MATH ANALYSIS
5/26/2006~
Elementary Probability
S
A single die is roiled one or more times. Find each probability.
1. P(odd number) I/~,
2. P(2 followed by a 3)
3. P(2 or a 3) ~/3
4. P(even or 2) /2-
5. P(two even numbers in a row) ~/~
6. P(three straight
SUMMER ASSIGNMENT
1)
Find all intercepts for: y = x2 ~
Check for symmetry w,r.t, each axis and the origin:
a) y = xa - 2 b) y2 = x~ _ 4x
c)
x
Y= x2+1
3)
Graph: identify intercepts and test for symmetry:
a) y = x 25~/~- x2
b) x~ + 4y2 = 4
4)
Write and equa
Honors Math Analysis
AN I~ITRODUCTION TO PROBABILITY
PROBABILITY WITH COMBINATIONS
HOMEWORK
1)
Find the probability of throwing a three witha Si.ngle die.
Find the probability of throwing a total of two with a pair of die.
Find the probability of throwing
April 16, 2009
42 points
CALCULUS QUIZ
1. The First Fundamental Theorem of Calculus states that
where F(x) s the anti-derivative of f(x).
2. Express the limit as a definite integral hm
+4 Ax~ over the interval [3,8].
(2)
3. Set up a definite integral that
~.lWorksheet
I.
Find each integral
+4x4-2X~+13x-1 -
-" I(3x6_9x4+5xZ+7_4)dx
11) f (tana x + 5)a = ff~-~ ~Y~ 12) f (2x + 3)(4x - a)a
II.
Solve each differential equation
3) f(x) = ~22 +4 and f(2) = 10
~Xg
.l
Z
2.4
HOMEWORK
Find the derivative for each of the functions.
2)
3)
h(x) = tan (4xz- 7)
5)
y=2secTx11
II.
.G~= ~40X7
y =- 4 cot (3 + 8x)
6) g(x) = csc (9x~- 4x)
Find the derivative fer each ef the functiens.
1) y = ,gin7
2x~
2) f(x) : 10 cosz 3x
MPH 12/lb
1
Name.
WORKSHEET- Binomial Probability
Formula for getting k successes:
Equivalent TI - 83 function:
Summation function:
Use the formula for each of these. You may check your answer with binompdf.
!. You take one card from each of four decks of cards.
a) F
Finding Domain ,
For each Funcfion belomwrife fhe domain using inferval nofafion.
1. F(x) =\/x+4 , 2. f(x)=\116x2
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(Dr KM £490 V
Funcrion?
1:1?: N 0
Domain: M
Range: (5 00 / 00) Evaluare rhe given funcrions using rhefol