AP Calculus AB
8.1_WS
Name_ Date_ Period_
8.1 Mixed Integration Worksheet
Part I:
For each integral decide which of the following is needed: 1) substitution, 2) algebra or a trig identity,
3) nothing needed, or 4) cant be done by the techniques in Calculu
Calculus BC
Name _ Per:_
Date _
Worksheet on Lagrange Error Bound
1. Let f be a function that has derivatives of all orders for all real numbers x Assume that
4
f 5 6, f 5 8, f 5 30, f 5 48, and f x 75
for all x in the interval 5, 5.2 .
(a) Find the third
AP Calculus BC ONLY
Name: _Per:_ Date:_
9.6 Infinite Series and
Convergence Worksheet
Problem 1. Determine which of the following series converge or diverge. If
they converge, give their sum.
X
2
a)
3n
n=0
X 2
b)
3n
n=158
X
(1)n 3n+1
c)
5n
n=0
X 1
d)
2n
n
AP Calculus BC only
Name:_ Per:_ Date:_
9.5 Alternating Series, Absolute and Conditional
Convergence Worksheet
Learning Objectives
To understand and be able to apply the definition of an alternating series.
To understand and be able to apply the concept
AP Calculus BC only
Name:_ Per:_ Date:_
9.4 The Comparison Test Worksheet
Learning Objectives1
To understand and be able to apply the Comparison Test to determine the convergence or
divergence of a series.
To understand and be able to the remainder of a
AP Calculus BC
9.3 The Integral Test and p-Series Worksheet
1. Use the integral test to determine the convergence or divergence of
X
1
.
4
n
n=1
2. Use the integral test to determine the convergence or divergence of
X
1
.
n4
n=1
3. Use the integral test t
1.
The bones of many modern birds and the fossils of bird ancestors have been compared. The
body shape and how bird ancestors might have flown have been studied. This indicates that
small predatory dinosaurs which lived on the ground evolved into birds wi
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Yash Doshi, Vincent Wong, Abhinav Gunda
Table of Contents
I. Executive Summary.1
II. Introduction.2
III. Objectives.3
IV. Schedule of E
A message to our families,
We know you may be aware of possible proposed changes to our property taxes. Currently, in the Pennsylvania
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A message to our families,
We know you may be aware of possible proposed changes to our property taxes. Currently, in the Pennsylvania
legislature there is a rumbling of property tax reform, although nothing has been officially brought forward at this tim
A message to our families,
We know you may be aware of possible proposed changes to our property taxes. Currently, in the Pennsylvania
legislature there is a rumbling of property tax reform, although nothing has been officially brought forward at this tim
A message to our families,
We know you may be aware of possible proposed changes to our property taxes. Currently, in the Pennsylvania
legislature there is a rumbling of property tax reform, although nothing has been officially brought forward at this tim
A message to our families,
We know you may be aware of possible proposed changes to our property taxes. Currently, in the Pennsylvania
legislature there is a rumbling of property tax reform, although nothing has been officially brought forward at this tim
A message to our families,
We know you may be aware of possible proposed changes to our property taxes. Currently, in the Pennsylvania
legislature there is a rumbling of property tax reform, although nothing has been officially brought forward at this tim
A message to our families,
We know you may be aware of possible proposed changes to our property taxes. Currently, in the Pennsylvania
legislature there is a rumbling of property tax reform, although nothing has been officially brought forward at this tim
A message to our families,
We know you may be aware of possible proposed changes to our property taxes. Currently, in the Pennsylvania
legislature there is a rumbling of property tax reform, although nothing has been officially brought forward at this tim
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MATHEMATICAL STUDIES
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NSTRUCTIONS TO CANDI
A message to our families,
We know you may be aware of possible proposed changes to our property taxes. Currently, in the Pennsylvania
legislature there is a rumbling of property tax reform, although nothing has been officially brought forward at this tim
A message to our families,
We know you may be aware of possible proposed changes to our property taxes. Currently, in the Pennsylvania
legislature there is a rumbling of property tax reform, although nothing has been officially brought forward at this tim
Pre-Calculus Honors: Chapter 1 (Practice Test)
Pre-Calculus Honors: Chapter 1 (Practice Test)
1.
f x 3 x 3 x 2 5
10. Given h x x 4 3 4
A) State the common function
B) State ALL transformations (H. Shift, V.
Shift, Relections, V. Stretch/Shrink)
f 7 ?
6 x
Name
Date
AP Environmental Free-Response Question
Battery electric vehicles (BEVs) have been introduced to consumers as an alternative way to reduce the
environmental effects caused by use of internal-combustion engine (ICE) vehicles. A comparison of both
Group Topics
Flint
DeepMichigan
Water
Horizon
Lead
IPCC
Climate Change
California Drought
Sierra Snowpack
California Gold
Compost
fracking
Natural Gas
Tesla
Electric Cars
Clothing
Overconsumption
Oil Spill
What happened? What is the risk
to the children?
5.3 Quadratic Roots by Factoring and Graphing
Homework:
5.3 #3 of 18-23, 3 of 28-33, 3 of 37-45, 46, 47, 60
Agenda:
Finding the roots by graphing
Finding the roots by factoring
Make it work in the real world!
Solve by completing the square.
2
x + 8 x12=0
Homework:
5.2 #12-14, 15-29odd(skip1), 2 of 30-33, 50
Bell Ringer
1 Simplify 2 8 3 2
2 Write the equation of a line that passes
through the points (2, 1) and (-3, 5).
Agenda:
Where's that Axis of Symmetry?!
Concavity, Vertex, Intercepts (they're very
impo
5.6 The Quadratic Formula
5.6 #2of18-23, 3of30-35, 2 of 36, 37, or 44, 2 of 65, 66, or 70
Bell Ringer
1. Derive the quadratic formula
2. Using f(x) = x as a guide write the equation if it is transformed by stretching it
horizontally by a factor of 2, comp
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