Can someone please help me set up this problem? Find the larger of two numbers whose sum is 30 for which the sum of their squares is a minimum.
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Let the first number and the second number . Then and . Do you undestand?
Originally Posted by abclarinetuvwxyz Can someone please help me set up this problem? Find the larger of two numbers whose sum is 30 for which the sum of their squares is a minimum. Denote these two numbers to be and . #1: Their sum must be 30, so: , or #2: And you want to minimize: Given #1 as a constraint, #2 becomes: . Differentiate this expression, set it equal to zero (to minimize), and find
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