by Newcastle University
Factorise $x^2+bx+c$ into 2 distinct linear factors and then find $\displaystyle \int \frac{a}{x^2+bx+c }\;dx$ using partial fractions or otherwise.

Question in Content created by Newcastle University
Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.

Question in Content created by Newcastle University
Transform a second order ODE into 2D nonautonomous and 3D autonomous dynamical systems of ODEs.

Question in Content created by Newcastle University
Transform a second order ODE into 2D nonautonomous and 3D autonomous dynamical systems of ODEs.

Question in Content created by Newcastle University
What is the value of the expression given a choice of n?

Question in Content created by Newcastle University
Solve for $x$: $\displaystyle 2\log_{a}(x+b) \log_{a}(x+c)=d$.
Make sure that your choice is a solution by substituting back into the equation.

Question in Content created by Newcastle University
Exercise using a given uniform distribution $X$, calculating the expectation and variance. Also finding $P(X \le a)$ for a given value $a$.

Question in Content created by Newcastle University
Factorise $\displaystyle{ax ^ 2 + bx + c}$ into linear factors.

Question in Content created by Newcastle University
$f(X)$ and $g(X)$ are polynomials over $\mathbb{Z}_n$.
Find their greatest common divisor (GCD) and enter it as a monic polynomial.
Hence factorize $f(X)$ into irreducible factors.

Question in Transition to university
This question tests the student's ability to identify equivalent fractions through spotting a fraction which is not equivalent amongst a list of otherwise equivalent fractions. It also tests the students ability to convert mixed numbers into their equivalent improper fractions. It then does the reverse and tests their ability to convert an improper fraction into an equivalent mixed number.

Question in Transition to university
Identify wellknown fractional equivalents of decimals. Convert obscure decimals and recurring decimals into fractions.

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