MoonlitFate
  • MoonlitFate
Determine the value of c so that f(x) is continuous on the entire real line if: f(x) = {x^2 for x< or = 3; c/x for x >3}
Calculus1
chestercat
  • chestercat
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
this is much easier than you think
anonymous
  • anonymous
replace \(x\) by \(3\) in the first expression, get \(3^2=9\) then set \(\frac{c}{3}=9\) and solve for \(c\)
anonymous
  • anonymous
then they will agree when \(x=3\) and so it will be continuous

Looking for something else?

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

More answers

MoonlitFate
  • MoonlitFate
Wow. :( Math always seems so much harder than you think.
anonymous
  • anonymous
yeah, but once you know it it gets much easier think about when you were learning to add fractions (which is harder than this!)

Looking for something else?

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