A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
find two numbers a and b (with a≤b) whose difference is 38 and whose product is minimized
 2 years ago
find two numbers a and b (with a≤b) whose difference is 38 and whose product is minimized

This Question is Closed

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1if one number is \(x\) and the other is \(y\) then their difference is \(xy=38\) making \(y=x38\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1you want to minimize the product \[x(x38)=x^238x\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1minimum will be at the vertex \(\frac{b}{2a}=\frac{38}{2}=19\)

carson889
 2 years ago
Best ResponseYou've already chosen the best response.0Or it can be found by finding the critical point. That is, where the derivative of the above found product is equal to zero. So the derivative of \[x ^{2} 38x\] is \[2x  38\], set it equal to zero and solve for x, x = 19.

monroe17
 2 years ago
Best ResponseYou've already chosen the best response.0got it! 19 and 19 (: thanks!
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.