Kuta Software - Infinite Algebra 2
Name_
Angle Sum/Difference Identities
Date_ Period_
Use the angle sum identity to find the exact value of each.
1) cos 105
2) sin 195
3) cos 195
4) cos 165
5) cos 285
6) cos 255
7) sin 105
8) sin 285
9) cos 75
10) sin 25
Kuta Software - Infinite Algebra 2
Name_
Combinations
Date_ Period_
List all possible combinations.
1) T, V, W, taken two at a time
2) A, B, C, D, taken two at a time
3) , , , , taken three at a time
4) 4, 5, 6, 7, taken four at a time
Evaluate each expre
Kuta Software - Infinite Algebra 2
Name_
Writing Equations of Circles
Date_ Period_
Use the information provided to write the standard form equation of each circle.
1) 8 x + x 2 2 y = 64 y 2
2) 137 + 6 y = y 2 x 2 24 x
3) x 2 + y 2 + 14 x 12 y + 4 = 0
4)
1. An expression that is a real number, a variable, or a product of a real number and a variable with Whole~
number exponents is known as M 0 VI Om ‘5 a l r
a. A QOLa (10qu l is a monomial or the sum of monomials. Standard form is
written in descending or
A sequence is an ordered list of numbers, where each number in a sequence is called a term.
Examples:
1. Start with a square with sides 1 unit long. On the right side, add on a square of the same size.
Continue adding one square at a time in this way. Dra
Sophus Lie and the Role of Lie Groups in Mathematics
By Sigurdur Helgason
As Lie group theory has developed it has also become more and more pervasive in its influence
on other mathematical disciplines. The original founder of this theory was a Norwegian,
1
LECTURE 14
AREAS ENCLOSED BY CURVES . and RIEMANN SUMS
the AREA UNDER A CURVE:
Now we begin the study of the so-called INTEGRAL CALCULUS. Whereas we've been studying
DIFFERENTIAL CALCULUS which deals with differentiation . arising from considerations in
The key to my success in Calculus II was composed of three parts. The first part was
sitting in the first few rows of class. I know is sounds silly, but my attention can wander
sometimes and sitting in the front of the class prevented that. The second was
Chemistry 1S
Calculus I
Dr Paul May
4.15C Function of a Function (Chain Rule)
Suppose we want to differentiate (2x - 1)3. We could expand the bracket then
differentiate term-by-term, but this is tedious! We need a more direct method for
expressions of thi
Chemistry 1S
Calculus I
Dr Paul May
3.8 , and d notations for changes
Since well be looking at changes in the values of variables, we need to sort out the
notation to deal with this.
(i)
Large changes: We use the Greek symbol , Delta, to mean a large chan
CALCULUS
1. What is Calculus?
In physical chemistry we try to represent measured quantities of some variable (say,
temperature or pressure) by a function. This allows us to interpolate between the
measured points to find a value for a point not measured,
Thomas Hobbes
Sean D. Sutton
The Life and Times of Thomas
Hobbes
Thomas Hobbes was born on April 5, 1588 near Malmesbury in
Wiltshire, England.
He graduated from Oxford at age 19.
Hobbes was a tutor to the son of the Earl of Devonshire .
He translated Thu
The epic Mahabharata is traditionally ascribed to the Sage Ved Vyasa; the Bhagavad Gita, being
a part of the Mahabharata, is also ascribed to him.[3] Theories on the date of composition of the
Gita vary considerably. Scholars accept dates from fifth centu
Dr Sanjaye Ramgoolam
In collaboration with
J. Bedford
and C. Papageorgakis
STRING THEORY arises
from attempts to answer:
1) What is the world made of?
2) How & Why does the world
change in time?
Answers:
1) MATTER!
E.g. Cars, Houses, Buildings, Planets
Al
Geometry Adv
Name _
Chapters 3 and 4
Date _
Review 3.1-3.15/4.1+4.6
Solve the following problems based on the given information and what you have learned:
1.) Given that pentagon QUEST has coordinates Q (-2, 4), U (-2, 8),
E (1, 9), S (4, 8), and T (4, 4)
Test 2 Review: Solve each of the following based on the given information and what you have learned:
1.) Change the angle measurement to degrees
2.) If the midpoint of a segment is at (3, -1)
and minutes:
and one of its endpoints is at (-1, 4), what
are t
Geometry Adv
Name _
Chapter 1
Date _
Review 1.1-1.3, 1.7-1.8
Name the figures indicated below in all possible ways:
1.) The line shown below:
2.) The angle shown below:
A
F
G
H
2
C
B
D
Perform each of the following conversions involving angle measures:
o
Geometry Advanced Midterm Exam Topics Chapter 1: Introduction to Geometry Know how to label all points, lines, rays, segments, planes, angles, etc. Know how to find the intersection and union of two objects. Know what you can and cannot assume from a diag
Geometry Adv
Name _ Midterm Review Packet
PART 1: Use the diagram below to answer Questions #1-15:
A
D
E
B
F
C
k
1.) How would you correctly label the ray that includes points D and F? 2.) Name any pair of opposite rays. 3.) Are points D, F, and E colline
Geometry Adv
Name _
Chapter 12
Date _
Chapter 12 Review
Solve the following problems based on the given information and what you have learned:
1.) What is the exact volume of a sphere if its surface area is 100 cm2?
2.) If a cone has a volume of 216 ft3 a
Geometry Adv Chapter 11
Name _ Date _ Chapter 11 Review
Solve the following problems based on the given information and what you have learned: 1.) What is the exact area of the trapezoid shown below?
45o 16
10
2.) What is the exact area of the shaded segm
Geometry Adv Chapter 10
Name _ Date _ Chapter 10 Review
Solve the following problems based on the given information and what you have learned: 1.) What is the exact circumference of a circle whose area is 49 square units?
2.) If a circle has a diameter of
Geometry Adv
Name _
Chapter 10
Date _
Chapter 10 Supplemental Review
Solve the following problems based on the given information and what you have learned:
1.) Find the requested information in each of the diagrams below:
suu
r
b.) Given that CD is tangen
Geometry Adv
Name _
Chapter 9
Date _
Chapter 9 Review
Solve each of the following problems based on the given information and what you have learned:
1.) Simplify each of the following expressions completely, rationalizing all denominators:
a.) 5 20 250 +
Geometry Adv
Name _
Chapter 8
Date _
Chapter 8 Review
Solve the following problems based on the given information and what you have learned:
1.) Find both the arithmetic and the geometric means between
2.) If
1
1
and :
8
2
7
5
=
, what is the ratio of x t