Bellevue College
Math 142
SOLVING TRIGONOMETRIC EQUATIONS
These Instructor Lecture Notes provide instruction on solving trigonometric
equations 1) over the interval [ 0, 2 ) , 2) for all solutions, and 3) involving
multiple angles. These concepts are pres
Bellevue College
Math 142
CONIC SECTIONS AND THEIR GRAPHS
THE HYPERBOLA
These Instructor Notes provide instruction on 1) the geometric definition of
the hyperbola, 2) Standard Forms of the Equation of a Hyperbola, 3)
Standard Forms of the Equation of a Tr
Bellevue College
Math 142
POLAR COORDINATES
These Instructor Lecture Notes provide instruction on (1) the definition of the polar
coordinates, (2) plotting polar coordinates, and (3) conversions between polar and rectangular
coordinates. These Notes suppl
Bellevue College
Math 142
ROTATION OF AXES
These Instructor Notes provide instruction on the rotation of axes, especially in connection
with conic sections and their corresponding graphs. These notes supplement Section 9.4.
BASIC IDEA BEHIND ROTATION OF A
Bellevue College
Math 142
TRIGONOMETRIC IDENTITIES
The textbook does an outstanding job of developing the trigonometric identities with lots
of good explanation and examples. Ive summarized the basic trigonometric identities
from sections 5.1, 5.2, 5.3, a
Score: 1 of1 pt 4 1ot20cfw_1complete)v I : I HW Soore:5%, 1 one pts
@9.1.19l mouwionHeip | it
Find the standard form otti'le equation otti'le ellipse and give tile location ot its toci. Type the standard form otti'le equation.
a x2 r2
+:1
49 16
(Typ
Score:10f1 pt 4 1 or25 (1 complete) v I : l HW Score: 4%, 1 of 25 pts
6.3.3 35 Question Help I 1:!
Identify the point with the given polar coordinates.
[e
Choose the correct graph below.
Homework: Instructor Homework Assignment #8 E
Solutions to the Study Problems for the Final
1)
The average rate of change is
f (x) decreases 17 units.
y f (3) f (1)
=
= 17 , which means that for every one unit increase in x ,
x
3 1
f ( x + h) f ( x)
[2( x + h)2 + 5( x + h) 3] [2x 2 + 5x 3]
f ( x) = l
Solutions to the Study Problems for Exam I
1)
Use your calculator to fill out the following table:
[Show the first 6 decimal places without rounding.]
x+23
x7
x
7.01
7.005
7.001
6.999
6.995
6.99
0.166620
0.166643
0.166662
0.166671
0.166689
0.166712
Then u
Kathryn Kuan
Kathryn Kuan
July 31, 2008
Assignment #5
Pg. 815 #24
24. Use substitution to find the indefinite integral.
Let . du is the derivative of u times dy :
2
2 1
Rewrite equation with u. Factor a 2 out of the limiter so that you can substi
KevinKang
MATH&148
Due:November6,2008at6pm
HomeworkAssignment#6
p.815, Problem #34.
34. Use substitution to find the following indefinite integrals. (See Examples 1-6 for Exercises 3-34 and
Example 7 for Exercises 35-38).
6
3
First, we need to rewrite the
Lisa Chan
Math 148 Online Winter 2011
Due February 22, 2011 - 9pm
Homework #5
PROBLEM
Use the definite integral to find the area between the x-axis and the function f ( x) 1 e x over the
interval from [2, 3].
(1)
First graph the function over the stated i
Bellevue College
Math 142
CONIC SECTIONS AND THEIR GRAPHS
THE ELLIPSE
These Instructor Notes provide instruction on 1) the geometric definitions of
the conic sections, 2) Standard Form of the Equation of an Ellipse, 3)
Standard Form of the Equation of a T
Bellevue College
Math 142
CONIC SECTIONS AND THEIR GRAPHS
THE PARABOLA
These Instructor Notes provide instruction on 1) the geometric definition of
the Parabola, 2) Standard Forms of the Equation of a Parabola, 3) Standard
Forms of the Equation of a Trans
Bellevue College
Math 142
PRACTICE PROBLEMS FOR SECTION 9.1
CONIC SECTIONS THE ELLIPSE
In the Math 142 Canvas course site:
Read: Instructor Lecture Notes for Sections 9.1 Conic Sections The
Ellipse. Do this first, BEFORE you start working with the MyMathL
Bellevue College
Math 142
Name
v1b Su
MIDTERM EXAM
PLEASE SHOW ALL YOUR WORK. ANSWERS WITHOUT ADEQUATE JUSTIFICATION MAY NOT RECEIVE
CREDIT. PLACE ANSWERS IN THE SPACES PROVIDED. LABEL ANSWERS TO APPLICATIONS WITH PROPER
UNITS. STATE ANSWERS IN EXACT FORM
Your second answer is correct but the first answer is incorrect. You have identified the appropriate
transformation. Check that you have applied the transformation correctly. Recall the reciprocal identities.
Check your work carefully.
Your second answer
Bellevue College
Math 142
PRACTICE PROBLEMS FOR SECTION 5.5
TRIGONOMETRIC EQUATIONS
In the Math 142 Canvas course site:
Read: Instructor Lecture Notes for Sections 5.5 Solving Trigonometric Equations. Do
this first, BEFORE you start working with the MyMat
Bellevue College
Math 142
PRACTICE PROBLEMS FOR SECTION 6.3 & 6.4
POLAR COORDINATES
SECTION 6.3
In the Math 142 Canvas course site:
Read: Instructor Lecture Notes for Sections 6.3 Polar Coordinates. Do this
first, BEFORE you start working with the MyMathL
Bellevue College
Math 142
PRACTICE PROBLEMS FOR SECTION 6.6 & 6.7
VECTORS AND THE DOT PRODUCT
PLEASE NOTE: The textbook did a great job of presenting the information in
Sections 6.6 & 6.7 on Vectors and the Dot Product, so I didnt create any
Instructor Le
Bellevue College
Math 142
PRACTICE PROBLEMS FOR SECTION 9.2
CONIC SECTIONS THE ELLIPSE
In the Math 142 Canvas course site:
Read: Instructor Lecture Notes for Sections 9.2 Conic Sections The
Hyperbola. Do this first, BEFORE you start working with the MyMat
Bellevue College
Math 142
PRACTICE PROBLEMS FOR SECTION 9.5
PARAMETRIC EQUATIONS
PLEASE NOTE: The textbook did a great job of presenting the information in
Section 9.5 on Parametric Equations, so I didnt create any Instructor
Lecture Notes for this sectio
Bellevue College
Math 142
PRACTICE PROBLEMS FOR SECTION 9.4
CONIC SECTIONS ROTATION OF AXES
In the Math 142 Canvas course site:
Read: Instructor Lecture Notes for Sections 9.4 Conic Sections Rotation of
Axes. Do this first, BEFORE you start working with t
Bellevue College
Math 142
PRACTICE PROBLEMS FOR SECTION 7.4
SOLVING NONLINEAR SYSTEMS OF EQUATIONS
PLEASE NOTE: The textbook did a great job of presenting the information on
Solving Nonlinear Systems of Equations. Thus I didnt create any Instructor
Lectur
Bellevue College
Math 142
PRACTICE PROBLEMS FOR SECTION 5.1 5.4
TRIGONOMETRIC IDENTITIES
In the Math 142 Canvas course site:
Read: Instructor Lecture Notes for Sections 5.1-5.4 Trigonometric Identities. Do this first, BEFORE you
start working with the MyM
Bellevue College
Math 142
PRACTICE PROBLEMS FOR SECTION 9.3
CONIC SECTIONS THE PARABOLA
In the Math 142 Canvas course site:
Read: Instructor Lecture Notes for Sections 9.3 Conic Sections The
Parabola. Do this first, BEFORE you start working with the MyMat