Alek’s Study Guide (2022/2023) Already Passed
Set builder/interval notation -if x>4 (4,∞), no bracket because there is no line under the > sign
Equations the volume of a cone: 1/3bh (b(πr^2) the volume of a cylinder v=πr²h area of circle πr² area of triangle 1/2bh SA of a cylinder ...
Set builder/interval notation
-if x>4
(4,∞), no bracket because there is no line under the > sign
Equations
the volume of a cone: 1/3bh (b(πr^2)
the volume of a cylinder v=πr²h
area of circle πr²
area of triangle 1/2bh
SA of a cylinder πr^2+πr^2+2πrh
-csc=1/sin
-sec=1/cos
-cot=1/tan
Square Root Multiplication
2√96x √24
2x4√6x2√6
16√36
16(6)
Writing Equation of lines given y -intercept and another point
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find slope by doing y2 -y1/x2 -x1
Evaluating Functions: rational and radical
plug in number given into e quation
Graphing a parabola
plug in points
Solving equations with zero, one or infinite solutions
set the equations equal to each other
x= one solution
4=6 no solution
4=4 infinite solutions
Vertical Line Test
if there is a hole and a solid hole on top of each other it does past vertical line test
Complex Fractions without variables
-if you have two fractions on top of each other
x/y÷g/p
x/y × p/g
Union and Intersection of finite sets
Intersection ∩
Union U
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an intersection has to be a member of both groups
a union has to be a member of either group
Graphing a cubic function
-y=ax³
-(x,y) or ( -x,-y)
Volume of a Cylinder
v=πr²h
- volume is to the ³
Sketching an angle in Standard Position
if it is positive it goes clockwise
if it is negative it goes counterclockwise
1/4 revolution would be 2π x 1/4=π/2
-if it is -5π/6 use the opposite side so it would be 7π/6
solving the absolute value in form |ax+b|=c
rules: if c≥0 than a=c or a= -c
if c<0 than |A|=b has no solution
ex. |2u -10|=4
4≥0
2u-10=4 or 2u -10=-4
|2u+4|= -10 Powered by TCPDF (www.tcpdf.org)
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