anonymous
  • anonymous
Find an equation of the plane trangent to the hyperboloid \[2x^2-3y^2+z^2=7\] at the point (3,2,1).
Mathematics
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
try visiting this url it might be able to explain this concept better than i can: http://math.etsu.edu/multicalc/archives/Chap3/Chap3-6/index.htm
anonymous
  • anonymous
did that help?
anonymous
  • anonymous
First you need to find the unit vector. You know how to find it?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
yeah, I think I figured it out. Grad F(x,y,x)
anonymous
  • anonymous
so would it be. \[6(x-3) -6(y - 2) +(z-1) =0\] ?
anonymous
  • anonymous
You are right that's the equation for a plane passing through that point
anonymous
  • anonymous
yes
anonymous
  • anonymous
Sames right 6x-6y+z=9
anonymous
  • anonymous
actually that doesnt look right
anonymous
  • anonymous
The 9 should be 7
anonymous
  • anonymous
i got the same thing as lockdown but maybe i am wrong, i do know that you should most likely condense your answer
anonymous
  • anonymous
yeah, I condensed it. I got 12x - 12y + 2z - 14 = 0 originally, but divided by 2
anonymous
  • anonymous
Actually yeah
anonymous
  • anonymous
meaning combine constants on the other side of the equation
anonymous
  • anonymous
Here is a neat trick, Lockdown, rather than writing out the equation formula. Once you get your vector <6, -6, 1> Write it as an eq 6x-6y+1= The other side can be determined in your head by the points (6*3=18) -12 + 1=7
anonymous
  • anonymous
you know that trick is actually helpful to me too, thanks chaguanas
anonymous
  • anonymous
Yeah, the equation is taught in schools, mathematicians don't do it the eq way
anonymous
  • anonymous
yeah, thats a good way of thinking about it, since they always want simplified anyways.

Looking for something else?

Not the answer you are looking for? Search for more explanations.