Integration by Substitution
The chain rule allows us to differentiate a wide variety
of functions, but we are able to find antiderivatives for
only a limited range of functions. We can sometimes
use s
Calculus Unit 2, Assignment 3
In the following, find
dy
dx
Find the horizontal tangents of the curve.
For 1-4, draw a graph of the requested derivative.
First Derivative
Second Derivative
First Deriva
Calculus Unit 4 Assignment 4
You may find these formulas useful: Volume of a cylinder:
Volume of a cone:
V r h
2
SA 2 rh
1
V r 2h
3
Volume of a sphere:
1)
,Lateral Surface Area of a Cone:
4
V r3
3
Far
Calculus
Logs and exponentsAssignment 4
Part 1
Calculators are groovy
Show all work and justify all answers.
1.
When Li-An was 15 he had his first job and he earned $1,800/year. As an
18 year old he w
Calculus
Exponential and logarithmic review
Day 2
1.
The Vietnamese living in Taiwan is modeled by the equation = 165 0.26
where t is measured in years from today and P is in thousands of people.
a.
b
Calculus Unit 7 Review Worksheet
Part I: Calculators are groovy
1. Scientists observing owl and hawk populations collect the following data. Their initial count for the owl population is
245 owls, and
Unit 8: Differential Equations Review Worksheet
1.
2.
3.
4.
5. Use separation of variables to find the solution to the differential equation subject to the given initial
conditions.
a.
b.
c.
d. Bonus
Calculus Unit 7 Assignment 3
Exponents and logs
1.
I give Mare $10,000 and she invests it and recieves a return of 7% per year.
a. Write an equation for this investment as continuous growth.
b. How mu
Unit 8: Differential Equations Assignment 2
1. Newton proposed that the rate at which an object cools is proportional to the difference between the
object and the air around it. For example, if you ta
Calculus Unit 7
Exponents and logs day 1
Lets recall the definition of a logarithm:
If =
=
And the three big rules of logs:
I. log ( ) =
A
II. log b
B
III. log ( ) =
1.
Population around the world g
Unit 8: Differential Equations Assignment 3
1.
2. The growth in the population of China is directly proportional its current population.
a. Set up a differential equation based on this proportionality
Unit 8: Differential Equations - Assignment 1 Solutions
1.
2.
3.
4.
5.
6. Use separation of variables to find the solution to the differential equation subject to the given initial
conditions.
a.
b.
c
Calculus I Homework #2, due Friday, September 23
Please give complete, well written solutions to the following exercises.
1. Suppose g is an even function and let h = f o g. Is h always an even
functi
Calculus I Homework #1, due Friday, September 16
Please give complete, well written solutions to the following exercises.
1. Section 1.1 problem 16
2. Find the domain of the function
f (x) =
1
.
ln(x2
Antiderivatives
Antidifferentiation
The operation of determining the original
function from its derivative is the inverse
operation of differentiation and is called
antidifferentiation.
Antidifferenti
Introduction: differential equations means that
equations contain derivatives, eg:
dy/dx = 0.2xy
Ordinary DE: An equation contains only ordinary
derivates of one or more dependent variables of a
sin
CLASS NOTES: Percentages & Graphs
CONCEPT
CALCULATION/EXAMPLES
Proportion: Measures the fraction
of the total group that is associated
with each score. Since proportions
describe the frequency (f) in
EXERCISES FOR MATH 125
Fall 2017 (Instructor: Ricardo Mancera)
Course Plan:
No late homeworks are accepted and no 'make up' quizzes will be given. The lowest score homework and lowest score quiz
will
Fall 2017
Instructor: Professor Monika Kaup
Padelford B 433; email: [email protected]
Office Hours: T Th 11:30 a.m. 1 p.m., and by appointment
Numbers: ENGL 250 A
Time: T Th 1:30 3:20pm
Place: Si
ENGL 250 A
Kaup
Fall 2017
Metamorphoses of Detective Fiction
ASSIGNMENTS
The final grade will be determined as follows:
10% Participation: a composite grade including one first response / primary disc