TI 89The such that key and limits
If you need to find several values of a function at different values of x, use the home screen
and such that.
Numerical substitutions can be done easily in your calculator by entering the
function in the home screen and t
TI 89
Graphing range & scale zoom zero, value, minimum/maximum, table
GRAPHING
As with many graphing calculators, an equation must first be solve for y.
Also, the graph mode must be set to FUNCTION: MODE  GRAPH > 1: FUNCTION  ENTER TWICE
To graph an equ
TI  89
Solving Equations
Solving Equations on TI 89: using the 'solve(' function
1) F2 1:Solve(
2) Enter the equation, then comma, then x.
Ex. 1: Solve the following equation for x: 3(x + 2) = 5(x  6).
F2 1: Solve(3(x + 2) = () 5(x  6), x) ENTER
solu
TI 89  Titanium
Key
Purpose

2ND
Activates all functions and characters in blue on the calculator

Green Diamond Activates all functions and characters in green on the calculator

2ND  CUT
Cuts highlighted text (can be pasted too)

Helps to highlig
TI89
A Few Useful Functions
F2 1:Solve(
Ex. 1:
solves literal equations too
Solve the following equation for h:
A = 2rh + 2r2
F2 1:Solve(a = 2 r h + 2 r^2 , h)
ENTER
All multiplications must be indicated when using more than one variable.
Result
h
a
r
2
MATH260 Final Exam Study Guide
YOU MAY WANT TO PRINT THIS GUIDE.
1. The Final Exam is open book, open notes. The maximum time you can spend in the exam is 3 hours,
30 minutes. It is contained within the MML environment. If you have not clicked the Submit
TI 89
Mode, Fractions & Decimals, Scientific & Engineering Notation, Powers, Roots, Order of Operations
Displaying Digits and Mode
The TI 89 can display at up to 12 digits. The number of digits and the kind of number can be
set by using the MODE key:
MODE
MATH260Week 6 Lab
Name:
1. Antiderivatives

According to the first part of the fundamental theorem of calculus, the antiderivative reverses the
derivative. If f(x) is a derivative, F(x) is the antiderivative.
Find the derivative of the given function. Cr
MATH 260Week 7 Lab
Name:
1. The General Power Formula (2)
Integrate the following function. Credit will be given only if all the steps are shown.
8 sin1 /3 x cos x dx
2. Logarithmic Integrals (2)
Integrate the following function. Credit will be given onl
Math 260  Week 3 Lab
Name:
Waldo Corea
In calculus, much effort is devoted to determining the behavior of the graph of a function over an
interval on the Cartesian Plane.
Finding x & y intercepts, asymptotes, intervals of increasing or decreasing, local
Name: Waldo Corea
Math 260  Week 1 Lab
Part I Limits
The limit of a function is a way to see the value that the function approaches as a variable in that
function gets close to but not necessarily equal to some other value The four ways we have looked
at
Math 260  Week 2 Lab
Name:
f ( x +h ) f ( x )
to find a derivative each time is a long process and
h
h0
often cumbersome. But, there are a few algorithms that work perfectly for finding derivatives. They
are the power rule, the product rule, the quotient
MATH260Week 4 Lab
Name: Waldo Corea
Part I: The Trig Derivatives
Although the derivative of each trig function can be found by using trig identities and the formula
f ( x+h)f ( x)
lim
, it is far simpler to memorize them because they will be used in many
Math 260  Week 2 Lab
Name:
f ( x +h ) f ( x )
to find a derivative each time is a long process and
h
h0
often cumbersome. But, there are a few algorithms that work perfectly for finding derivatives. They
are the power rule, the product rule, the quotient
Right Triangle Trigonometry Example
Page 133
Exercise 14.
Please see Figure 4.90
A surveyor sights two points directly ahead. Both are at an
elevation 18.525 m lower than the observation point. How far
apart are the points if the angles of depression are
Right Triangle Trigonometry Example
Page 132
Exercise
92.
Please see Figure 4.86
A ground observer sights a weather balloon to the east at an angle
of elevation of 15.0 DEG . A second observer 2.35 miles to the
east of the first observer also sights the w
Right Triangle Trigonometry Example
Page 132 Online Text Book
Find the gear angle
88.
Please see Figure 4.83
in Figure 4.83 if
t
= 0.180 inches.
Solution:
By drawing (dropping) two perpendiculars in the diagram, we
can split the 0.355 in length in the dia
Right Triangle Trigonometry Example
Page 132 Exercise 87.
Please see Figure 4.82
A laser beam is transmitted with a width of 0.00200 DEG .
What is the diameter of a spot of the beam on an object 52,500
km distant? Please see figure 4.82 .
Solution:
We can
Right Triangle Trigonometry Example
Page 132 Exercise 84. Online Text Book Please see Figure 4.79
A Coast Guard boat 2.75 km from a straight beach can travel at
37.5 km/hr . By traveling along a line that is at 69.0 DEG with
the beach, how long will it ta
Right Triangle Trigonometry Example
Page 133
Exercise 13.
The loading ramp at the back of a truck is 9.5 feet long. What
angle does it make with the ground if the top of the ramp is 2.5
feet above the ground?
Solution:
The vertical dimension in this Figur
Right Triangle Trigonometry Example
Page 133
Exercise 11.
In finding the wavelength (the Greek letter lambda) of light,
the equation
= d sin( )
is used.
Find
DEG .
(
is the prefix for
if
d
=
30.05
m
and
=
1.167
)
6
10
Solution:
=
DEG )
d sin(
)
=
( 30.05
Right Triangle Trigonometry Example
Page 133
Exercise 9.
The equal sides of an isosceles triangle are each 12.0 , and each
base angle is 42.0 DEG . What is the length of the third side?
Solution:
Here is Our isosceles triangle (isosceles means that two of
Sun
Oct 25
Mon
Oct 26
Nov 1
Nov 2
Tue
Wed
First Wk 1
Post Due
Thur
Fri
Oct 30
Sat
Oct 31
First Wk 2
Post Due
Nov 6
Nov 7
Nov 9
First Wk 3
Post Due
Nov 13
Nov 14
Nov 16
First Wk 4
Post Due
Nov 20
Nov 21
Nov 23
First Wk 5
Post Due
Nov 27
Nov 28
First Wk 6
P
TRIGONOMETRY
The trigonometry of right triangles
Coordinate trigonometry
RIGHT TRIANGLE TRIGONOMETRY
Definitions of the trig ratios:
sine
sin
opposite leg
hypotenuse
SOH
Note:
cosine
cos
tangent
adjacent leg
hypotenuse
CAH
A and B are complementary ang
TRIGONOMETRY
Importance of calculator settings
MODE
IN CALCULATION
In calculation:
If we are in the wrong mode, our answers will be wrong!
Mode should agree with units in the problem.
Example: solve for x
sin 67 = 50/x
x =
/sin 67
50
x  58.4
MODE
IN CALC
COURSE SCHEDULE
Week, TCOs, and Topics
Readings and Class
Preparation
Activities and
Assignments
Week 1
TCO 1
The Trigonometric
Functions
Section 4.1: Angles
MATH 104 REVIEW
Section 4.2: Defining the
Trigonometric Ratios
CHECKPOINT 1
Section 4.3: Values o
Sun
Oct 25
Mon
Oct 26
Nov 1
Nov 2
Fri
Oct 30
Sat
Oct 31
First Wk 2
Post Due
Nov 6
Nov 7
Nov 9
First Wk 3
Post Due
Nov 13
Nov 14
Nov 16
First Wk 4
Post Due
Nov 20
Nov 21
Nov 23
First Wk 5
Post Due
Nov 27
Nov 28
First Wk 6
Post Due
Dec 4
Dec 5
First Wk 7
Po
Right Triangle Trigonometry Example
Page 133
Exercise 95.
A patio is designed in the shape of an isosceles trapezoid with
bases 5.0 m and 7.0 m . The other sides are 6.0 m each.
Write one or two paragraphs explaining how to use (a) the sine
and (b) the co
TRIGONOMETRY
Angles and their measures
ANGLE MEASUREMENT
1.
Degree measure ( 1 revolution = 360 )
a. Decimal degrees
b. Degrees minutes seconds
2.
(1 = 60 and 1 = 60 )
Radian measure ( 1 revolution = 2 radian)
a.
Definition: consider a central angle. A ra
Statistics Lab Week 2
Name: Neil Evelyn
Math221
Creating Graphs
1. Create a Pie Chart for the variable Car Pull up Graph > Pie Chart and click in the
categories variables box so that the list of variables will show up on the left. Now
double click on the