Partial differentiation question with customised feedback to catch some common errors.

Partial differentiation question with customised feedback to catch some common errors.

Partial differentiation question with customised feedback to catch some common errors.

Partial differentiation question with customised feedback to catch some common errors.

Differentiation questions (mostly partial differentiation) with customised feedback, with the intention of catching common errors.

A group (chosen randomly, the groups with 6 and those 8 elements are available) is given by its multiplication table. The task is to check whether the group is commutative, to identify all elements of order $\le 2$, and to find a subgroup which has half as many elements as the given group.

(In German.)

Given three vectors with integer components, find the corresponding magnitude and direction.

No description given

Kruskal-Wallis test with ties.

Solve for $x$: $\displaystyle \frac{px+s}{ax+b} = \frac{qx+t}{cx+d}$ with $pc=qa$.

German translation of https://numbas.mathcentre.ac.uk/question/12012/solve-an-equation-in-algebraic-fractions/ by Newcastle University Mathematics and Statistics

Solve two quadratic equations (with real coefficients) in the complex numbers. The solutions have non-zero imaginary part, fractions can appear (but the denominators are rather small).

resultant force

resultant force

Resultant force

Resultant force

Resultant vector

Resultant force

Resultant force

Solve two quadratic equations (with real coefficients) in the complex numbers. The solutions have non-zero imaginary part, fractions can appear (but the denominators are rather small).

A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.

Student is given a set of constraints for a linear program. Asked to enter the constraints as inequalities, and then to identify the optimal solution.

Problem with solving the simultaneous equations gven by the constraints - too unwieldy and not given enough marks for doing so. Best if the point of intersection is given graphically by putting the mouse over the intersection.

Find a regression equation given 12 months data on temperature and sales of a drink. Includes an interactive diagram for experimenting with fitting a regression line.

Given a population size and data on a test for a condition on that population, use a tabular approach to find the increase in risk after a positive test in which there is a small chance of a false positive i.e. the probability that the test is positive even though  the condition is not present. See Advice for a graphical version.

Find a regression equation given 12 months data on temperature and sales of a drink. Includes an interactive diagram for experimenting with fitting a regression line.

This question uses the GeoGebra extension so it can ask the student to create an equilateral triangle. It doesn't matter how they do it, as long as they end up with a polygon with three vertices whose sides are all the same length.

Student is shown a linear programming problem, with graphical solution. 

Asked to identify binding constraints, and decide if the optimal solution is changed by a named constraint either doubling or halving.

This question uses the GeoGebra extension so it can ask the student to create an equilateral triangle. It doesn't matter how they do it, as long as they end up with a polygon with three vertices whose sides are all the same length.

Find a regression equation given 12 months data on temperature and sales of a drink. Includes an interactive diagram for experimenting with fitting a regression line.

rebelmaths