Lab Week 1

State in a few words, what is an exponential persist?
What is the natural exponential function?
Evaluate 41.5 utilise a calculator. Round your answer to three decimal places.
The design S = C (1 + r)^t models inflation, where
C = the value today
r = the annual inflation rate
S = the inflated value t years from now

Use this draw rein to solve the fol first-class honours degreeing line of work:
If the inflation rate is 3%, how much will a house now worth $510,000 be worth in 5 years?
510000(1??+?0.03)^5
=591229.777893
591229.77789300005


Write 6 = record2 64 in its equivalent exponential form.
26=64
Write 8y = 300 in its equivalent enterarithmic form.
poundarithm 300 = log 8y
log(3*100)=log 8y
log 3+log100=log 8+log y
log 3+2=log 8+log y
log 8-log 3=log y-2
By log(A/B)=log A-log B,
log (8/3)=log y-2
Hurricanes are some of the largest storms on earth. They are very low wedge areas with diameters of over 500 miles. The barometric air pressure in inches of mercury at a distance of x miles from the bosom of a severe hurricane is modeled by the formula f(x) = 0.48 ln (x + 1) + 27.
F(0)=0.48ln(x+1)+27 x=e^(25fo/12-56.25)-1
F(100)=0.48LN(X+1)+27= x=e^(625f/3-56.25)-1

(Source: A. Miller and R. Anthes, Meteorology)
Evaluate f(0) and f(100). Interpret the result.




At what distance from the eye of the hurricane is the air pressure 28 inches of mercury?
Describe the quotient rule for logarithms and give an example.
Use properties of logarithms to expand the following:
= log(X)-3

Submission Requirements: reception all the questions included in the lab. You can submit your answers in a Microsoft Word document, or write your answers on composing and then scan and submit the paper. Name the file as InitialName_LastName_Lab1.1_Date.

Evaluation Criteria:
Did you show the appropriate steps to solve the given up problems?
Did you support your answers with appropriate rationale wherever applicable?
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