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February 4th, 2014, 06:04 AM  #1 
Senior Member Joined: Sep 2013 From: Earth Posts: 827 Thanks: 36  Graph of function.
How to do part c?

February 4th, 2014, 07:48 AM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Graph of function.
You are told that "the area of the shaded region is " and asked to (i) "find the value of x given that the area of the shaded region is 52 sq cm" and (ii) "given that the area of the shaded region is 1.4". So you want to solve the equations and . Subtracting 52 from both sides of the first equation you get and then divide by 2 to get . Solve that quadratic equation. The second equation is equivalent to . Solve by completing the square or by the quadratic formula. 
February 4th, 2014, 07:58 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,652 Thanks: 2085 
(c)(i) It would seem you are supposed to solve 2x˛  12x + 48 = 52. However, it appears from the diagram that the shaded area cannot exceed 48 cm˛. (c)(ii) You should be able to evaluate (2x˛  12x + 4 cm˛ for x = 1.4. 

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