perplexus.info :: Calculus : Maximum Value

Maximum Value (Posted on 2002-06-19)

We have :

      x^2+xy+y^2=3 and
      y^2+yz+z^2=16
      A=xy+yz+zx

Find the maximum value of A. Find x, y and z when A=max value.

(Remember the category)

See The Solution Submitted by vohonam

Rating: 3.2857 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Oooo... Getting schmancy, are we?

| Comment 4 of 19 |

(In reply to Oooo... Getting schmancy, are we? by friedlinguini)

D'oh! Just realized that the gradients didn't come out. I guess the angle brackets got parsed as HTML tags. Anyway, what I MEANT was:

grad[g1(p)] = {2x + y, x + 2y, 0}
grad[g2(p)] = {0, 2y + z, y + 2z}
grad[f(p)] = {y + z, x + z, x + y}

Posted by friedlinguini on 2002-06-19 06:59:47

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