OPTIMISATION PROBLEMS page 538

There are many problems for which we need to find the maximum or minimum value of a function. We can solve such problems using differential calculus techniques. The solution is often referred to as the optimum solution and the process is called optimisation.

   

   

   

 

   

   

   

 

   EXERCISE  18G    EVALUATION  1.  

       

 

   

     

 

EXERCISE  18G  EVALUATION  2.      

 

CONTINUE ... Sometimes the variable to be optimised is in the form of a single square root function. In these situations it is convenient to square the function and use the fact that if A > 0, the optimum value of A(x) occurs at the same value of x as the optimum value of [A(x)]2 .

   

   

             

EXERCISE  18G  EVALUATION  3.      

 

   

             

   

OPTIMISATION WITH TRIGONOMETRY Page 575

   

   EXERCISE 20B Page 576 EVALUATION  4.