# Portfolio Duties 2011 2012

• By using a spreadsheet, or perhaps geometric application, simulate the positions of the two athletes for a various values with the speeds u and sixth is v, the time to and the distance d. • Using the info generated above, discuss the condition(s) necessary for Buddy to catch up with Angie. Again, incorporate estimates for: o the time at which Pal catches plan Angie. um the distance travelled by every single runner once Buddy attracts up. • Discuss the assumptions inside the above style. What limitations does it have when ever applied to different situations?

To get final assessment in 2011 and 2012

–8–

MATHL/PF/M11/N11/M12/N12

MODELLING A FUNCTIONAL BUILDING

HL TYPE II

To the student: The work that you generate to address the questions from this task could be a report that can stand on its own. It is best to prevent copying the questions in the task to look at a " question and answer” file format. As an architect you have been caught to design a building which has a roof framework similar to the one particular shown listed below.

In this process you are to model this kind of a building and create a report to the contractor using necessary specs.

(This process continues for the following page)

For final assessment this year and 2012

–9–

MATHL/PF/M11/N11/M12/N12

You are to design the workplace block in an exceedingly structure while using following technical specs: The building provides a rectangular bottom 150 m long and 72 m wide. The ideal height from the structure must not exceed 75 % of its breadth for stability or end up being less than half the width for aesthetic functions. The minimum height of your room within a public building is installment payments on your 5 m. • Build a model pertaining to the curled roof composition when the level is thirty eight m. • Find the dimensions from the cuboid with maximum volume level which might fit inside this roof structure. • Use technology to investigate how changes to the peak of the structure affect the sizes of the greatest possible cuboid. • For every single height, estimate the ratio of the volume of the wasted space towards the volume of work block....