College Algebra [4 ed.] 0534405991, 9780534405991, 0534406211, 9780534406219, 0534406068, 9780534406066, 0534407005, 9780534407001

176 63 17MB

English Pages 817 Year 2004

Recommend Papers

College Algebra [4 ed.] 0534405991, 9780534405991

James Stewart, author of the worldwide, best-selling Calculus texts, along with two of his former Ph.D. students, Lothar

505 29 16MB Read more

College Algebra

935 39 1MB Read more

College Algebra [7 ed.] 1305115546, 9781305115545

Learn to think mathematically and develop genuine problem-solving skills with COLLEGE ALGEBRA, Seventh Edition. This str

507 101 61MB Read more

College Algebra [7 ed.] 1305115546, 9781305115545

Learn to think mathematically and develop genuine problem-solving skills with COLLEGE ALGEBRA, Seventh Edition. This str

371 53 52MB Read more

College Algebra [10 ed.] 1337282294, 9781337282291

Larson's COLLEGE ALGEBRA is known for its reliable, reader-friendly explanations of mathematical concepts and helpf

104 14 37MB Read more

College Algebra [6 ed.] 0321916603, 9780321916600

With an emphasis on problem solving and critical thinking, Mark Dugopolski’s College Algebra, Sixth Edition gives studen

110 9 79MB Read more

College Algebra [11 ed.] 035745409X, 9780357454091

Larson's COLLEGE ALGEBRA is known for its reliable, reader-friendly explanations of mathematical concepts and helpf

122 108 108MB Read more

College Algebra [5 ed.] 0495565210, 9780495565215

Learn to think mathematically and develop genuine problem-solving skills with Stewart, Redlin, and Watson's COLLEGE

391 156 12MB Read more

College Algebra [11 ed.] 9781111990909, 1111990905

129 108 19MB Read more

College Algebra: Concepts and Contexts 9780495387893, 0495387894

730 32 10MB Read more

College Algebra [4 ed.]
0534405991, 9780534405991, 0534406211, 9780534406219, 0534406068, 9780534406066, 0534407005, 9780534407001

Author / Uploaded
James Stewart
Lothar Redlin
Saleem Watson

Similar Topics
Mathematics
Algebra

0 0 0
Like this paper and download? You can publish your own PDF file online for free in a few minutes! Sign Up

File loading please wait...

Citation preview

EXPONENTS AND RADICALS

DISTANCE AND MIDPOINT FORMULAS

am amn an 1 an n a n an a n b b

aman amn ÓamÔn amn

Distance between P1Ó x 1, y 1Ô and P2Ó x 2, y 2Ô: 2 2 y d œÓ x x Ó y 2 1Ô 2 1Ô

Midpoint of P1 P2:

!@

ÓabÔn anbn a1n œn a

!œn a @ a mn œn am

2

1

2

m

œa a b œn b

n

1

LINES

n

œn b œn ab œn a

x x y y , @ ! 2 2

œm œn a œn œm a mœn a SPECIAL PRODUCTS ÓA BÔ2 A2 2AB B2

y2 y1 m x2 x1

Slope of line through P1Óx 1, y 1Ô and P2Óx 2, y 2Ô Point-slope equation of line through P1Óx 1, y 1Ô with slope m

y y 1 mÓ x x 1Ô

Slope-intercept equation of line with slope m and y-intercept b

y mx b x y 1 a b

Two-intercept equation of line with x-intercept a and y-intercept b

ÓA BÔ2 A2 2AB B2 ÓA BÔ3 A3 3A2B 3AB2 B3

The lines y m1 x b1 and y m 2 x b 2 are

ÓA BÔ3 A3 3A2B 3AB2 B3 FACTORING FORMULAS A2 B 2 ÓA BÔÓA BÔ

Parallel if the slopes are the same

m1 m2

Perpendicular if the slopes are negative reciprocals

m1 1m2

A2 2AB B2 ÓA BÔ2

LOGARITHMS

A2 2AB B2 ÓA BÔ2

y loga x

means a y x

A3 B 3 ÓA BÔÓA2 AB B2Ô

loga a x x

aloga x x

A B ÓA BÔÓA AB B Ô

loga 1 0

loga a 1

3

3

2

2

QUADRATIC FORMULA

Common and Natural Logarithms ln x loge x

log x log10 x

If ax 2 bx c 0, then a b œ b 2 4 c x 2a INEQUALITIES AND ABSOLUTE VALUE If a b and b c, then a c.

Laws of Logarithms loga AB loga A loga B A loga loga A loga B B

! @

loga AC C loga A

If a b, then a c b c. If a b and c 0, then ca cb.

Change of Base Formula

If a b and c 0, then ca cb.

loga x logb x loga b

If a 0, then x a

means x a

x a

means a x a.

x a

means x a

or

or

x a. x a.

SOME FUNCTIONS AND THEIR GRAPHS

y

y

y

fÓxÔ mx b

Linear functions

fÓxÔ ax

Exponential functions

Ï=a˛ a>1

y

Ï=a˛ 0