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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

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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