Find the points on the graph of the

cristinamahumas

cristinamahumas

Answered question

2022-01-14

Find the points on the graph of the function that are closest to the given point y=x^2, (0,3)

Answer & Explanation

Vasquez

Vasquez

Expert2022-02-06Added 669 answers

Let the point is (x,y)

Distance, d2=x2+(y3)2

d2=x2+(x23)2

f(x)=x2+(x23)2

f(x)=2x+4x(x23)

f(x)=0

2x+4x(x23)=0

x=0,x=52,x=52

y=x2

so y=0,y=52,y=52

Points are (52,52),(0,0),(52,52)

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