 # Math 133 Unit 5 Individual Project 2b

MATH133 Unit 5 Individual Project – B

1) Find the domain of the following:

a) F(x) = 4.5e^t

b) g(x)=log(x+3)

c) g(x)=2^x

d) g(t)=ln(t-1)

2) Describe the transformations on the following graph of. State the placement of the horizontal asymptote and y-intercept after the transformation. For example, horizontal shift to the left 1 or reflected about the y-axis are descriptions
Graph of f(x) = e^x

see attached file

a) g(x) = e^x - 4
Description of transformation:
Equation(s) for the Horizontal Asymptote(s):
y-intercept in (x, y) form

b) h(x)=-e^x
Description of transformation:
Equation(s) for the Horizontal Asymptote(s):
y-intercept in (x,y) form:

3) The number of cell phones in use in the United States is increasing exponentially. The number N, in millions, in use can be estimated by

N(t) = 7.12 (1.3)^t, (also can be written as N(t) = 7.12(1.3)^t)
where t is the number of years after 1990.

a) To estimate the number of cell phones in use in 1995, in 2005, and in 2010, fill in the following table

see attached file

b) graph the function.

4) Suppose that the function P=13+45 lnx represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000.
Carry all calculations to six decimals on each intermediate step when necessary.

a) Use this model to determine the percentage of spam in the year 2003. Round your answer to two decimals places.

b)Use this model to determine in how many years (to two decimal places) it will take for the percent of spam to reach 95% provided that law enforcement regarding spammers does not change. Round your answer to two decimal places.

Full Step-by-Step Solutions using MathType in a Word Document.

Question Files
MATH133_U5IP2b.pdf

Subjects: Algebra
Topic: MATH133, MATH133_U5IP2b
Level: College/ University
Tags:

### American InterContinental University, AIU, MATH133, MATH133_U5IP2b

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Question Files
MATH133_U5IP2b.pdf

Subjects: Algebra
Topic: MATH133, MATH133_U5IP2b
Level: College/ University
Tags:

## American InterContinental University, AIU, MATH133, MATH133_U5IP2b

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