Analyzing Accumulated Change: Integrals In Action; Perpetual Accumulation And Improper Integrals; Streams In Business And Biology; Determining The Flow-Rate Function For An Income Stream - Texas Instruments TI-84 Plus Manual

TI-83, TI-83 Plus, TI-84 Plus Guide
Chapter 6

6.1 Perpetual Accumulation and Improper Integrals

NUMERICALLY ESTIMATING END BEHAVIOR Recall from page A-34 of this guide
that we can use the calculator to estimate end behavior. We illustrate using the improper
∞
∫
−
integral 4.3
e
2
Press and use
Y=
functions. Enter f ( x ) =
Press 2ND MODE
numerically investigate the limit using the calculator's numerical
integration function, fInt. To access this function, press
MATH
9,then get Y1 on the screen using
ENTER 1. Continue by pressing , X,T,θ,n , 2 , and a
starting value, say 50. Press ENTER to see the value of
50
∫
−
0.06
4.3 x
e dx
2
Press ENTER and use
2ND
100 ) and press ENTER . Record your values in a table until
you are satisfied with your estimated limiting value. ( Note :
The values you enter do not have to be those shown in the text
or these shown to the right provided the values you input
increase without bound.)

6.2 Streams in Business and Biology

You will find your calculator very helpful when dealing with streams that are accumulated
over finite intervals. Finding either the future or present value of a continuous income stream
is simply finding the value of a definite integral.

DETERMINING THE FLOW-RATE FUNCTION FOR AN INCOME STREAM

calculator can often help you to find the equation for an income stream flow rate. Note that it
is not necessary to use the calculator to find such an equation – we present this as a technique
to use only if you find writing the equation from the word description difficult. We illustrate
these ideas as they are given in Example 1 of Section 6.2 of Calculus Concepts .
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Analyzing Accumulated Change:
Integrals in Action
0.06
x that appears on page 380 of Section 6.1 in Calculus Concepts :
d x
to delete all previously entered
CLEAR
−
0.06
4.3 x .
e
(QUIT) to return to the home screen. We
≈
55.99455807.
to move over the 50. Type
◄
VARS Y-VARS
The
81