AP Psychology
Ch. 12 Motivation
Study Guide
Name: _
Period: _
1. A) B) C) D) 2. A) B) C) D) 3. A) B) C) D)
Motivation is best understood as a state that: reduces a drive. aims at satisfying a biological need. energizes an organism to act. energizes and di
1.3 Exponential Functions
Acadia National Park, Maine
Photo by Vickie Kelly, 2008 Greg Kelly, Hanford High School, Richland, Washington
Although some of todays lecture is from the book, some of it is not. You must take notes to be successful in calculus.
1.6 Trig Functions
Photo by Vickie Kelly, 2008
Black Canyon of the Gunnison National Park, Colorado
Greg Kelly, Hanford High School, Richland, Washington
Trigonometric functions are used extensively in calculus. When you use trig functions in calculus, yo
2.1 Rates of Change and Limits
Grand Teton National Park, Wyoming
Photo by Vickie Kelly, 2007 Greg Kelly, Hanford High School, Richland, Washington
Suppose you drive 200 miles, and it takes you 4 hours. Then your average speed is:
mi 200 mi 4 hr = 50 hr
d
2.3 Continuity
Grand Canyon, Arizona
Photo by Vickie Kelly, 2002 Greg Kelly, Hanford High School, Richland, Washington
Most of the techniques of calculus require that functions be continuous. A function is continuous if you can draw it in one motion witho
3.1
Photo by Vickie Kelly, 2003
Derivatives
Greg Kelly, Hanford High School, Richland, Washington
Great Sand Dunes National Monument, Colorado
lim
h 0
f ( a + h) f ( a) h
is called the derivative of
f
at
a.
We write:
f ( x ) = lim
h 0
f ( x + h) f ( x) h
3.4 Velocity, Speed, and Rates of Change
Photo by Vickie Kelly, 2008
Denver & Rio Grande Railroad Gunnison River, Colorado
Greg Kelly, Hanford High School, Richland, Washington
Consider a graph of displacement (distance traveled) vs. time. Average velocit
3.7 Implicit Differentiation
Niagara Falls, NY & Canada
Photo by Vickie Kelly, 2003 Greg Kelly, Hanford High School, Richland, Washington
Before we start, we are going to load the Calculus Tools flash application software to your calculator. 1. Connect th
4.1 Extreme Values of Functions
Borax Mine, Boron, CA Photo by Vickie Kelly, 2004
Greg Kelly, Hanford High School, Richland, Washington
4.1 Extreme Values of Functions
Borax Plant, Boron, CA Photo by Vickie Kelly, 2004
Greg Kelly, Hanford High School, Ric
4.4 Modeling and Optimization
Buffalo Bills Ranch, North Platte, Nebraska
Photo by Vickie Kelly, 1999 Greg Kelly, Hanford High School, Richland, Washington
A Classic Problem You have 40 feet of fence to enclose a rectangular garden along the side of a bar
5.1 Estimating with Finite Sums
Greenfield Village, Michigan
Photo by Vickie Kelly, 2002 Greg Kelly, Hanford High School, Richland, Washington
Consider an object moving at a constant rate of 3 ft/sec. Since rate . time = distance:
3t = d
If we draw a grap
5.2 Definite Integrals
Greg Kelly, Hanford High School, Richland, Washington
1 V = t2 +1 8
When we find the area under a curve by adding rectangles, the answer is called a Rieman sum. The width of a rectangle is called a subinterval.
subinterval partition
5.4 Fundamental Theorem of Calculus
Morro Rock, California
Photo by Vickie Kelly, 1998 Greg Kelly, Hanford High School, Richland, Washington
Here is my favorite calculus textbook quote of all time, from CALCULUS by Ross L. Finney and George B. Thomas, Jr.
6.3 Integration By Parts
Badlands, South Dakota
Photo by Vickie Kelly, 1993
Greg Kelly, Hanford High School, Richland, Washington
6.3 Integration By Parts
Start with the product rule:
d dv du ( uv ) = u + v dx dx dx
d ( uv ) = u dv + v du d ( uv ) v du =