Mathematical Modelling; Modelling Cycle
Consider the following situation: {see attachment} Develop a mathematical model which describes the contractors profit from the days work [a very simple model will do]. Then show how, using the modelling cycle, this model might be revised into a sequence of successively more sophisticated mathematical models, which show how the ...continues
A large corporation with offices filling a 40 storey building is concerned to minimise the waiting and travel times of its employees when using the lifts, which are regularly perceived as too long at certain times of the day. It is powerless to alter the number of lifts in service;instead it seeks to model the pattern of the use ...continues
Instabilities past exam paper - A1
QA1. I have attempted the attatched practice paper and would like the workings and solutions to check my work. A thin layer of water thickness d=0.5cm is heated from below. The bottom of the layer is held at temperature... Please see attached.
A2. The population of birds on an island is described by the following model... Please see attached for full question.
Consider an infinite layer of fluid held between two planes z=0 and z=δ such that the temperature of the bottom boundary is... Please see attached for full question.
Modelling the volume of a container/differentiation.
Question 1 A bucket-shaped container has a circular base of radius 10 cm, and its slant height is 30 cm. the radius of the open circular top of the container is 10x cm. the curved surface of the container is modeled by part of a cone, as shown below. Please see attached.
Hi, I think I have managed to do parts (a) and (b) successfully (but could do with a confidence check!) but had a problem with part (c): I cannot figure out where the my: comes from on the RHS of the equation. I am taking the x origin from the top of the device and pointing downwards, which I am unsure is correct since ...continues
Direction and Magnitudes of Support Reactions; Load and Nature of Load of Canopy
I need a worked solution for these questions (also attached on the LAST PAGE of the attachement. The first couple pages are just examples. Thanks) Given the attached info, please determine: a) the direction sof the support reactions by locating the point ... b) the magnitudes of the reactions and the load in each memb ...continues
Please help with this damping and resonance problem...I have been working on it for several days but to no avail. Thank you
Please see the attached file the Modelling and Simulation
