Jeopardy

Notation Probability Calculus

Functions Potpourri

Q $100

Q $200

Q $300

Q $400

Q $500

Q $100 Q $100Q $100 Q $100

Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

Final Jeopardy

$100 Question Notation

UIdentify this set.

$100 Answer from Notation

the Universal setU

Don’t forget to include it on any Venn diagram.

$200 Question from Notation

What does this say?

2| 1

2x x

$200 Answer from Notation

The set of all such

2that 1.

2

x

x

$300 Question from Notation

What does this mean?

A

$300 Answer from Notation

The complement of set A.

The set of all elements not in set A.

$400 Question from Notation

n A

$400 Answer from Notation

•the number of elements in the finite set A

•cardinal number of A

$500 Question from Notation

Identify the following sets:

N, Z, Q, R

$500 Answer from Notation

0,1,2,3,...

0, 1, 2, 3,...

Q the set of rational numbers

R = the set of real numbers

N

$100 Question from Probability

A carton of a dozen eggs contains eight brown eggs. The rest are white. What is the probability that an egg selected at random is white?

$100 Answer Probability

4 112 3

$200 Question from Probability

A coin is tossed and a 6-sided die is rolled. What is P(a head and a number less that 3)?

$200 Answer from Probability

1 2 12 6 6

$300 Question from Probability

Two events, A and B, are independent if and only if what is true?

$300 Answer Probability

and are independent

iff P and P P .

A B

A B A B

$400 Question from Probability

What is the probability that a randomly selected student plays violin? Hint: tree diagram time!

$400 Answer from Probability

$500 Question from Probability

In a class of 40, 34 like bananas, 22 like pineapples and 2 dislike both fruits. If a student is randomly selected what is the

P(likes bananas|likes pineapples)?

Hint: Venn diagram.

$500 Answer from Probability

$100 Question from Calculus

3f x x

Find .dfdx

$100 Answer from Calculus

4

3dfdx x

$200 Question from Calculus

Find the slope of the tangent line to the given curve when a = 1.

22g a a a

$200 Answer from Calculus

4 1

1 4 1 1 5

g a a

g

$300 Question from Calculus

Find the equation of the tangent line to the given curve at the point (-1, -1).

23 2y x x

$300 Answer from Calculus

3 4

1 1

1 1 2

tangent line at -1,-1 :

2

y x

x y

y x b

b b

y x

$400 Question from Calculus

At what value of x does the quadratic function, , have a stationary point? Under what condition is the stationary point a local maximum or a local minimum.

2 , 0f x ax bx c a

$400 Answer from Calculus

20 maximum

0 minimum

ba

a

a

Do you recognize the x-value of the vertex (i.e. axis of symmetry)?

$500 Question from Calculus

$500 Answer from Calculus

$100 Question from Functions

$100 Answer from Functions

$200 Question from Functions

$200 Answer from Functions

207 meters

$300 Question from Functions

2 1f x x State the domain and range of the function.

$300 Answer from Functions

domain: all real numbers

range: 1f x

$400 Question from Functions

$400 Answer from Functions

3603 minutes

120

$500 Question from Functions

                      

$500 Answer from Functions

$100 Question from Potpourri

How many significant digits?

4.8 x 105

$100 Answer from Potpourri

                                

$200 Question from Potpourri

Find the sum of the first 20 terms in the arithmetic series.

3 7 11 15 ...

$200 Answer from Potpourri

820

                                                                 

$300 Question from Potpourri

Negate the statement without using the word ‘not.’

The math class includes more that 10 boys.

$300 Answer from Potpourri

The math class includes at most 10 boys.

$400 Question from Potpourri

Are the following logically equivalent?

Justify your answer with truth tables.

p qq p

$400 Answer from Potpourri

p qT T T F F T

T F F F T F

F T T T F T

F F T T T T

p q p q q p

$500 Question from Potpourri

$500 Answer from Potpourri

Final Jeopardy

Represent the following sets using a Venn diagram:

N, Q, Z, R

Final Jeopardy Answer

NZQ

R