A enemy jet is fying along the curve y=x^2+2 A soldier is satndind at the point (3,2) . The shortest distance between the soldier and the jet is

Answers (1)

Solution:  Any point lying on the curve  is  (x,x^2+2).

                 	herefore      d=sqrt(x-3)^2+x^4

               Put        u =d^2=x^4+x^2-6x+9

                      fracmathrmd umathrmd x=0     gives    x=1.

              Moreover ,    (fracmathrmd^2u mathrmd x^2)x=1> 0    	herefore d=sqrt5

 

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