12 Exercises
Chapter 1
(t~\ 1.1 Rate of Change
Multiple Choice Questions
1. The traffic flow at a particular intersection is modeled by the function / defined by /(f) = 25+6cos(-)
for 0 <, t < 120. Wh
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Exercises 135
Integration
4.5 Trapezoidal Rule
Multiple Choice Questions
I. If four equal subdivisions on [2,4] are used, what is the trapezoidal approximation of J Jl + x2 del
(A) J725+Jl6+-J[3
Further Applications of Integration ' - Tutorial - 219
W
7.2 Separable Differential Equations
The equation y : f (x, y) is a separable equation if all 1; terms can be collected with dx and
all y terms
96
Exercises
Chapter
3
3.5 The Second Derivative Test
Multiple Choice Questions
1. The graph of y = xA - 2x* has a point of inflection at
(A) (0,0) only
3 27
(B) (f,-) only
(C) (1,-1) only
(D) (0,0) a
Exercises 101
Applications of Differentiation
3.6 Curves of f, f, f and Curve Sketching
Multiple Choice Questions
1. If / is a function such that /' > 0 for a < x < c, f" < 0 for a < x < b, and /' > 0
Exercises 107
Applications of Differentiation
3.7 Optimization Problems
Multiple Choice Questions
1. The point on the curve y = 2-x2 nearest to (3,2) is
(B) (i,I)
(A) (0,2)
(o 4M)
(D) (u)
16
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Exercises 83
Applications of Differentiation
3.1 Related Rates
Multiple Choice Questions
1. The radius of a circle is changing at the rate of l/ir inches per second. At what rate, in square inches
per
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dy = x
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DE5
DE2
dy = y
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dy = 2 y
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DE9
DE6
dy = y x
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dy = x y
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DE1
DE3
dy = x + y
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dy = y
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DE7
dy = x
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, Further Applications of Integration - Tutorial 0 225
7.1 Slop Field
' Mullip' le Choice Questions
1. Shown above is a slope eld for which of the following differentiel equations?
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Its a Match Up
AP Calculus
Each of the given Function Graphs (G1G10), has a set of matching cards including:
Equation (E1E10)
Description (D1D10)
First Derivative Graph (dy/dx 1dy/dx 10)
Second De
Increasing at an endpoint:
f is increasing in an interval I if for all x1, x 2 I,
then x1 x2 f ( x1 ) f x2 .
So, what happens at the endpoint of a closed interval [a, b]? i.e., is f increasing at eith
AP Calculus AB Summer Assignment Name:
Due Date: First day of school.
The purpose of this assignment is to have you practice the mathematical skills necessary to be
successful in Calculus AB. All of t
Course Notes: Probability and Statistics Mrs. Leahy Unit 1: Organizing Data
Probability and Statistics
Unit 1: Organizing Data
Collecting & Organizing Data; Frequency Distributions;
Histograms & Relat
2.1.notebook
September06,2013
*Youneedyourbooktoday!
Chapter
2:
Organizing Data
Florence Nightingale (1820-1910)
has been described as the "relevant
statistician ."
-One of the first to use graphic
re
Course Notes: Probability and Statistics ~ Mrs. Leahy Unit 1: Organizing Data
Probability and Statistics
Unit 1: Organizing Data
Day 1: Collecting & Organizing Data; Frequency Distributions;
Histogram
105
Tsai Lun invents
paper as we
know it today.
What is
biology?
520 B.C.
Greek philosophers propose
that the universe is composed
of four elements: earth, air,
fire, and water.
What Youll Learn
Chapt
Identifying Variables Worksheet
Instructions: Read the question, hypothesis and experiment. Identify the variables for each example.
Experiment #1
Question: Does penicillin prevent infection?
Hypothes
Signicant Zeros
\Which zeros are signicant in a measurement, and which are simply important?
Why?
When working with measurements, it is important to know which digits in the measurement are signi
cant
Probability and Statistics Mrs. Leahy
PROB/STAT Unit 1 Homework Handout:
Answer the following questions or complete the following problems on your own paper. Homework is due the day after
it is assign