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Expert: Robi Bhattacharjee - 9/26/2008


Question
f(x) sin(2x-3)-1/2x+1
where x is in radians
show that there is a root alpha of f(x) in the interval [1.32, 1.34]

Answer
Hi Robert,

Sorry for the late reply, I haven't gotten much time lately. To show that there is a root in between these you know that f(1.32) is negative while f(1.34) is positive, so there has to be a root inbetween them since it must hit 0 to go from negative to positive since 0 is right between negative and positive.



I hope this helped,
Robi

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Robi Bhattacharjee

Expertise

I can answer a variety of questions on mathematics. Questions on trigonometry, calculus(preferably single variable), algebra, geometry, and number theory will be answered. I cannot answer questions on abstract branches of mathematics such as group theory. I also cannot answer questions on statistics. In number theory, I can answer questions on congruences, prime numbers, units, functions, and the riemann-zeta function.

Experience

I have studied advanced math my entire life. I started calculus in sixth grade. I have attended numerous math competitions and I am attending math organizations such as the San-Diego math circle. Also, this year I have been invited to the USAMO which is a prestigious math competition (Every year the USAMO invites 500 students from across the USA to participate in this competition. The top 6 go to represent the USA in the International Math Olympiad).

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I am in the San Diego Math Circle

Education/Credentials
I am entering high school and have received a perfect score and the STAR test 5 times in a row. I also have gotten recognitions in the AMC 10, AIME, Math Counts, and ARML. Additionally, I have won the San Diego Math Olimpiad twice in a row.

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