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y
1. If y = xsinx, then dd =
x
(A) sinx
+ cosx
I
(B) sinx + xcosx
V =- COS X
(C) sinx-xcosx
(D) x(sinx+cosx)
(E) x(sinx-cosx)
xCOS:X
B
i
Sinx
2. Let f be the function gi ven by f( x) = 300x - x 3 . On which of the followi
Chapter 0
Overview of the TI-89 (TI-92 Plus, Voyage 200)
This chapter provides a brief introduction to some of the features of this family of
graphing/symbolic calculators that relate to pre-calculus material. For the most part, we
demonstrate with the TI
Chapter 3
Applications of Derivatives
For the activities in this chapter, the various graphing capabilities of the calculator will be used.
This is loosely coordinated with Chapter 3 of the text University Calculus: Elements with Early
Transcendentals (WM
Chapter 2
Differentiation
We consider in this chapter symbolic and numerical computations related to the differentiation
rules. We also explore implicit functions and implicit differentiation a little more than the text
does. This is loosely coordinated w
Chapter 15
Elementary Differential Equations
The activities in this chapter present some additional things that we can now do with differential
equations on this family of calculators. This is loosely coordinated with Chapter 15 of the text
University Cal
Chapter 1
Functions and Limits
Function is a data type in the TI-89. There are many things that we can do with certain
functions. This is loosely coordinated with Chapter 1 of the text University Calculus: Elements
with Early Transcendentals (WMU edition)
Chapter 5
Techniques of Integration
Most of the activities in this chapter involve functions where you really need the calculator to
evaluate the functions. This is loosely coordinated with Chapter 5 of the text University
Calculus: Elements with Early Tr
Chapter 4
Integration
For the activities in this chapter, the various graphing, numerical, and symbolic capabilities of
the calculator will be used. This is loosely coordinated with Chapter 4 of the text University
Calculus: Elements with Early Transcende
Chapter 7
Sequences and Series
The activities in this chapter present symbolic, numerical, and graphical activites involving
sequences and series.
This is loosely coordinated with Chapter 7 of the text University
Calculus: Elements with Early Transcendent
Chapter 8
Polar Coordinates and Conics
The activities in this chapter show polar coordinates and polar graphing. This is loosely
coordinated with Chapter 8 of the text University Calculus: Elements with Early Transcendentals
(WMU edition), by Hass, Weir,
A Calculator Supplement for Calculus
University Calculus: Elements with Early Transcendentals (WMU edition)
Regular Section Edition, TI-89 version
Dennis Pence
Western Michigan University
Table of Contents
Chapter 0 An Overview of the TI-89 (TI-92, Voyage
Arkansas School of Mathematics, Sciences and the Arts
AP Calculus Free Responses
Categorized by Topic
! Continuity and Differentiability
1
! Relative Extrema and Inflection
10
! Tangent Line Equations
22
! Slope Fields
. 34
! Particular Motion
. 38
! R
Log 0 1 only if bp=n
Law of log, 01
Trigonometry/radian comes from India
Identities are true for all variables
lim 0/0 1
lim k/0 DNE
nxn-1 works for all numbers
differentiable requirement: 1. Continuous 2. Left equals right
2008 AP Multiple Choice Exam
Name
2008 AP
Calculus AB
Multiple
Choice Exam
Section 1
No Calculator Active
PDF Created with deskPDF PDF Writer - Trial : http:/www.docudesk.com
AP Calculus 2008 Multiple
t.
Choice Sotvts
l*fiffi* *-# =-t(A)
-3
, Ii*=
(A)
@9
Intermediate value theorem: tells us that something exists, but doesnt tell us what that
something is
Extreme Value theorem: if continuous over closed interval, has max and min over that interval
Interior points: where the derivative equals 0
Mean Value T
Mr. Ruelle gave the teachers a math challenge. He told the teachers that the equation ax 2+bx+c=0
has no real root. Mr. O misread the quadratic coefficient and got two roots 2 and 4. Mr. Baron
misread the sign of one term and got two roots -1 and 4. What