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Algebra/Questions Answered by Expert Frederick Koh

SubjectDate Asked
Graph4/23/2012
  Q: Please help me with this question Find the equation of the line (a) whose x-intercept is 4 and ...
  A: (a) Rewriting the line x-2y+4=0 as y= 1/2 x -2 implies the gradient of this line is 1/2. Since ...
mathematical induction explanation4/17/2012
  Q: im having troubles with mathematical induction, which is what i am learning right now. i am looking ...
  A: The idea of mathematical induction is to prove things via what is known as the domino effect. ...
Expanding a Binomial3/16/2012
  Q: How do you expand the following binomial? 8C6 We can't use the binomial theorem. And we're not ...
  A: I assume you are asking with regards to how to find the value of 8C6? You can employ the following ...
Fraction Division3/14/2012
  Q: I read this in an old arithmetic textbook: Divide 96 2/3 by 24 3/4. Here is the solution that was ...
  A: I believe that refers to the concept of multiplication of the denominator by the numerator as a step ...
Fraction Division3/13/2012
  Q: I read this in an old arithmetic textbook: Divide 96 2/3 by 24 3/4. Here is the solution that was ...
  A: Firstly, I think you meant 1160 divided by 297 = 3 <b>269</b>/297 ? Let the first <u>proper ...
Math3/4/2012
  Q: 1. True or false: The function f(x) = 3x grows three times faster than the function g(x) = x. ...
  A: 1. True. The function f(x) has a gradient 3 times as steep as that of the function g(x); hence for ...
Algebra2/21/2012
  Q: The sum of the digits in a two digit number is 10. If the digits are reversed, the new number will ...
  A: Let the digit in the 10s place be x, and the digit in the 1s place be y. The original number is thus ...
Trigonometry1/25/2012
  Q: can you PLEASE show me the correct way to get the solutions for (using either e, ln, or logs): ...
  A: B) x^2.3=112 x = (112)^ (1/2.3)=7.7797 (shown) You don't need to use logarithms for this. ...
Trigonometry1/24/2012
  Q: can you please demonstrate the process in: Q) The function y=2^x is equivalent to: a) x=y log2 b) ...
  A: y=2^x Taking log base 2 on both sides, we have log 2 y =log 2 (2^x) = x log 2 2 ...
Word Problem1/16/2012
  Q: can you please show the process for the following problem: A wrecking ball suspended from a chain ...
  A: log (base: x+3) [(x^3+x-2)/x]=2 log (base: x+3) [(x^3+x-2)/x ]=2 log (base: x+3) (x+3) [ ...
Algebra/Trigonometry1/8/2012
  Q: Topic: Solving Exponential Equations and Inequalities Can you please show me the process to attain ...
  A: (A) (1/2)^(4x+1)=8^(2x+1) (2^-1)^(4x+1)= (2^3)^(2x+1) 2^(-4x-1)=2^(6x+3) [ ...
math1/6/2012
  Q: a man rowed 30 km downstream. it took him 2 hours more time in going back than in going downstream. ...
  A: Let his speed in still water be x kph Then his speed going downstream = x+2 (since he is going with ...
Algebra/Trigonometry12/27/2011
  Q: Topic : Rational Exponents I need to write each expression in radical form, or write each radical ...
  A: A) ³√6x^2/³√5y = [³√6x^2*(³√5y )^2]/ [(³√5y) *(³√5y )^2] ...
Algebra/Trigonometry12/27/2011
  Q: Topic : Rational Exponents I need to write each expression in radical form, or write each radical ...
  A: A) ³√5xy^2 = (5xy^2)^ (1/3) = 5^(1/3) x^(1/3) y ^[2*(1/3)] = 5^(1/3) ...
Algebra/Trigonometry12/26/2011
  Q: Topic: Using a conjugate to rationalize a denominator. Can you please show me the process to attain ...
  A: I will put this in greater detail for your understanding: (5√2 -15)/ (-7) = (+5√2 ...
Algebra/Trigonometry12/25/2011
  Q: Topic: Using a conjugate to rationalize a denominator. Can you please show me the process to attain ...
  A: 1) (4 + √2)/(√2 -3) = (4 + √2)*(√2 +3)/ (√2 -3)*(√2 +3) ...
converting a word problem to linear programming matrix12/23/2011
  Q: A glass manufacturing company uses two types of raw materials (type A sand and type B sand) to ...
  A: If you wish to employ the north west corner method, certain information is missing from your given ...
Multinomial theorem12/15/2011
  Q: Sir plzz tell me how to find coeffecients of terms of multinomial expansion and how to find the no. ...
  A: Sorry but you are not making things any clearer. If you are intending to enquire about how to find ...
algebra12/13/2011
  Q: 15.For the given vertices what type of triangle is formed: Vertices: A(4, -5), B(-2, -8), C(-8, 4) ...
  A: 15. If you plot out the coordinates, you will get a <b> right angle triangle </b> where angle ABC is ...
Linear system of equations12/13/2011
  Q: Suppose that in one week, your company takes in $2,220 in sales at one of its cell phone stores. The ...
  A: a. Let the quantity of cellphones (A4 model) sold be x. Let the quantity of smartphone (Z20 ...
Multinomial theorem12/13/2011
  Q: Sir plzz tell me how to find coeffecients of terms of multinomial expansion and how to find the no. ...
  A: your question is rather vague. You did not mention the dimension of the multinomial distribution, ie ...
math12/12/2011
  Q: Mrs. Sanchez invested a part of Php 30,000.00 at 10 % and the remaining money at 20 % per annum. If ...
  A: Let amount invested at 10% interest be x, then amount invested at 20% interest=30,000-x Since income ...
Linear equations12/12/2011
  Q: I'm not sure about how to solve thisThe line connecting A (-18, 8) and B (-10, -8) is divided in the ...
  A: Using the concept of vectors to solve this would be extremely efficient. Let the coordinates of C be ...
Algebra/Trigonometry12/11/2011
  Q: United States, High School- Grade 9. I am not quite sure with the result I got for this problem. ...
  A: (a) (3a)^2(7b)^4 = (3a)^ 2 (2401 b^4) (Note that 7^4= 2401) = ...
math12/10/2011
  Q: sir how many natural numbers can be formed lying between 1000 and 10000 out of the digits ...
  A: Numbers that are divisible by 2 or 5 must end with the digits 0, 2 or 5. For a 4 digit number XXXX ...
math12/8/2011
  Q: sir how many natural numbers can be formed lying between 1000 and 10000 out of the digits ...
  A: For this particular question, observe that all possible natural numbers which can be considered ...
math12/8/2011
  Q: if word is "mathematics" than how many words can be formed which begin with "t"and in how many of ...
  A: In the word mathematics, you have 2M, 2A, 2T, 1I, 1E, 1H, 1S, 1C To form words beginning with T, ...
trigonometry12/7/2011
  Q: At a certain point the angle of elevation of the top of a flagpole which stands on a level ground is ...
  A: Let the height of the flagpole be h Let the original distance between the flagpole and the point of ...
How Many Operations?12/6/2011
  Q: ◦If you had to compute the polynomial (x + 3)(x – 3) for a certain value of x (the actual ...
  A: To compute the polynomial (x + 3)(x – 3) for a certain value of x, there are 3 operations, namely: ...
maths12/6/2011
  Q: sir in how mnay ways 6 ladies and 6 gentlemen be seated at round table so that no two ladies are ...
  A: Firstly, consider the men . Number of ways to arrange them around the table =(6-1)! =120 ways ...
math12/3/2011
  Q: sir how can we solve equation 2^x +x-1=0 without judging or graphing?
  A: If graphing or direct deduction is not allowed, then we can employ approximation methods to help us: ...
Independent & Dependent Variables?12/2/2011
  Q: I have a quick question, and I hope you can help. I have an assignment due today, and this is what ...
  A: For the two tables you have suggested, I would say the second one looks reasonable but not the first ...
Algebra help12/1/2011
  Q: 1. In 1990, the life expectancy of males in a certain country was 67.1 years. In 1994, it was 70.9 ...
  A: 1. E(t)=mt+c, where m and c are to be found In 1990, ie t=0, E(t)=E(0)=67.1======>c=67.1 In ...
business mathematics11/28/2011
  Q: Given the third term of an arithmetic sequence less than the fourth term by three.The seventh term ...
  A: 3rd term of an arithmetic sequence is denoted by a+2d, where a is the first term and d the common ...
please solve the q...11/28/2011
  Q: s = k-m p = k/m sp = -3 k = ?
  A: Firstly, by observation, k < m GP-------geometric progression AP-------arithmetic progression ...

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Frederick Koh

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Expertise

I can answer questions concerning calculus, complex numbers, vectors, statistics , algebra and trigonometry for the O level, A level and 1st/2nd year college math/engineering student.

Experience

3 years helping out in a singaporean youth forum: http://forums.sgclub.com/math_help/ (under the moniker whitecorp) You can also visit my main maths website http://www.whitegroupmaths.com where I have designed "question locker" vaults to store tons of fully worked math problems. Peace.

Organizations
IEEE(Institute of Electrical and Electronics Engineers )

Education/Credentials
Former straight As A level student from HCJC (aka HCI); scored distinctions in both C and Further Mathematics B Eng (Hons) From The National University Of Singapore (NUS)

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