100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Math 302 Test 3 Questions And Answers Latest Update $15.99   Add to cart

Exam (elaborations)

Math 302 Test 3 Questions And Answers Latest Update

 1 view  0 purchase

Math 302 Test 3 Questions And Answers Latest Update

Preview 0 out of 0  pages

  • October 24, 2024
  • Unknown
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
All documents for this subject (9)
avatar-seller
Schoolflix
Solution 2024/2025
Pepper

Math 302 Test 3 Questions And Answers Latest
Update

What types of functions are continuous? ANS✔✔ Polynomials; rational
functions at points whose denominator is not zero; functions from (some
subset) of R to R



Projection Function ANS✔✔ A function who takes a set of inputs from R^(n)
and projects them down to R is continuous



A function f: E -> R^(n) is continuous iff ANS✔✔ for all 1<= i <= n we have
project(i) composed of f: e->R is continuous



Continuous functions preserve connectedness ANS✔✔ If f:E->E(hat) is
continuous and E is connected, then f(E) is connected as well. Consequence
is that open balls in R^(n) are connected



What properties are preserved under continuous functions? ANS✔✔ Open
under inverse image, closed under inverse image, connected under image,
compactness



What properties are not preserved under continuous functions ANS✔✔ open
under image; closed under image; boundedness



Extreme Value Theorem ANS✔✔ If f: E -> R is continuous and E is compact,
then there exists p₀∈E so that f(p₀) = lub(f(E)). Likewise, there exists p₀l∈E
such that f(p₀l)=glb(f(E))

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller Schoolflix. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $15.99. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

84866 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$15.99
  • (0)
  Add to cart