3110 Quiz 1
Name
:
DrSarah Greenwald
Start Time:
Apr 03, 2000 13:11
Time Allowed:
14 min
Number of Questions:
4
Question 1 (10 points)
Is x^5-2x^3-8x-2 solvable by radicals?
1.
yes
2.
no
3.
sometimes, but not always
Question 2 (10 points)
Match the mathematician with their math
1. Sophie Germain
a. Proved the Epsilon Conjecture which says that Taniyama-Shimura implies Fermat's Last Theorem
2. Andrew Wiles
b. Worked on the solution of a quintic by radicals
3. Niels Abel
c. Proved Fermat's Last Theorem by proving Taniyama-Shimura
4. Ken Ribet
d. First mathematician to examine a general approach (for all powers) for Fermat's Last Theorem
5. Lodovico Ferrari
e. Worked on the solution of a quartic by radicals
1
-->
Choose Match
a
b
c
d
e
2
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Choose Match
a
b
c
d
e
3
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Choose Match
a
b
c
d
e
4
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Choose Match
a
b
c
d
e
5
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Choose Match
a
b
c
d
e
Question 3 (10 points)
Match the the following definitions
1. f is a function if for all x, there exists y s.t. f(x)=y, and
a. for all y, there exists x s.t. f(x)=y
2. f is one-to-one if
b. for all x1 and x2, x1=x2 --->f(x1)=f(x2)
3. f is onto if
c. for all x1 and x2, f(x1)=f(x2)--->x1=x2
1
-->
Choose Match
a
b
c
2
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Choose Match
a
b
c
3
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Choose Match
a
b
c
Question 4 (10 points)
What is the negation of f is continuous at xo ---> (For all E>0, there exists D>0 s.t. |x-xo|<D ---> |f(x)-f(xo)|<E for all x)?
1.
f is continuous at xo and (For all E>0 there exists D>0 s.t. |x-xo|<D and |f(x)-f(xo)|>E for all x)
2.
f is continuous at xo and (There exists E>0 s.t. for all D>0, there exists x s.t. |x-xo|<D and |f(x)-f(xo)|>E)
3.
f is continuous at xo and (There exists E>0 s.t. for all D>0, there exists x s.t. |x-xo|>D and |f(x)-f(xo)|>E)
4.
f is continuous at xo ---> (There exists E>0 s.t. for all D>0, there exists x s.t. |x-xo|<D ---> |f(x)-f(xo)|>E)
5.
f is continuous at xo ---> (For all E<0, there exits D<0 s.t. |x-xo|<D ---> |f(x)-f(xo)|>E for all x)