Question

4. State and prove the Taylor’s Theorem.

Answer #1

State and prove the Generalised Rolle’s theorem.

State and prove the Chinese Remainder Theorem for the case of
two simultaneous equations.

Prove the Vertical Angle Theorem. Please state why and construct
a proof!

State Euler's Theorem in discreet mathematics.
AND
Prove: If G is a graph in which there exists an Euler circuit,
then every vertex has an even degree.

Prove 4-C Theorem for a planar graph with no 3-cycles.

Prove the Mean Value Theorem using Rolle's Theorem

State Menger’s theorem (edge version) and explain how network
flows may be used to prove them. (See your notes and “messenger
problems” in the book). You only need to state, how would you set
up the network associated to the graph.

Prove the angle subtraction theorem

Prove the mean value theorem

Heine-Borel Theorem.
a. State the Heine-Borel Theorem
b. Assume A ⊆ R and B ⊆ R . Prove using only the definition of
an open set that if A and B are open sets then A∩ B is an open
set.
c. Assume C ⊆ R and D ⊆ R . Prove that if C and D are compact
then C ∪ D is compact. There are two methods: Using the definition
of compact or a proof that uses parts...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 14 minutes ago

asked 33 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago