402 results for "calculate".

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• Question

Numbas representation of the Metacentric Height fluid mechanics laboratory for first year Engineering students.

Students should answer this question after completing the laboratory and the associated Excel template, including the relevant plots.

The first question tests their capacity to correctly calculate metacentric heights, the remaining questions evaluate their graph interpretation skills.

• Question

Calculate the time taken for a certain distance to be travelled given the average speed and the distance travelled.

Small, simple question.

• Question

Calculate reactions and shear and bending moment at a point for an overhanging beam with a constant or uniformly varying distributed load.

• Question

A function of the form (ax+b)/(x+c) is plotted. Student is asked to calculate the shaded area. Area is both above and below the x-axis.

• Question
From a given utility function we calculate the corresponding demand functions for two products
• Question
You need to calculate elasticities of demand associated to a Stone-Geary utility function.
• Question

Calculate the marginal and average cost for a given cost function. Find the corresponding startup/shutdown price.
Maximize the profit function at a given price.

• Question

Calculate the moment of inertia of a composite shape consiting of two rectangles about the x or y-axis.  Parallel axis theorem is often required.

• Question

Calculate the centroidal moment of intertia of a rectangle with a excentric rectangular hole.

• Question

Calculate the moment of a force about three points using the definition of a Moment.  All forces and points are in the same plane.

• Question

Calculate the moment of a force about three points using Verignon' theorem.  All forces and points are in the same plane.

• Question

Given a table of data, calculate the mean, mode and median, and complete a frequency table.

• Question in Demos

Given the gradient of a slope and the coefficient of friction for a mass resting on it, use the equations of motion to calculate how it moves.

Includes a GeoGebra rendering of the model.

• Question

Calculate a rate of pay (in pounds per week) given the total pay over a given period of time.

• Question

Given  $P(A)$, $P(A\cup B)$, $P(B^c)$ find $P(A \cap B)$, $P(A^c \cap B^c)$, $P(A^c \cup B^c)$ etc..

• Energy- PIAB
Question
Question requires students to themselves calculate how many electrons are in the conjugated system for the molecules included in this question. As is standard for applications of the "particle in a box" model, the embedded assumption is that one electron is donated to the pi-system by each carbon within the conjugated chain. Students instructed to assume that there are 22 conjugated electrons in Beta-carotene.
• Question
The reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
• Question
The reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
• Question
The reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
• Question
The reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
• Question
The reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
• Question
The reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
• Question

Question is to calculate the area bounded by a cubic and the $x$-axis. Requires finding the roots by solving a cubic equation. Calculator question

• Question in Stats

Calculate the Pearson correlation coefficient and conduct a hypothesis test.

• Exam (3 questions)

Apply formulas to calculate the areas of various shapes.

• Question

Graphs are given with areas underneath them shaded. The student is asked to select the correct integral which calculates its area.

• Z-score and percentile
Question in Stats

Calculate the z-score and percentile of an observation.

• Question
Calculate d2y/dx2 for a curve defined parametrically
• Question
Calculate dy/dx for a curve defined parametrically
• Question

Use the specific heat capacity of an object and the heat released to calculate the final temperature.

Custom marking used to allow for partial credit for common errors (mal rules)

Thermochemistry Revision Sheet Q7