Ch 3 AP CS Assignment.doc
Math 31 AP
Curve Sketching Assignment
_
1. Calculate each of the following limits.
a. lim
x 4
6
( x  4)
b. lim

2
x 5
x +3
2
x  4x  5
c. lim
x
4 x 2  3 x +5
2 x 2 +5 x  4
2. Find the horizontal and vertical asymptotes.
a.
CALCULUS AB Exam Questions (CH 1).docx
CALCULUS AB Practice Exam Questions
Can be completed after Chapter 1 Limits and Continuity
The following questions relate to the NO CALCULATOR portion of the exam.
1.
is
(A) 0
2.
(A)
(B)
(B)
(E)
(C)
1
(D)
0
(E)
(C)
(
Ch 3 AP Related Rates.docx
Math 31
Related Rates
1.
A cone is 20 m deep and 10 m in diameter. If it is being drained at the rate of 4 cubic meters
per second, how fast is the surface falling when there is 2 m of water in the cone?
2.
Two cars leave an int
Math 31AP
Unit: PreCalculus and Limits and Continuity
Days: 9
Topics to Cover
1.
Interval Notation
2.
Linear Functions
3.
Solving Absolute Value Equations
4.
Solving Inequalities: Polynomial, rational
5.
Even and Odd Functions
6.
Piecewise Functions
7.
In
Ch 3 AP CS Exam (KEY)
1.
Domain
Intercepts
Asymptotes
None
Critical Values
Intervals of Increase
Intervals of Decrease
Maximum
Minimum
Inflection Points
Concave Up
Concave Down
None
2.
Domain
Intercepts
Asymptotes
Critical Values
Intervals of Increase
Int
Ch 6 AP Applications of Integration LP
Math 31 AP
Applications of Definite Integrals
Unit Plan
Day 1
Finding Area Between Curves
Section 10.2 Red Book, Section 7.2 Blue Book
Assignment: Page 380 Blue Book 1, 5. 13, 19, 21, 27, 29, 31
Day 2
Volumes using D
Ch 5 AP Integration Techniques LP
Math 31 AP
Techniques of Integration
Unit Plan
Day 1
Indefinite Integrals/Basic Integration
Section 6.1 (Blue Book) and 9.1, 9.2 and 9.3 (Red Book)
Assignment: Page 312 Blue Book 123 odd, 3137 odd
Page 415 Red Book 2, 4,
Math 31 AP
Unit 2: Derivatives
Days: 17
Topics to Cover
1.
Limit Definition of the derivative:
2.
3.
4.
5.
6.
7.
8.
9.
10.
Differentiability/Local Linearity
Rules for Differentiation
Constant
Power
Sum and Difference
Product
Quotient
Chain
Implicit Differ
Math 31 AP
The Definite Integral
Unit Plan
Day 1
Estimating Area Under A Curve: LRAM, MRAM, RRAM and
Trapezoidal Rule
Sections 5.1 and 5.5 (Blue Book)
Assignment:
Day 2
Definition of the Definite Integral (Infinite Riemann Sum)
Section 5.2 (Blue Book)
Sec
Math 31AP
Unit: Applications of Derivatives
Days: 17
Topics to Cover
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Intervals of Increase and Decrease
Extreme Values: Local/Relative vs Absolute/Global
First Derivative Test
Intervals of Concavity and Inflection Points
Ch 6 AP Areas and Volumes Review
(KEY)
1
Math 31 Review
Areas and Volumes of Revolution
1. Sketch and then find the area of the region under:(Round to the neasrest hundredth as needed)
a.
from 1 to 3.
b.
from to
c.
from to
Ch 6 AP Areas and Volumes Review
Ch 2 AP Derivatives Review
(KEY).docx
Math 31 AP
Unit Review
Chapter 2 Derivatives AP Level Questions
_KEY_ is the name, differentiating is the game.
Part A Multiple Choice Section No Calculator.
1. What is ?
A.
B.
C.
D.
E.
1
0
1
DNE
2. At which of the f
Math 31AP
PreCalculus and Limits Unit Review
_KEY_ loves Calculus
1. What is ?
(A)
(B)
(C)
(D)
(E)
1
The limit does not exist.
2. What is ?
(A)
(B)
(C)
(D)
(E)
1
0
1
The limit does not exist.
From 301, we know and that .
Thus, we have
3. Let f be defined
Ch 3 AP Applications of Derivatives Review (SAL).docx
Math 31 AP
Applications of Derivatives
AP Level Questions Review
_s assignment.
Part A Multiple Choice Section
1. What is the instantaneous rate of change of the function f given by the point x = 2 ?
A