## Related questions with answers

Question

Find the maximum and minimum values of

$x ^ { 2 } + y ^ { 2 }$

subject to the constraint

$x ^ { 2 } - 2 x + y ^ { 2 } - 4 y = 0.$

Solutions

VerifiedSolution A

Solution B

Answered 8 months ago

Step 1

1 of 11At the beginning of the task, we should remind ourselves how we determine the extreme value of the function $f$ with the given constraint function $g$.

Answered 8 months ago

Step 1

1 of 6Restate the instructions:

Maximize $f: \, x^2+y^2$ subject to $g: \, x^2-2x+y^2-4y=0$

Minimize $f: \, x^2+y^2$ subject to $g: \, x^2-2x+y^2-4y=0$

Instructions: Extrema on a circle.

Find the maximum and minimum values of $x^2+y^2$ subject to the constraint $x^2-2x+y^2-4y=0$

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