The Hong Kong University of Science and Technology
learn
SCI 4631

Spring 2016
1 46 Chapter 3 Derivatives
Quick Review 3.5 (Fa/help, go to Sections 1.6, 3.1, and 3.4.)
Exercise numbers with a gray background indicate problems that the
authors have designed to be solved without a mica/afar.
1. Convert 135 degrees to radians.
2. Con
The Hong Kong University of Science and Technology
learn
SCI 4631

Spring 2016
Cal!)
Rotational Motion Problem Solving +
\
Torgue
1 Five forces are applied to a door. For each,
determine if the torque about the hinge is
positive (1), negative (—). or zero (0).
Six forces, each of magnitude either F 01' 2F, are
applied to a d
The Hong Kong University of Science and Technology
learn
SCI 4631

Spring 2016
2.4 Rates of Change and Tangent Lines
Devils Tower, Wyoming
Photo by Vickie Kelly, 1993
Greg Kelly, Hanford High School, Richland, Washington
The slope of a line is given by:
m
y
x
y
x
The slope at (1,1) can be approximated by
the slope of the secant thro
The Hong Kong University of Science and Technology
learn
SCI 4631

Spring 2016
2.4
RATES OF CHANGE &
TANGENT LINES
Average Rate of Change
The average rate of change of a
quantity over a period of time is the
slope on that interval of time.
Ex.:
Find the average rate of change of f(x) =
x3 x over the interval [1, 3].
y
avg. rate of c
The Hong Kong University of Science and Technology
learn
SCI 4631

Spring 2016
Electric motors can be designed over a fairly wide
range of voltage and current for the same speed and
torque out. Just comparing the intended operating
voltage of two motors doesn't tell you much about
what those motors can ultimately do. Motors designed
The Hong Kong University of Science and Technology
learn
SCI 4631

Spring 2016
AP PHYSICS TORQUE STATICS SOLUTIONS Multiple Choice Section
1
To weigh a fish, a person hangs a tackle box of mass 3.5 kilograms and a cooler of mass 5 kilograms from
the ends of a uniform rigid pole that is suspended by a rope attached to its center. The
The Hong Kong University of Science and Technology
learn
SCI 4631

Spring 2016
CS Project
JAVA Programming Project
Ordering Application
Fedaa Suhail AlAzzeh
Term 3
It is due on 10 May 2016
You are a JAVA programmer now.
Use your programming skills to have the following program for you restaurant:
Your company name and the
logo it i