Studdy AI Logo
Math  /  Calculus

Question3. [-/2 Points]
DETAILS MY NOTES
MARSVECTORCALC6 3.4.012. PRACTICE ANOTHER
Use the method of Lagrange multipliers to find the absolute maximum and minimum values of f(x,y)=x2+y2−x−y+5f(x, y)=x^{2}+y^{2}-x-y+5 on the unit disc, namely, D={(x,y)∣x2+y2≤1}D=\left\{(x, y) \mid x^{2}+y^{2} \leq 1\right\}. maximum □\square □\square minimum
Additional Materials eBook

Studdy Solution
Compare the values to determine the absolute maximum and minimum:
- The maximum value is 6+2 6 + \sqrt{2} . - The minimum value is 5 5 .
The absolute maximum value is 6+2 \boxed{6 + \sqrt{2}} and the absolute minimum value is 5 \boxed{5} .

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord