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Lecture
Section
Objectives
Assignment
21
4.1-4.3
Exponential Functions
Natural Exponential Functions
Derivatives of Exponential Functions
4.1:
1-33 eoo, 35, 39, 41b
4.2:
1-21 eoo, 39-45 odd
4.3:
1-29 eoo, 39, 41
Understanding Goals:
1.
Understand the properties of exponents and know how to use it to evaluate and
simplify exponential expressions.
2.
To be able to sketch the graphs of exponential functions.
3.
Understand how to evaluate and graph functions involving the natural exponential
function.
4.
To be able to solve compound interest and present value problems.
5.
To be able to differentiate natural exponential functions.
6.
Understand how to use calculus to analyze the graphs of functions that involve the
natural exponential function.
7.
Explore the normal probability density function.
1

This
** preview**
has intentionally

: After
t
years, the initial mass of 16 grams of a radioactive element whose
half-life is 30 years is given by
30
1
16
2
t
y
,
0
t
.
a) How much of the initial mass remains after 50 years?

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