The function f(x)=4x-x² has an absolute maximum value M.
The curve y=4x-x², the y-axis, and the line y=c (where 0 < c < M) enclose two regions.
Find the value of c for which the areas of these two regions are equal.

Note: you must give your answer and explain how you found it. Answers without reasons will receive 0 points.

Solutions will be accepted till 5 PM Monday, November 28. You can give your solution either to Dominique Banner or to Maria Nogin (PB 341; slip your paper under the door if no one is in).

Please write on your paper:

• your name
• e-mail address
• date and time of submission

Questions? Email Dominique Banner at dbanner@csufresno.edu