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About Robi Bhattacharjee
(Top Expert on this page)

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.

Organizations
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.

   

You are here:  Experts > Science > Mathematics > Advanced Math

Questions Answered By Expert  Robi Bhattacharjee 
In Category  Advanced Math

SubjectDate Asked

Fibonacci numbers11/21/2008
  Q: How do Fibonacci numbers work? Could you walk me through a real number example? I'm having trouble ...
  A: Well, the easiest way to learn fibonacci numbers is through an example. So 1,1,2,3,5,8,13,21,... is ...
Regarding pi11/19/2008
  Q: I read that pi is an irrational number (number whose digits are never ending). I was wonder how is ...
  A: Good question. The reason that it is possible is because being irrational does NOT mean that it is ...
Algebra 211/18/2008
  Q: I am working on inverse functions. I have to find the inverse function of P(x) = 4 times [cube ...
  A: y = 4(8x+3)^(2/3) + 25 (y - 25)/4 = (8x+3)^(2/3) ((y-25)/4)^(3/2) = 8x + 3 x = -3 + ...
Proofs11/10/2008
  Q: Let a and b be elements of the set of integers. Prove that if a^2+b^2 is equivalent to 0(mod3), then ...
  A: Well, basically we have to prove that it is impossible to have a congruent to 0 while b isn't. So ...
Proofs11/8/2008
  Q: Let a and b be elements of the set of integers. Prove that a^3 is equivalent to a(mod3)
  A: Let us take this in two cases. Case 1: a = 0 (mod 3). Well, if 3 divides a then 3 also divides a^3 ...
Discrete Mathematics11/2/2008
  Q: Chapter 7- Linear Programming Write the constraints as linear inequalities and identify the ...
  A: When it says not more than, what it means is less than or equal to. Conversely, when it says not ...
Discrete Mathematics10/27/2008
  Q: Chapter 6- Systems of Linear Equations and Matrices Use the coding method to encode the message. ...
  A: I'm afraid that this is a problem that you will have to figure out on your own. I don't think that ...
Continuous compounding10/26/2008
  Q: Can you please tell me how to enter the following problem on a financial calculator: 2ln(1+.1/2) ...
  A: Your calculator should have a button that says ln. Most scientific and graphing calculators do. So ...
Discrete Mathematics10/24/2008
  Q: Systems of Linear Equations and Matrices Determine whether the given matrices are inverses of each ...
  A: 1 1 2 -10 (1*2 + 1*-1) (1*-10 + 1 *10) 1 0 .1 .2 * -1 10 = (.1*2 + .2*-1) ...
Discrete Mathematics10/23/2008
  Q: could you help me with this question. Thanks Chapter 6- Systems of Linear Equations and Matrices ...
  A: I'm afraid that using Gauss-Jordan Method for this problem would be very difficult for me to show ...
consecutive integers10/17/2008
  Q: find four consecutive integers such that three times the third, decreased by the second, is the ...
  A: Suppose that the smallest integer of the four is x. Then the integers will be x, x+1, x+2, x+3. So ...
Math10/15/2008
  Q: Ca you help me with this? . A drug company is considering manufacturing a new product that has two ...
  A: Hey Jalisa, I cannot draw a venn diagram on the internet due to obvious reasons, but I can answer ...
Area10/13/2008
  Q: I came across this question when looking through this book. How do you find the area of a do ...
  A: For this question, it is best to start with one center point in the middle. Next, if you connect it ...
Functions and slope-intercepts10/11/2008
  Q: Can you please help with these? I would greatly appeciate it. 1) True or False - The following ...
  A: I usually don't answer so many questions at a time, but I'll make an exception. Just know that ...
math proof10/7/2008
  Q: How to prove Fx1 = FX1Cos Theta + FY1Sin Theta and Fy1 = -FX1Sin Theta + FY1Cos Theta? The question ...
  A: Sorry for the late response, I've had a lot of work. This statement is not true, so it cannot be ...
math10/6/2008
  Q: 2^n=52 what is the way to calculate n?
  A: There is a way to calculate n. In order to do this, you have to be familiar with the logarithm. ...
natural log10/4/2008
  Q: how do I calculate (ln4)^2 thank you
  A: To calculate (ln 4)^2, the only way to do this is with a calculator. Most calculators have the ...
Distance, Rate, and Time10/2/2008
  Q: Bob Rodriguez, the Albany, NY sales representative for Advanced Drafting Software, Inc., must attend ...
  A: For this question, simply find the total time taken. For the train, the total time would be total ...
maths9/28/2008
  Q: PLEASE HELP!!! How do you rewrite an expression as a power of a given number? e.g 16 to the power ...
  A: You would first write the number as a power, and then raise it to the other number. Check out this ...
maths problem!!9/28/2008
  Q: . just need your help answering this question.. the question is a trapezium has an area of 25 cm ...
  A: The formula for area of a trapezoid is (b + t)/2 * h = 25. Now the h = 5 since that is the height. ...
Trig Interval9/26/2008
  Q: 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 ...
  A: Sorry for the late reply, I haven't gotten much time lately. To show that there is a root in between ...
SAT math9/25/2008
  Q: The expert can't answer your question. Your Question was: Hey Robi I need your help again! Page ...
  A: Sorry about the confusion, Since there are p positive and n negative, the probability of a positive ...
Centroid of a isoscel triangle in polar coordinates9/24/2008
  Q: I have a circle of radius R. I want to divide this circle in 12 identical isoscel triangles, of ...
  A: This problem proved to be challenging so I took a long time to get it. I think that your easiest ...
Permutation Problem9/24/2008
  Q: Suppose you have members of six families which each consist of a mom, a dad, and a kid. How many ...
  A: So, you have 18 people in six families and you have 18 chairs. You want the members of each family ...
discrete mathematics9/23/2008
  Q: Prove by mathematical induction that SQRT(2)/2 + SQRT(3)/4 + SQRT(4)/6 +...+ SQRT(n+1)/2n > ...
  A: For this problem, it is obvious that the case n = 1 works. Now all we have to do is that assuming it ...
Angle of Elevation9/22/2008
  Q: Students are trying to determine the height of a tower. Mark is standing 7m away from Susan and ...
  A: For this problem, you can set up two equations and have two variables. Let x be the height of the ...
find p9/21/2008
  Q: If p is an integer and 3 is the remainder when 2p+7 is divided by 5, then what value is p? I got 4 ...
  A: It said that when 2p + 7 is divided by 5, it leaves a remainder of 3. This means that it will ...
find p9/20/2008
  Q: If p is an integer and 3 is the remainder when 2p+7 is divided by 5, then what value is p? I got 4 ...
  A: For these kinds of problems, it helps to use an equation. So 2p + 7 is congruent to 3 mod(5). In ...
Integers9/20/2008
  Q: If x is an integer greater than 1 and if y=x+(1/x), which of the following must be true? I. y≠ ...
  A: Great problems! For this question, the easiest way to approach it is to try to prove each thing ...
Integration9/20/2008
  Q: Integral of (x^2-1)/(x^2-16)
  A: Calculus is one of my all-time favorite subjects and I always find a nice question interesting. ...
geometry9/19/2008
  Q: i need help with the following questions: if the length of each edge in a cube is increased by the ...
  A: For the first question, assume that it was an x percent increase. Also, you can assume that the ...
GRE9/19/2008
  Q: An enterprise has a value of 10 - 20millions. If they give shares worth 100$-1000$ to all their ...
  A: For this question, you find the average amount of employees. So 10 million divided by 100 is 100000. ...
math9/18/2008
  Q: We have a span of deck railing. It is 39" from 2x4 to 2x4. We have spindles that are 1 3/8" wide and ...
  A: I'm not really much of a carpenter of any sort so I'm not sure what you mean by 2x4s and spindles. ...
parabola9/17/2008
  Q: there's a graph to this question, but i don't know how to draw it here so i'll try my best to ...
  A: I'm terribly sorry for taking so much time to answer. I've had a lot of work lately. For sideways ...
Logic9/17/2008
  Q: 1)(LOGIC) At a party there are 2 more men than women. If 4 men were to leave and 2 women were to ...
  A: On question two, it is asking what you know for certain, not what might be true. This means that the ...
SAT Math9/17/2008
  Q: For what integer value of x is 3x+5>11 and x-3<1?
  A: I'm terribly sorry for answering this late. I've just had a lot of work lately and haven't really ...
equations with square roots9/16/2008
  Q: square root (x^2-t^2) = 2t-x If x and t are positive numbers that satisfy the equation above, what ...
  A: For this problem, you have to play around with it a bit. So sqrt(x^2 - t^20) = (2t - x) This means ...
integers9/16/2008
  Q: If x is an integer and 2<x<7. How many different triangles are there with sides of lengths 2, 7, x? ...
  A: For this problem, you have to take into consideration the fact that any two sides of a triangle MUST ...
help9/16/2008
  Q: You are the cleverest person I don't know so riddle me this if you will... How can i make 5, 6, 6, ...
  A: For this problem, you just have to think about ways to make four. Now the first thing I thought of ...
Logic9/14/2008
  Q: 1)(LOGIC) At a party there are 2 more men than women. If 4 men were to leave and 2 women were to ...
  A: Good questions! For the first question, the best way to do it is to set up equations. Let m be the ...
SAT math9/14/2008
  Q: Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in ...
  A: For this question, the best way to do it is to think about time. You know that she takes one hour ...
SAT math9/14/2008
  Q: In the xy-plane, the equation of line l is y=2x+5. If line m is the reflection of line l in the ...
  A: When you reflect lines over the x axis, all you have to do is change the y to a -y because ...
SAT math9/13/2008
  Q: What is the midpoint of the line segment described by (1,4) and (3,7)? I don't know how they got the ...
  A: To find the midpoint of a line segment, what you do is find the midpoint of the x coordinates and ...
logarithm sequences9/12/2008
  Q: "Describe how to obtain the third answer in each row from the first two answers" a)log[base7]49, ...
  A: For a) you notice that 7 is 7^1 and 49 is 7^2. This means that the third term should have base 7^3 ...
logarithm bases9/10/2008
  Q: how do you find the nth term in this logarithm sequence: log[base 2]8, log[base4]8, log[base8]8, ...
  A: Well basically, you notice that each term in this sequence is pretty much the same except for the ...
finite math9/10/2008
  Q: A three digit number is formed using the digits from {1,2,3,4,5,6} How many such numbers are ...
  A: Well, here are the solutions. 1) Well you can have 6 different first digits, 5 different second ...
math question9/9/2008
  Q: Using the numbers 2,4,9,6,7,3, Digits appear only once in an answer. each answer may not use all ...
  A: I'm not too sure what you are asking, but I will answer the question I think you are asking. If you ...
General Form of the equation of the circle9/8/2008
  Q: I was reading your post on the standard form of a circle and I think I got that but I am having ...
  A: It would basically look like this. (x-0)^2 + (y-0)^2 = 4^2 which is basically x^2 + y^2 = 16. Now ...
algebra9/8/2008
  Q: A college dormitory houses 210 students ,This fall ,rooms are available for 76 freashmen .On the ...
  A: Since 95% of those who ask get one, they should have 76/95*100 = 80 students apply. This is because ...
Solving9/8/2008
  Q: 1. 3x + 2y= 6 2. y= 3/2x + 1 ANSWER: Hello Antonia, This is a good question. Basically, you ...
  A: Oh, sorry, I misunderstood. Anyways, in this case I'm not sure what you are asking. Do you want me ...
Maths9/7/2008
  Q: i need the formular to work out the diagonal length of a rhombus if the base is 56m and the height ...
  A: It is impossible for a rhombus to have a base of 56 and a height of 59. This would mean that it has ...
mathematical rules9/6/2008
  Q: I have heard of scientific theories and mathematical rules and I was wondering if there is any ...
  A: Nice question. The difference between a rule and a theory is basically that a theory explains ...
Spherical Trig?9/5/2008
  Q: This article appeared in National Geographic. Could you please tell me how the trig calculation was ...
  A: I'm not sure I understand what they did either. It seems that they didn't really even try to explain ...
math9/4/2008
  Q: write each number in expanded form using exponents. 1. 56,240,135,010 2. 907,002,920
  A: 56,240,135,010 = 0*10^0 + 1*10^1 + 0*10^2 + 5*10^3 + 3*10^4 + 1*10^5 + 0^10^6 + 4*10^7 + 2*10^8 + ...
Volume9/3/2008
  Q: Not if I have targetted the right person, but would appreciate your help. Salt absorbs water I ...
  A: I'm not sure if Salt absorbs water. I think that salt dissolves in water. Also, I'm afraid you've ...
equations9/3/2008
  Q: i need help solving this math equation with the rule being as follows. suppose=2x-2.5. Find x if ...
  A: 2x - 2.5 = 10 2x = 12.5 x = 6.25 4x + 10 = 22 4x = 12 x = 3. Basically for each problem, just ...
Trigonometry9/2/2008
  Q: i want to know the formula to calculate the area of contact of a circle touching a flat ...
  A: It is a great question. The answer is, the area will be zero. The pipe will only touch the ...
Derivative9/2/2008
  Q: I'm having trouble with one of my math problems and the answer is not in the back. Can you help? ...
  A: I must say that this definetly is a challenging question. So in order to do this problem, you have ...
algebra9/1/2008
  Q: a half-acre building lot is five times as long as it is wide. what are its dimensions? Note: 1 ...
  A: Half of an acre is 21780. So let its width be w. Then the area will be 5w * w = 5w^2 = 21780 so ...
mathematical induction9/1/2008
  Q: I need to prove by induction that 5^n+3 is divisible by 4 for all nЄZ+
  A: Great question! Well in mathematical induction, you first verify it works for n = 1. So 5^1 + 3 = 8 ...
Trigonometry word problem8/31/2008
  Q: A billboard is 20-ft, the bottom of which is 15-ft off the ground. There are two areas on the ground ...
  A: I understand now what you mean. For the first two questions, you are very correct when you say that ...
Puzzle I cant solve8/28/2008
  Q: Victims of a shipwreck were lost at sea. Due to strong waves th ey were all soon separated. Search ...
  A: Nice puzzle. Well lets say that there were x survivors. SO after x/6 of them were found, 5x/6 ...
Grade 9 math8/28/2008
  Q: Write the ratio of the number of vowels to consonants in the word "oxymoron" Consider y to be a ...
  A: Basically, there are 4 vowels counting y and 4 consonants. SO the ratio of vowels to consonants is ...
trig problem8/28/2008
  Q: i have to prove how these two trig formulas are equal could you help? (Cot(x)-1)/(Cot(x)+1) = ...
  A: This seems about right and I have solved it. Take the right side and start simplifying. 1- sin2x ...
trig problem8/27/2008
  Q: i have to prove how these two trig formulas are equal could you help? (Cot(x)-1)/(Cot(x)+1) = ...
  A: Great question!! I also had a hard time with this question. Now, I just realized something, this ...
Geometry8/26/2008
  Q: I'm having a problem understanding the theory behind determining if a set of coordinates lies with a ...
  A: I must say this is very interesting. I found many ways of doing this, but one of the ways seemed the ...
finding the nth term in a sequence8/20/2008
  Q: what is the nth term for the following sequence? and please eplain. 2 4 16 256
  A: The following sequence seems to square each time. Observe that 2 squared is 4, 4 squared is 16, and ...
Trignometric Proof8/19/2008
  Q: I have a problem with a trignometric proof. I tried my best but can not be able to prove. Can you ...
  A: You could start at the left side of this equation and start simplifying, but that would be hard and ...
hyperbola8/9/2008
  Q: i was wondering if you could please put the hyperbola -4x^2 + 9y^2 - 32x +90y +17 = 0 in ...
  A: -4x^2 + 9y^2 - 32x + 90y + 17 = 0 -4x^2 - 32x + 9y^2 + 90y = -17 -4(x^2 + 8x) + 9(y^2 + 10y) = -17 ...

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