Chapter 3: Prove that $f(x_1, x_2) = (|x_1| + 3|x_2|)^2$ is not strictly convex on $\mathbb{R}^2$.
Added by Darryl C.
Close
Step 1
$$ Show more…
Show all steps
Your feedback will help us improve your experience
Vincenzo Zaccaro and 74 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Vincenzo Z.
Consider the following function f(x,y) = |y| a) graph the worse set of the function at the point (1,3) b) graph the better set of the function at the point (1,3) c) Prove that for any generic point (x';y') the worse set is a convex set. Explain why this implies f (x,y) is a quasi convex function. Hint: You will need to use the triangle inequality: |a+b| ≤ |a|+|b|
Adi S.
Mengchun C.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD