Calculus - Derivatives Worksheet Name
1.) State the definition of the derivative of a function f at the number a .
' 2.) Use the denition in number 1 to nd the derivative of f (x) = x3 + 2.
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Table of Integrals
Substitution Rule
L
La
Integration by Parts
f 1g1x22g1x2 dx =
b
f 1g1x22g1x2 dx =
L
f 1u2 du 1u = g1x22
g1b2
Lg1a2
f 1u2 du
L
La
u dv = uv -
L
b
b
v du
uv dx = uv ` a
La
b
vu dx
Basic Integrals
1.
L
x n dx =
3.
L
cos ax dx =
5.
L
7.
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Unit 2 Cumulative Review
Solving equations means to find a solution. The solution is the value of the variable that makes the statement true. For example, if you are given
x + 4 = 6, you know that x must be 2. 2 is the only value of
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I 11 can analyz 7 . 7 7 ' j. _ ' f' j: I I _ ' ' _ Ib-ed verba _ _
( When a train leict the station, it steadily increased its speed. it took 10 minutes to reach its top speed oFO mphlt
rode at this speed For 25 minutes. Then it b
ll
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Date: Class:
Pythagorean Theorem Study Guide
1 he lengths of the sides of a right triangle can be
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Benchmark 2 study Guide
Fracrions are anoiher way of representing dWlSl O W . To converr a fraciion To irs
C boribm)
equivalent decimal expansion, simply divide-ihe l 14:ng lQr gage Jd LURE) 115ng .
going e = 200 6101
:.
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Benchmark 2' study Guide
2. 2:
+ 2-
The Pyrhagorean Theorem for righi Triangles says ,where a and b are
legs and c is Ihe cfw_W P10 Oil ] [28?) .II can be used To find missing Vlgwand if can
be used To nd Them beTween rwo
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The slope-tofhei'nehuhtrog p'ntso(l, 1" Which ofthesesetsMordee paswoiruld define a ' W
(1, 2) is: , V line with a negative slope? - , 5394*
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Practice Graphing Slope Intercept Form L .
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Benchmark 2 Study Guide
A relation is any set of ( (e/YEQ! PL l i \FQ .A function is a relation where each 2Q is V
paired with only one .-To determine if a relation is a function check to see if any X N values
h % 2Qj . If
Class
Name: . I _ Date: .
Solve each equation. lfth'e equation-hasone solution, put a starbeside it. lithe equation has
innite solutions,- put a smiley face beside it. if it has no solution, put an x beside it. You may
choose to show your work on the bac
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Angle Vocabulary Quiz
Use the picture below to answer questions 110. Lines m and n are parallel and line p is a transversal.
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1. What relationship exist between angles 1 and 2? 2. What relationship exist betw
Alternate
Interior Angles
The pairs of angles located inside the
parallel lines (interior) and on opposite
sides (alternate) of the transversal.
These angles are congruent.
Alternate
Exterior Angles
The pairs of angles located outside the
parallel lines (
Name: _ Date: _ Period: _
Investigating Dilations
A dilation is a transformation of a figure that changes its size but not its shape. The scale
factor of a dilation determines the extent of the change in size. A dilation is an enlargement
when the scale f
graph. Compare two different proportional relationships represented in different ways.
Graph proportional relationships, interpreting the unit rate as the slope of the
8.EE.5
What is the slope of the line shown below?
Which of the following is a graph wit
Transformations
Translations are slides. They can be horizontal (left or right) or vertical (up and down). If they are
horizontal, they change the x coordinate. If they are vertical, they change the y coordinate. They
lead to congruent figures (same size
All about Slope
There are four types of slope
Note: Slope and Unit Rate
can be different. A unit
rate is always over 1, so you
may have to divide your
slope to get unit rate.
Slope tells us how steep a line is and whether the relationship between the vari
Name: _ Date: _ Period: _
Investigating Rotations
A rotation is a transformation that turns a figure around a fixed point called the center of
rotation. A rotation is clockwise if its direction is the same as that of a clock hand. A rotation
in the other
Triangle Angle Facts 8.G.5
Skill Check
Stuck? Get a hint
3
Check your
answers here!
here!
You Try!
1. The angle measures of a triangle are 2x+5 degrees,
6x-5 degrees, and 7x degrees. What is the value of x?
A. X = 10
B. X = 12
C. X = 15
D. X = 29
2.
The a
Writing Linear Equations in Slope Intercept Form
To write a linearequation in slope intercept form, you just need a slope and a y
intercept. Remember, slope is and y intercept is the starting value or
what y is when x=0
The slope and yintercept
1
Slope
Pythagorean Theorem practice problems
Find the length of the hypotenuse.
1. 42 + 52 = c2
2. 72 + 22 = 02
Find the length of the third side of each right triangle.
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8
3.
14
11
3f:15
C
Find the length of the side not givenwhen the hypotenuse is c and the
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Practice with Scientific Notation
Section 1: Converting from Standard Form to Scientific Notation
1.
456, 000,000,000 _ 2. 0.0000000000456 _
3. 5,900,000,000,000 _ 4. 0.000000672 _
5. The distance that light travels in one year 5,
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Homewark: Transformations
1. Trapezoid OPQR is drawn on. a coordinate grid 2. A quadrilateral has vertices at (-10,2), (8, 4), (2,7),
0: ( 1) where O(-1,2), P(1,2), Q(2,-1),_ and R(0,-3). Pedro , and (4,9). Its image after a dil
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Study Guide for Volume
:1.
1. Fin-d the mil-[Lime of the cylinder below: K NIRJSIE its . it. Findthe volume ofthe con-e below: 13
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Supreme Court Almost Ruled That Stun
Guns Are Protected By The Second
Amendment
The Supreme Court on Monday accepted a Massachusetts womans argument that a law
criminalizing stun guns may violate the Second Amendment.
In an unsigned, two-page decision, th
Operations with Scientific Notation
Multiplying and Dividing
When MULTIPLYING with Scientific Notation:
Step 1: Multiply the coefficients
Step 2: Keep the base 10
Step 3: Add the exponents (same as with exponent rules)
Example:
*This answer isnt in scient
Argentina has a population of approximately How long would it take a rocket to travel 4 X 106'
4 X 107 people, and Switzerland has a miles if its speed was 1.6 X 103 miles per hour?
population ofapproximately 8 X 106 people. t its: cfw_.3343 it"fiffgt
How