Chapter 5 Review Cont.
Practice problem from Lecture 1 material:
Suppose ice is forming on a pond at a rate of dy
If y represents the
dt = 2 inches per hour.
thickness of the ice in inches at time, t, in hours since the ice started forming, estimate
Exam 1 is one week from Thursday!
Practice exam is on class blog
TA review sessions listed on class blog
Exam is in Thompson 102, 104, 106 NO ROOM ASSIGNMENTS, just show up and
find a seat in one of the three rooms
Calc help ce
Exam review dates and times are available on the class blog (link on Moodle)
Exam rooms available on the class blog
Practicing Relative Rate of Change and Antiderivatives:
By what factor did the population increase by year 50?
Today was a snow day, these notes reflect the lessons from the lecture videos from
Relative Growth Rate
We already know how to find the absolute rate of change from Calculus 127
How do we find the % of how the population ch
Calc help center is NOW open Monday-Thursday 3PM-8PM
Make sure to sign up for any exam conflicts on Moodle
First homework is due 2/6!
Supply and Demand
Supply- seen from the eye of the producer
As price goes up, you make more mo
2/16/17 is the last day to request a make-up exam on Moodle for Exam 1 (3/2/17)
2/16/17 is the last day to fill out disability services form on Moodle for Exam 1 (3/2/17)
Present and Future Value
An amount PV is deposited in an ac
Math 128 Section 8.2 Cumulative Distribution Functions and Probability
Last Section: Density Functions (PDF or ()
This Section: Cumulative Distribution Functions (CDF or ()
The shaded region represents the CDF.
() = ()
As , () 1
() is increasing (
Make sure you sign up for make-up exams/ disability services exam on moodle
More Integration by Substitution Practice
u= e2x ln(x) + x7
dx = 2e 1/x + 7x
du= 2e2x 1/x + 7x6 dx
duu = 1u du =
Exam 1 is next Thursday
Bring pencils, calculator, and photo ID (Ucard, license)
Calc help center is open Mon-Wed next week
TA review sessions and practice questions on class blog
Practice for Integration by Parts
u = l
Math 128 Section 5.4 Interpretations of the Definite Integral
If () is a rate of change then:
Total change in quantity between t = a and t = b is ()
Ex: () represents the rate that the worlds population is changing
measured in millions of people per y
Math 128 Section 5.3 Definite Integral as Area
Integrals: Integrals, also called anti-derivatives, measure the net area
that a function makes with the x-axis (or the y-axis).
Area above the x-axis:
Area below the x-axis:
Ex: Does the value of the in
I. ' '
(x +3 Kat4)
1=-3x=l a) ln(2:r) + C
b) (1113:) + c
4./x<z+'1)d=c= j xumx? SszerL-lx
a) E+w+0 ' - _
a.) 232111231524'0 \
d) 32(lnz2)+C '
Syllabus available on Moodle
Calculus Help Center in Lederle
Checklist and Guided Notes available on Moodle
Lecture Videos with extra examples available on Moodle
Chapter 5 Review
What does the area under the derivative function te
No class Thursday 3/2
Instead: TAs and Adena will be available 8:15-11:15 in Marcus Cafe to answer
A formula sheet will be provided on the exam
What we learned today is NOT on the exam!
Extra review questions for Exam 1
1. Find the area between y = 3x and y = x2 .
2. If f (t) is measured in pounds and x is measured in feet, what are the units of
f (x) dx?
3. The velocity of a particle (in m/s) is given by the graph below. What is th