Ask
your own question, for FREE!
Mathematics
26 Online
A, b, c ,d are real numbers. If a square + b square is less than or equal to 2, and c square + d square is less than or equal to 4, the maximum value of the expression ac+bd is ___________.
Still Need Help?
Join the QuestionCove community and study together with friends!
is that A square or a square
Sorry, refer A=a
Okay I think \(2\sqrt2\) must be the answer \(a^2 + b^2 \le 2\) so I take b=0 for a to be max. and similarly in \(c^2 + d^2 \le 4\) I take d=0 and I get \(2sqrt2\). Even if I split in equal halves I am still getting \(2\sqrt2\)
I am with \(2\sqrt2\).
I did like this. I took a=b=1, c=d=2, so that overall, we may the product maximum, i.e. 4
Still Need Help?
Join the QuestionCove community and study together with friends!
Not possible If \(c=d=2\). Then, \(c^2 +d^2 = 4 +4 = 8 \) which does not satisfy \(c^2 + d^2 \le 4\).
Oh my God, I wrote this answer itself.. Anyways, thanks for ur reply
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
willowjade:
wrote this last night lmk what you think She just wanted to feel pretty. Sure she was called pretty by her parents.
Subshilava:
Does anybody have a college poster board layout I have my material but I cannot f
MaxTon:
I was feeling a bit down so I turned to writing how I felt down and made something out of it.
theydontknowmelly:
What's a good healthy diet for someone who's starting to workout daily ??
janaeDehon:
Which of the following lines best summarizes the story? A. The story details an African vacation from a long time ago, in which Sage's adventures are descri
Subshilava:
I have an issue my mom bought me a 3d cat mold from tj maxx and everytime I fill
ShikuniShigana:
Alright so. I need some art ideas, or Drawing design ideas for this Character im doing, He's Kinda like based off Vita Carnis+Shefki Shin+Death Angel(From Q
gelphielvr:
hello :] I have to make a model for my biology class for either topic "evolution"
56 minutes ago
0 Replies
0 Medals
1 day ago
0 Replies
0 Medals
12 hours ago
19 Replies
7 Medals
1 day ago
31 Replies
9 Medals
1 day ago
5 Replies
3 Medals
2 days ago
17 Replies
4 Medals
1 day ago
17 Replies
2 Medals
2 days ago
15 Replies
2 Medals