Science:Math Exam Resources/Courses/MATH102/December 2019/Question 05 (c)
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Question 05 (c) 

For this question, let
You may use the following facts without proving them: (c) Note is a Hill function. What value of gives the halfmaximal activation level? 
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! 
Hint 

Use the definition of halfmax of a Hill function. Note that the current problem asks for the value of that gives the halfmax. 
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.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Recall that the template for a Hill function is . The halfmaximal activation level is obtained when . In our case here, the halfmax is reached at . 