Science:Math Exam Resources/Courses/MATH103/April 2006/Question 01 (d)

From UBC Wiki
Jump to: navigation, search


MATH103 April 2006
Men at work sign.gif


Work in progress: this question page is incomplete, there might be mistakes in the material you are seeing here.


  •  Q1 (a)  •  Q1 (b)  •  Q1 (c)  •  Q1 (d)  •  Q1 (e)  •  Q1 (f)  •  Q2 (a)  •  Q2 (b)  •  Q2 (c)  •  Q2 (d)  •  Q2 (e)  •  Q3 (a)  •  Q3 (b)  •  Q3 (c)  •  Q3 (d)  •  Q4  •  Q5 (a)  •  Q5 (b)  •  Q5 (c)  •  Q6 (a)  •  Q6 (b)  •  Q6 (c)  •  Q7 (a)  •  Q7 (b)  •  Q7 (c)  •  

   Other MATH103 Exams
  •  April 2017  •  April 2016  •  April 2015  •  April 2014  •  April 2013  •  April 2012  •  April 2011  •  April 2010  •  April 2009  •  April 2006  •  April 2005  •  

Question 01 (d)

The concentration of a protein in a long, thin cylindrically shaped bacterium is given by the function where c is measured in mol/μm along the long axis of the cell and is measured in μm. Suppose that when the cell divides, it splits at μm and that all protein to the left of this point ends up in the left daughter cell and any to the right ends up in the right daughter cell. Determine which of the following statements is necessarily true:

i. If the centre of mass of the protein density is to the left of the median of the density, then the cell on the right gets more than half of the total protein.

ii. If the centre of mass of the protein density is at μm, then the cell on the left gets more than half of the total protein in the mother cell.

iii. If the median of the protein density is at μm, then the cell on the left gets more than half of the total protein in the mother cell.

iv. If the mean and median are at the same point, both cells get the same amount of protein.

Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you?

If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!


Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

  • If you are stuck on a problem: Read the solution slowly and as soon as you feel you could finish the problem on your own, hide it and work on the problem. Come back later to the solution if you are stuck or if you want to check your work.
  • If you want to check your work: Don't only focus on the answer, problems are mostly marked for the work you do, make sure you understand all the steps that were required to complete the problem and see if you made mistakes or forgot some aspects. Your goal is to check that your mental process was correct, not only the result.




Click here for similar questions
MER CH flag, MER CS flag, MER QGQ flag, MER QGT flag, MER Tag Center of mass
lightbulb image
Math Learning Centre
  • A space to study math together.
  • Free math graduate and undergraduate TA support.
  • Mon - Fri: 11 am - 5 pm, LSK 301&302.

Private tutor