MAT 1320 Chapter 1-5: Calculus Stewart - 7E
11 May 2018
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REFERENCE PAGE 1
ALGEBRA
Arithmetic Operations
Exponents and Radicals
Factoring Special Polynomials
Binomial Theorem
where
Quadratic Formula
If , then .
Inequalities and Absolute Value
If and , then .
If , then .
If and , then .
If and , then .
If , then
means or
means
means or
GEOMETRY
Geometric Formulas
Formulas for area A, circumference C, and volume V:
Triangle Circle Sector of Circle
Sphere Cylinder Cone
Distance and Midpoint Formulas
Distance between and :
Midpoint of :
Lines
Slope of line through and :
Point-slope equation of line through with slope m:
Slope-intercept equation of line with slope mand y-intercept b:
Circles
Equation of the circle with center and radius r:
a
b
c
d
苷a
bd
c苷ad
bc
A苷
rsr2h2
共xh兲2共yk兲2苷r2
共h, k兲
y苷mx b
yy1苷m共xx1兲
P1共x1, y1兲
m苷y2y1
x2x1
P2共x2, y2兲P1共x1, y1兲
冉x1x2
2, y1y2
2冊
P1P2
d苷s共x2x1兲2共y2y1兲2
P2共x2, y2兲P1共x1, y1兲
h
r
r
h
r
A苷4
r2
V苷1
3
r2hV 苷
r2hV 苷4
3
r3
r
r
rs
¨
¨
ah
b
s苷r
共
in radians兲C苷2
r苷1
2ab sin
A苷1
2r2
A苷
r2
A苷1
2bh
xax a
ⱍ
x
ⱍ
a
axa
ⱍ
x
ⱍ
a
x苷ax 苷a
ⱍ
x
ⱍ
苷a
a0
ca cbc0ab
ca cbc0ab
acbca b
acb ca b
x苷bsb24ac
2a
ax2bx c苷0
冉n
k冊苷n共n1兲共nk1兲
1ⴢ2ⴢ3ⴢⴢk
冉n
k冊xnkyknxyn1yn
共xy兲n苷xnnxn1yn共n1兲
2 xn2y2
共xy兲3苷x33x2y3xy2y3
共xy兲3苷x33x2y3xy2y3
共xy兲2苷x22xy y2
共xy兲2苷x22xy y2
x3y3苷共xy兲共x2xy y2兲
x3y3苷共xy兲共x2xy y2兲
x2y2苷共xy兲共xy兲
n
冑x
y苷s
nx
s
ny
s
nxy 苷s
nxs
ny
xm兾n苷s
nxm苷
(
s
nx
)
m
x1兾n苷s
nx
冉x
y冊n
苷xn
yn
共xy兲n苷xnyn
xn苷1
xn
共xm兲n苷xmn
xm
xn苷xmn
xmxn苷xmn
ac
b苷a
bc
b
a
bc
d苷ad bc
bd
a共bc兲苷ab ac
Cut here and keep for reference
Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
http://www.meetyourbrain.com - Ask/Answer Questions. Homework Help.
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MAT 1320 Full Course Notes
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