Calculus: How do I know which theorems I am using?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
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.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Not the answer you are looking for? Search for more explanations.
Is there a theorem that says the square root or cube root function is continuous?
I am not sure...but it might be the composite theorems. Also, ignore the titles at the tops of the yellow boxes. (Theorem 6, Theorem 7, etc.) they are only there for organization. All of the theorems I have provided are for continuous functions.
For 31) I can imagine saying this:
f(x) = x is continuous (we need a reason)
f1(x) = x+2 is continuous : Let g(x)=2 f(x)+g(x) is continuous by Thm 6, part 1
f2(x) = sqr(x+2) is continuous (we need a reason, composite function ?)
f3(x) = 1/sqr(x+2) is continuous. Let g(x)=1. then g(x)/f2(x) is continuous Thm 6, 5 for x>-2
That is my best guess as to how to do this
That happens to be the answer. I think I'm understanding this now. :)