Monday

December 22, 2014

December 22, 2014

Number of results: 112,743

**Calculus**

We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any functions that can be made...
*September 13, 2007 by Kelly*

**MATH _ GRAPHING RATIONAL FUNCTIONS**

When graphing rational functions, how do I know which directions the graphs go? Example, for equation y = 9/x - x, how would you graph this? Also, why is the horizontal asymptote for f(x)= 2+x / x-7 is 1 instead of 0?
*October 14, 2007 by Anonymous*

**Math- Rational Functions**

1. Some rational functions have asymptotes, others have holes, and some have both. Explain how you can identify, without graphing, which graphical features a rational function will have. Can someone explain this thoroughly ? I don't understand. thanks in advance.
*October 5, 2008 by Mae*

**math**

hello, i have some question about rational functions. 1) are there any sites that are good in teaching graphing rational functions? 2) for the domain of the rational function it is what the denominator cannot equal to rite? for example the denominator of x^2-7x+10 can be ...
*October 23, 2007 by julie*

**Gr.11 - Rational functions graphing.**

1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the x-axis and has a single vertical asymptote. Graph the function. 3. Identify a rational function who ...
*October 6, 2008 by Mae*

**calculus: Rational Functions**

I do not understand how to complete rational functions: ie: As x (arrow) -3, f(x) (arrow) ?. Our book sucks and our instructor is little help. Thank you.
*April 1, 2008 by Pam*

**Math Rational Functions-Please Clarify =)**

I have a question about the rational function I recently posted. Would the range still be (-∞,2)U(2,∞) if the rational function is what Reiny posted "(2x^2-18)/(x^2+3x-10)." The y-intercept confuses me because its (0,1.8) and when I look at the line it passes ...
*October 15, 2012 by Enlia*

**Math**

For the given functions, write the rational function, r(x) = [f(x-h)-f(x)]/h and simplify: a. F(x) = 2x+3 b. F(x) = 1/(x+1) c. F(x) = x^2 --- Just need to know that the rational function is and maybe I can do the questions. Thanks.
*February 9, 2010 by Anonymous*

**Math**

I just wanted to check my answers with anyone willing to take the time. Identify all sets that -3/4 belongs to: a.whole #s, integers, rational #s b.rational #s c.integers, rational #s d.odd #s, whole #s, integers, rational #s Ithought it was C How many centimeters are equal to...
*December 14, 2006 by Katie*

**Math advance functions gr 12**

Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)
*April 1, 2013 by alex*

**Pre-Calculus**

Rational Functions y = (x^2+7x-4)/(x-2) Since the degrees of both the numerator and denominator are the same, I would use the leading coefficient, and both the rational functions start with 1, so would the horizontal asymptote be 1? Also dont get how to find the horizontal ...
*October 2, 2012 by Shreya*

**Algebra**

Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, showing all work. 3. Discuss the ...
*May 2, 2011 by Debra*

**Math - Simple rational functions (check)**

Consider the function f(x) = x/(x-1) Are there any turning points? Explain how this could help you graph f(x) for large values of x? Ans: turning points is another word for checking the concavity, and therefore i find the second derivative and equate it to zero and see where ...
*October 29, 2010 by Anonymous*

**Math-Rational #'s**

Just trying to understand this. Please let me know if I did these right. Thanks!!! -7 as a rational # = -7/10 -3.03 as a rational # = -33/10 -2 3/12 as a rational # = -25/12 1.03 as a rational # = 13/10
*March 15, 2010 by Kate*

**advance functions gr12 HELP ASAP**

using rational functions solve (x+5)/(x-3)= (2x+7)/(x) thank you
*April 2, 2013 by ALEX*

**advance functions gr12 HELP ASAP**

Using rational functions solve 7+ (1)/x = 1/(x-2) thank you
*April 2, 2013 by james*

**advance functions gr12 (SORRY LAST ONE HAD A TYPO)**

Using rational functions solve 7+ (1)/x = 1/(x-2)
*April 2, 2013 by james*

**advance functions gr12**

Using rational functions solve (7+ 1)/x = 1/(x-2)
*April 2, 2013 by james*

**Math**

Use your knowledge of exponents to solve. a) 1/2^x=1/(x+2) b) 1/2^x>1/x^2 So I know that these functions are rational functions.. and I am trying to solve for x. I tried to solve them by I keep getting stuck with the exponent 2 which is the exponential function.. Help please
*June 7, 2009 by Halle*

**rational functions**

A rational function that passes through (0,0) and (4, 8/7) has the x-axis as a horiztonal asympotote. It also has 2 vertical asymptotes x=3, x=-3. I understand that to set it up, it is y= ax+b / (x+3)(x-3). I dont understand how to solve for a and b.
*January 27, 2007 by luke*

**Math Rational Functions**

What is the domain and range of 2x^2-18/x^2+3x-10
*October 15, 2012 by Enlia*

**rational functions... PLEASE HELPPPPP**

A rational function that passes through (0,0) and (4, 8/7) has the x-axis as a horiztonal asympotote. It also has 2 vertical asymptotes x=3, x=-3. I understand that to set it up, it is y= ax+b / (x+3)(x-3). I dont understand how to solve for a and b.
*January 27, 2007 by luke*

**Math rational exponents**

what is the domain of these functions? y= -1/5x^(-1/3) and y=10x^ (-1/6)
*November 14, 2010 by Charm*

**advance functions gr 12**

Using rational functions solve 3(numerator) 2x-4 (denominator) < (with a "-" underneath) 4 (numerator) x-2(demominator)
*April 1, 2013 by james*

**Math**

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes Is the answer D. vertical asymptotes?
*October 19, 2014 by Sarah*

**advance functions gr 12**

Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)
*April 1, 2013 by Fadak*

**advance functions gr 12**

Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)
*April 1, 2013 by Fadak*

**advance functions gr 12**

Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)
*April 2, 2013 by james*

**ALGEBRA**

SIMPLIFY: 5 ROOT OF 6X +4 ROOT OF 6X IS THE ROOT OF 77 IRRATIONAL OR RATIONAL? SIMPLIFY: 8 + ROOT OF 24 DIVIDED BY 2 IS THE ROOT OF 49/100 RATIONAL OR IRRATIONAL AND IS THE ROOT OF 121 RATIONAL OR IRRATONAL? SIMPLIFY: ROOT OF 3X/2 THANKS IN ADVANCE!!!I AM FLUNKING THIS MATH ...
*June 10, 2007 by Tomika*

**Math (calc)**

Given the function: f(x)=x^3(x-2)^2 , on the interval [-1,3] find the domain and Asymptotes ...Isn't the domain (-1<x<3) ? and as for the asymptotes I thought you could only find them for rational functions and since that function is not rational I guess there aren't any...
*November 7, 2009 by Elizabeth*

**Algebra 1 **

Which values should I use to graph the rational function y = 1/x-2 - 6? (The asymptotes are x = 2; y = -6.) Also, what method could I use to choose values for graphing rational functions?
*May 16, 2014 by Anonymous*

**Algebra 1 **

Which values should I use to graph the rational function y = 1/x-2 - 6? (The asymptotes are x = 2; y = -6.) Also, what method could I use to choose values for graphing rational functions?
*May 16, 2014 by Victoria*

**Rational Functions**

Write an equation for a rational function whose graph has the following properties: x-intercept of 3 y-intercept of -3 vertical asymptote of x=-2 horizontal asymptote of y=2
*October 6, 2014 by Rebecca*

**math. can someone do this for me please....**

* Consider the functions f(x)=1/x +4 and g(x)=2/x. Graph f and g on the same grid. a)Determine the points of intersection of the two functions. b)Show where f(x)<g(x). c)Solve the equation 1/x +4=2/x to check your answer to part a). d)Solve the inequality 1/x +4<2/x to ...
*January 6, 2014 by *ajay**

******college algebra…radical functions******

Create a rational function such that the graph of has vertical asymptotes at x=5 and x= -7, a hole at x=2 , and a horizontal asymptote at y = 14. By creating a rational function, you are to write rule for this function. There are many correct solutions here.
*October 16, 2011 by Brianna *

**Math**

2-4 paragraphs plus two graphs Details: Many different kinds of data can be modeled using polynomial functions. An example of a polynomial function would be gas mileage for an automobile. If we compare gas mileage at two different speeds, V1 and V2, the gas required varies as...
*January 21, 2008 by Nathan*

**Math**

Using the index of a series as the domain and the value of the series as the range, is a series a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? Which one of ...
*October 28, 2006 by Vianna*

**math**

What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and a rational number. Please help me I don't know what to do.
*October 21, 2014 by blue*

**math advanced functions grade 12**

Find the solution set to the following rational inequality, 240/x+8 > 20x/x+1
*July 24, 2012 by illiah*

**math**

What is the best sequence of names to identify this set of numbers? (1 3/5,-10, 0.51(the one is repeating), TT,17) 1.(rational,integer,irrational,irrational,natural) 2. (rational,irrational,rational, irrational, whole) 3.rational,real,rational,real, natural) 4. (real,integer, ...
*November 17, 2013 by B8*

**math- please help**

What is the best sequence of names to identify this set of numbers? (1 3/5,-10, 0.51(the one is repeating), TT,17) 1.(rational,integer,irrational,irrational,natural) 2. (rational,irrational,rational, irrational, whole) 3.rational,real,rational,real, natural) 4. (real,integer, ...
*November 17, 2013 by B8*

**Math**

What do you do to check if a number is rational or irrational? In the explanation use a rational and irrational number.
*September 27, 2013 by Steve*

**Algebra plz check**

Find all numbers for which the rational expression is undefined -12/5y. The rational expression is defined for every real number is this correct?
*June 5, 2011 by sam*

**anonymous**

1.) an account invested in a month market fund grew from $67,081.20 to $67,359.39 in a month. What was the interest rate, to the nearest tenth? 2.)you are due a tax refund of $760. your tax preparer offers you a no-interest loan to be repaid by your refund check, which will ...
*March 15, 2011 by math i have a few questions.hepl pls ty*

**Functions**

what is the oblique asymptote of this rational function: (x ^ 3) / (x ^ 2+1)
*April 18, 2013 by Lg*

**Reiny and steve do this for me please**

1. Consider the functions f(x)=1/(x)+4 and g(x)=2/(x). Graph f and g on the same grid. a) Determine the points of intersection of the two functions. b) Show where f(x)<g(x). c) Solve the equation 1/(x)+4=2(x) to check your answer to part a). d) Solve the inequality 1/(x)+4&...
*December 16, 2013 by Joan*

**Math - Simple rational Function (check)**

Consider the function f(x) = x/(x-1) Are there any turning points? Explain how this could help you graph f(x) for large values of x? Ans: turning points is another word for checking the concavity, and therefore i find the second derivative and equate it to zero and see where ...
*October 25, 2010 by Anonymous*

**Algebra**

After solving a rational equation, why is it important to check your answer? How is this done? What happens if you are checking a solution for the rational expression and find that it makes one of the denominators in the expression equal to zero?
*October 6, 2011 by Hazel*

**algebra**

after solving a rational equation, why is it important to check your answer? How is this done? What happens if you are checking a solution for the rational expression and find that it makes one of the denominators in the expression equal to zero?
*January 26, 2012 by debby*

**Algebra II**

Give the equations of any horizontal asymptotes for the graphs of the rational functions. h(x)=(7x²-8x-5)/(8x²-3x+9) g(x)=(x²+4x-8)/(x-8)
*July 6, 2011 by CC*

**Algebra II**

Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(x-4)/(x²+7)
*July 6, 2011 by Reanna*

**Algebra II**

Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(3x³+6x-6)/(x²+3x-10)
*July 6, 2011 by Reanna*

**Algebra II**

Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(x-4)/(x²+7)
*July 7, 2011 by Matt*

**Check my CALCULUS answers please! **

Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t 9. Which of the following functions grows the ...
*October 7, 2013 by Samantha*

**Pre-Calc-Please check**

Is this correct? Using Rational Roots Theorem, list all possible rational root of f(x) = 2x^3 - 3x^2 + 5x+6 Possible roots are p/a = -+1, -+2, +-3, -+6. -+3/2
*January 10, 2012 by Julia*

**math rational comparing #'s**

can you check: < > = -2/9 > -4/9 -1/6 > -2/3 -5/12 > - 3/4 -1 < - 1/3 -5/6 = -10/12 -1/8 > - 1/2 -1.2 > -2.1 -0.6 < -0.52 -1.23 < -1.25 -0.53 < -5.333 -3 1/4 = -3.25 -4 2/5 < -4.12 are these right?
*December 8, 2011 by marko *

**advanced functions**

simplify the rational expression x^4+3x^3-2x^2-6x/x^3-2x stating all restrictions on the variable.
*July 30, 2010 by tim*

**Algebra**

Using the index of a series as the domain and the value of the series as the range, is a series a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? Which one of ...
*October 29, 2006 by V*

**math**

x+4/2x*6x^2/x^-16= (x+4)/2x*6x(x)/(x+8)(X-8) rational expression using factoring could some check this.
*May 22, 2010 by Anthony*

**Math**

Why is it necessary to perform a check when solving rational equations?
*August 5, 2010 by Jayde*

**Math Check**

The only inequalities where I have to check the values between the points are polynomial and rational inequalities, right? And not any other type of inequalites By Checking I mean to know which way to shade on a graph Just making sure
*September 28, 2010 by Amy~*

**Math(dispute to previous question)**

2)Name the sets of numbers to which 457 belongs. (answer)natural,whole,integers,rational,reals My book says that every REAL number has to be rational or irrational. Blueridge said that my answer was correct except to exclude rational from my list. From what my book says I HAVE...
*February 24, 2008 by Jon*

**algebra functions**

can someone please check my answer For each problem, construct two composite functions, . Evaluate each composite function for x=2 f(x)=3x g(x)=1/x f(g)*(x)=3x(1)/x x=2 3x(1)/x=6 g(f)*(x)=(3x)=2*3x=6 x=2 3*(2)=6*6=36
*October 17, 2013 by tani*

**algebra functions check my answer**

For each problem, construct two composite functions, . Evaluate each composite function for x=2 f(x)=3x g(x)=1/x f(g)*(x)=3x(1)/x x=2 3x(1)/x=6 g(f)*(x)=(3x)=2*3x=6 x=2 3*(2)=6*6=36
*October 17, 2013 by tani*

**Functions in Math**

Im looking at internet sites and Im not quite understanding functions. I have a question like; A function f(x) has the properties i) f(1) = 1 ii) f(2x) = 4f(x)+6 Could you help me out. I know nothing about functions.
*October 15, 2007 by Lena*

**algebra**

List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). (Enter your answers as a comma-separated list.) S(x) = 6x4 − x2 + 6x + 12
*June 25, 2011 by kelley*

**Math**

What is an example of two functions that intersect at least twice in the first quadrant but can neither be a polynomial or a "simple" function (i.e., sin(x), e^x)?
*April 9, 2011 by Joe Schmo*

**Math(Please Check)**

Problem: 4x/(x+2)-8/(x-1) What I Got: 4x^2-4x-16/(x+2)(x+1) *I had to simplify the rational expression No. At x=0, it doesn't check. The starting problem gives 8, your answer gives -8. I suspect a sign error somewhere. Probably in the denominator, the x+1 should be x-1
*March 5, 2007 by margie*

**rational functions**

If f(x) is a polynomial function, does 1/f(x) always have a horizontal asymptote? Explain why or why not and provide a counterexample if needed.
*May 2, 2009 by Anonymous*

**math**

HELP. Help I have to decide whether these are rational or irrational. .73737373... .61611611161111..... 1/23 Can someone explain this to me? Rational numbers are just fractions. The decimal expansion of fractions will either terminate or it will become periodic after a while. ...
*May 6, 2007 by Kimberly*

**9th grade**

Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above my answer a)rational numbers
*September 20, 2010 by Ross*

**Pre-Calc-Please check**

I have three questions: 1. What is the remainder of (x^3 + 2x^2 - 5x+4) /(x-3) I think the answer is 34?? 2. Evaluate (4+5i)(2+2i) =4(2) +4(2i) + 5i(2) + 5i(2i) = 8 + 8i + 10i+10i^2(-1) =-2 + 18i 3. Using Rational Roots Theorem, list all possible rational root of f(x) = 2x^3...
*January 9, 2012 by Julia*

**Math - Rational Roots**

1.) What are the possible rational roots of the function f(x) = 3x^4 - x - 2 2.) What are the rational roots of the following equation: x^3 - 4x^2 - 4x +16 = 0 Thank you for any help!
*September 12, 2010 by Julia*

**Maaaaath**

When graphing rational functions, how do I know which directions the graphs go? Example, for equation y = 9/x - x, how would you graph this? Also, why is the horizontal asymptote for f(x)= 2+x / x-7 is 1 instead of 0?
*October 14, 2007 by Anonymous*

**math**

can someone check my answer on this one? rewrite with rational exponents: (sqrt5mn)^9 i got: 5^9/2m^9/2n^9/2 is this correct?
*November 5, 2010 by barb*

**English**

Read each sentence then write whether the sentence is simple or not simple My dog Buddy fetches the paper in the morning Simple The subway which runs under the city is a fast way to travel Not simple Cici sings in the school choir simple Jen talks on the phone and does her ...
*January 22, 2013 by Jerald*

**Math - Simple rational Function (check)**

A pollutant has been leaking steadily into a river. An environmental group undertakes a clean-up of the river. The amount of pollutant in the river after t years the clean-up begins is given by the equation N(t)=0.5t+(1/(10t+1)) a) What quantity of pollutant was in the river ...
*October 25, 2010 by Anonymous*

**math**

If a b c are non zero,unequal rational numbers then prove that the roots of the eqn (abc²) x²+ 3a²cx+b²cx-6a²-ab+2b²=0 are rational.
*July 7, 2014 by vaish*

**math**

which statement is false? A: 3.648 reapeating=is rational B:-3 2/13=rational
*February 15, 2013 by Taylor*

**Math**

Identify all sets to which the number 3 belongs A. Whole numbers, integers, rational numbers B. Rational numbers C. Integers, rational numbers D. Even numbers, whole numbers, integers, rational numbers I THINK IT'S A
*December 12, 2012 by Frances*

**Math**

Find all possible rational roots using the rational root theorem. x^4 - 3x^2 + 12 = 0 Plus/minus 1, 2, 3, 4, 6, 12?
*November 16, 2014 by Anonymous*

**advanced functions/precalculus**

1. The function f(x) = (2x + 3)^7 is the composition of two functions, g(x) and h(x). Find at least two different pairs of functions g(x) and h(x) such that f(x) = g(h(x)). 2. Give an example of two functions that satisfy the following conditions: - one has 2 zeros - one has ...
*January 15, 2014 by Diane*

**2 Math Questions**

1) What do you do to check whether a number is rational or irrational? Use an example of a rational and an irrational number. 2) How does finding the square root [√] of a number compare to finding the cube root [^3√] of a number? Use the number 64 in your ...
*November 6, 2014 by ABCDEFGHIJKLMNOPQRSTUVWXYZ*

**math,help,bobpursly**

What are some challenges for rational expressions? Also on my previous question about why are polynomials important bobpursly can you expalin it to me towards what you ment about your responce because i still do not undertand...thanks when you get a chance. Polynomials are ...
*March 5, 2007 by jas20*

**math help me!!**

is square root of 56 a rational number? explain uranswer using what you know about rational and irrational numbers. thnx alot!
*April 13, 2011 by alexis*

**6TH GR. ALGEBRA **

EXTENDING THE LESSON If you add any two rational numbers, the sum is always a rational number. So, the set of rational numbers is closed under addition. Is the set of rational numbers closed under subtraction. multiplication,and division also? Explain.
*December 16, 2009 by Amelia*

**algebra1**

I have a question does anyone have the Rational Expressions and Functions Unit Test questions and answers?? If you can you plzz help me out i am almost done
*May 19, 2014 by Tommy*

**Function compostions**

Sorry I had to repost, I left somethings out. Can you please check my answers? For the given functions f and g, find the indicated composition. 5. f(x)=7x+9, g(x)=2x-1 Find (f *g)(x) I got 14x+2 For the given functions f and g, find the indicated composition. 8. f(x)=-5x+3, g(...
*September 15, 2007 by Soly*

**math**

Which statement is true? A. All irrational numbers are also rational numbers. B. Half of the irrational numbers are also rational numbers. C. One-third of the irrational numbers are also rational numbers D. Irrational numbers cannot be classified as rational numbers. Is the ...
*September 26, 2014 by Anonymous*

**simple math check**

(1/2)(3x^2+5x+3)^(-1/2)(6x+5) when you plug in 5 for x.. do you get 1.72 because that what i get and then it says im wrong.
*April 29, 2008 by John*

**Calculus**

Find the sum and difference functions f + g and f – g for the functions given. f(x) = 2x + 6 and g(x) = 2x - 6 f(x) = x^2 - x and g(x) = -3x + 1 f(x) = 3x^3 - 4 and g(x) = -x^2 + 3 State the domain and range for the sum and difference functions in #3. Find the product and the ...
*September 2, 2013 by Bee*

**math**

List all possible rational zeros of... h(x)= 2x to the (4th power) - 5x (to the third power) + 3x (to the 2nd power) + 4x - 6 Use the Rational Roots Theorem. Any root of the form p/q with p and q relatively prime must be such that p divides 6 and q divides 2. You then find the...
*May 21, 2007 by Kate*

**math **

is it true that you only have to check your solution in a rational equation if the solution is 0?
*September 27, 2012 by Matt*

**Math**

Rational Equation, how do you work it out I need to check my work. x 1 x — - — = — 2 3 4 I got 4 — 3
*April 21, 2014 by Sadie*

**Math(Please check)**

Find the domain of the following rational function. R(x) = -3x^2 / x^2 + 2x - 48 (x+8)(x-6) So the domain is x cannot be 8 or -6. Am I correct?
*November 4, 2010 by Hannah*

**Math(Please check)**

Find the domain of the following rational function. R(x) = -3x^2 / x^2 + 2x - 48 (x+8)(x-6) So domain is x cannot be 8 or -6. Am I correct?
*November 4, 2010 by Hannah*

**Math**

Which statement is false? A. The number zero is a rational number. B. Some irrational are also rational numbers. C. Every irrational number is a real number. D. Every integer is a rational number Is the answer C?
*October 17, 2014 by happy*

**Math**

What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and a rational number. How does finding the square root of a number compare to finding the cube root of a number? Use the number 64 in your explanation
*December 15, 2014 by HELP MEEEEE *

**Math answer check**

Determine the type of number that the solutions of x^2 +5x+3=0 will be I have the answer as rational is that right?
*November 9, 2008 by Shawn*

**discrete math**

1)prove that if x is rational and x not equal to 0, then 1/x is rational. 2) prove that there is a positive integers that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive? For 1) use the definition of a non-zero rational ...
*September 28, 2006 by thisha*

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