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[answered] MATH01130-5 Mathematica Project Instruction Write your answ


In this pdf attached, I need to solve project one. I understand how to solve the problem but the arithmetic itself is too complex for me to get an answer. Can someone please walk me through this problem?


MATH01130-5 Mathematica Project Instruction

 

Write your answers in your Mathematica notebook file (*.nb) along with corresponding codes and results, and

 

then send this file to shimh@rowan.edu by Dec 10, 2016. Put Project 1 and 2 into the same file and make sure

 

to indicate your rowan id in the file name. Project 1

 

(From Exercise 75,76, ?4.2) A study shows that the concentration C(t) (in micrograms per milliliter) of antibiotic

 

in a patient?s blood serum after t hours is C(t) = 120(e?0.2t ? e?bt ), where b ? 1 is a constant that depends on

 

the particular combination of antibiotic agents used.

 

1. Solve numerically for the value of b for which maximum concentration occurs at t = 1 h.

 

2. Find the value of b for which the maximum value of C is equal to 100 mcg/ml. Project 2

 

(From Exercise 29, ?5.9) Moore?s Law In 1965 Gordon Moore predicted that the number N of transistors on a

 

microchip would increase exponentially.

 

1. Does the table of data below confirm Moore?s prediction for the period from 1971 to 2000? If so, estimate

 

the growth constant k.

 

2. Plot the data in the table.

 

3. Let N (t) be the number of transistors t years after 1971. Find an approximate formula N (t) ? Cekt ,

 

where t is the number of years after 1971.

 

4. Estimate the doubling time in Moore?s Law for the period from 1971 to 2000.

 

5. How many transistors will a chip contain in 2020 if Moore?s Law continues to hold?

 

6. Can Moore have expected his prediction to hold indefinitely?

 

Processor

 

4004

 

8008

 

8080

 

8086

 

286

 

386 processor

 

486 DX processor

 

Pentium processor

 

Pentium II processor

 

Pentium III processor

 

Pentium 4 processor

 

Xeon processor Year

 

1971

 

1972

 

1974

 

1978

 

1982

 

1985

 

1989

 

1993

 

1997

 

1999

 

2000

 

2008 No. Transistors

 

2250

 

2500

 

5000

 

29,000

 

120,000

 

275,000

 

1,180,000

 

3,100,000

 

7,500,000

 

24,000,000

 

42,000,000

 

1,900,000,000

 


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