Sean

This page lists questions and answers that were posted by visitors named Sean.

Questions

The following questions were asked by visitors named Sean.

Jim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together? The answer is 15 minutes. But how? Figure the rate each can fill the...

I am supposed to do an essay on compartmentalization of cell respriation but i don't know what it means. my essay is as follows: Compartmentalization is important in carrying out cell respiration. Describe the use of compartmentalization in carrying out c...

What are the 5 characteristics of all living things? What do all living things need?

What is a first person point of view?

Find g(f(x)) Where f(x)=2x^2-1

Find g(f(x)) and f(2g(x)) where f(x)=2x^2-1 and g(x)= the absolute value of x-1

The distance between two telephone poles is 50.0 m. When a 1.00-kg bird lands on the telephone wire midway between the poles, the wire sags 0.200 m. Draw a free-body diagram of the bird. How much tension does the bird produce in the wire? Ignore the weigh...

y = *The Integral Of sin(4e^t)dt* a = 0 b = ln(2x) I'm supposed to find the derivative of y with respect to x. Except I just can't find the right answer.

Find the exact solutions to each equation for the interval [0,360) 2cosx-secx = 1

X Y -2 5 -1 10 0 15 1 20 2 25 Write an equation that explains the relationship between the average X and average Y.

Derivative of Inverse Trigonometric Functions f(x) = sin(arccos(4x)) What is f'(x)?

how do i calculate theoretical yield?

What is the total moles of ions in 500 mL of 0.120 M Ca(NO3)2? how would i calculate this? thanks.

(24cos(8x))/(1+(sin^2(8x))) Integrated from (pi/16,-pi/16

How would I integrate (4dt)/(sqrt(15-2t-t^2)) That thing has me stumped.

How would I find the Integral of 3dx/(10x^2-20x+20) I've been stuck on this, and would like an answer ASAP.

My Calculus class just started Partial Fractions, and I understand MOST of it. I'm having a slight problem though, when either C, or C and D come in. I understand A/(something) + B/(something) But I become confused when it's either A/(something) + B/(some...

What is the indefinite integral of: (12sin(3x)cscx)dx If I could have two things given to me please, I'd be grateful. The two things are: 1) Trick/Technique to Use 2) First 2 or 3 steps Thanks in advanced.

What is the integral of arctan x?

A basketball is thrown horizontally with an initial speed of 4.20 m/s. A straight line drawn from the point to the landing point makes an angle of 30.0 with the horizontal. what was the release height?

On a hot summer day, a young girl swings on a rope above the local swimming hole. When she lets go of the rope her initial velocity is 2.25m/s at an angle of 35.0 above the horizontal. If she is in flight for 0.616sec, how high above the water was she whe...

What is the integral of 7e^(7t) Divided By e^14t+13e^7t+36 Using partial fractions

How would you find the Integral of (cos(x\8))^3, defined from -(4 x pi)/3) to (4 x pi)/3)

I know I've probably flooded the site or something (Sorry if I have), it's just that these problems aren't similar to anything I've reviewed in class. I've got two more questions, then maybe 1 or 2 more coming. That's all I can see in the future, anyhow....

Integral of (dt/[sqrt(t)+25tsqrt(t)]} From 1/75 to 3/25 I'm at a complete loss at what to do.

I'm supposed to find the expression 'y', when (x^2+100)y'=23 When y(10sqrt(3))=0 Also, I have to find the indefite integral of xsqrt(19x-7), using integration tables in the back of the book "Calculus of a Single Variable, 8th Edition." Tables are in appen...

Here's my first question: (FIrst part courtesy of Count Iblis) Integral of x sqrt(19x-7)dx ? Write the integral in terms of functins you do know the inegral of. Rewrite the factor of x as follows: x = 1/19 (19 x) = 1/19 (19 x - 7 + 7) = 1/19 (19 x - 7) +...

Evaluate the limit as x -> Infinity [5x-sqrt(25x^2+4x)] Direct substitution yields the indeterminate form Infinity - Infinity. Apparently, according to text book, I have to change that mess into something I can use L'Hopital's Rule on. Except the only exa...

Can someone provides me a fews website on this topic: Discuss the transformation from agriculture to industrial of United States from 1865 -1940. I using google to search but I couldn't find information about it. Thanks

what conclusion can be drawn about the puritan population based on the description of the crowd gathered at the prison?

what was hester's crime and punishment?

what is the effect of the "dame of fifty" being the first to introduce hester to the readers?

I came across this problem in my homework, and I was wondering if partial fractions would be rational for this problem. Int [(2x)/((x^2)^2)]dx If I don't use partial fractions, what would I use?

I am taking an AP class for the first time. How does this differ from regular classes and what should I expect. (11th grade)

What questions should I ask Andrew Jackson if I were to interview him about his presidency?

300 exercise books are arranged into 3 piles. The first pile has 10 more books than the second pile. The number of books in the second pile is twice the number of books in the third pile. How many books are there in the third pile?

PLEASE HELP.I am sorry. I posted the question wrong earlier this evening. Instead of 300 it should have read: 3000 exercise books are arranged into 3 piles. The first pile has 10 more number of books than the second pile. The number of books in the second...

drwl,thanks so much for your help. You are right I do not understand the method that you used. I was trying to do it the way you described before giving me the answer and it was not working.

Given the axioms: ln x = definite integral from 1 to x of 1/t dt ln e = 1 Given the theorems: ln a^r = r * ln a (for all real numbers r) ln e^x = x * ln e = x Prove that e^(ln x) = x Intuitively, I can see that is true, but how can it be proved?

Limit as n approaches infinity: [(n + 3)/(n + 1)]^n How do I even start this?

Limit as x approaches infinity of (2^n + 3^n)^(1/n)

If there is a recursively defined sequence such that a<sub>1</sub> = sqrt(2) a<sub>n + 1</sub> = sqrt(2 + a<sub>n</sub>) Show that a<sub>n</sub> < 2 for all n ≥ 1

Where does this infinite series converge: Sigma (k = 1 to infinity): 1/(9k^2 + 3k - 2)

Convert this series to closed form: Sn = ln(1 - 1/4) + ln(1 - 1/9) + ln(1 - 1/16) + ... + ln(1 - 1/(n + 1)^2) ----------------------------- I would guess the first step is this: e^Sn = (1 - 1/4) * (1 - 1/9) * (1 - 1/16) * ... * (1 - 1/(n + 1)^2) But how t...

When a sample is above critical temperature and above critical pressure, it is a supercritical fluid. What happens when a sample is above critical temperature but below critical pressure? What phase is that? What happens when a sample is above critical pr...

What does the following infinite series starting at k=2 converge to: Σ ln (1 - 1/k^2) In other words, what does this converge to: ln(1 - 1/4) + ln(1 - 1/9) + ln(1 - 1/16) + ln(1 - 1/25) + ln(1 - 1/36) + ... I assume the first step is this: Σ ln (1 - 1/k^2...

Which of the following is a Lewis acid? (For polyatomic species, consider the Lewis acid behaviour of the central atom). a. ) NH3 b. ) F- c. ) H2O d. ) PF5 e. ) BF3

How can I prove that sqrt(x) > ln x when x > 0? I can quickly see this graphically and intuitively, but how do I do a proof?

If Σ 1/k^2 from k=1 to infinity = pi^2/6 Use that to show that Σ 1/(2k-1)^2 from k=1 to infinity = pi^2/8

limit of (10^n)/(n!) as n->infinity The answer is zero. Can you prove it?

y = (1+x)/(1-x) How do I rearrange that equation to be: x = (y-1)/(y+1)

Can someone prove (informally) the following theory: If there is a differentiable function, f, that is represented by a Taylor series, T, then the convergence interval for series T is identical to the convergence interval for the term-by-term derivative T...

Obtain the MacLaurin series for 1/(2-x) by making an appropriate substitution into the MacLaurin series for 1/(1-x). ------------ The MacLaurin series for 1/(1-x) = Σ x^k I substitue (x-1) in for x, because 1/(2-x) = 1/(1-(x-1)) Making the same substituti...

I want to get the first four terms of the expansion of this expression (x - x^3/3! + x^5/5! - x^7/7!)^2 I already got the answer: x^2 - x^4/3 + 2x^6/45 - x^8/315 However, I believe I went the long manual route. What's the shortcut to this kind of expansio...

why do you think such communities get little attention from the U.S. mass media ?

Are you surprised that such poverty exists in the US

A raffle is being conducted with 50 tickets to be sold - one per customer. There are three prizes to be awarded. If the four organizers of the raffle each buy one ticket, what is the probability that the four organizers win: a) all of the prizes? b) exact...

Cars arrive at a toll booth according to a Poisson process with mean 80 cars per hour. How long can the attendant's phone call last if the probability is at least .4 that no cars arrive during the call. The book's answer is 23 seconds. That doesn't match...

Given that lim x-> +infinity of (1 + 1/x)^x = e Show that lim x-> +infinity of (1 + k/x)^x = e^k

why understanding how to use a map is important?

---LINEAR TRI-SYSTEM--- Please explain how to do this problem because I already have the answer as (0,4,-2) 5x+y-z=6 x+y+z=2 3x+y=4

Can someone use mod to prove that 10^(3n + 1) cannot be represented as the sum of two cubes. And make it very detailed please.

I want to self-study Fourier Transforms followed by signal analysis and Wavelets. I am considering buying the books: "Fourier Analysis: An Introduction" and "A First Course in Fourier Analysis". My question is, are these at my level or are they over my he...

How would I calculate the definite integral of e^(-k/2*x^2) dx over the interval of (0,+∞) I know the answer is sqrt(pi/(2k)), but how would I get that?

how do I find all real solutions of this quadratic equation. w^2 = 3(w - 1)

A square plot of land has a building 60ft long and 40ft wide at one corner. The rest of the land outside the building forms a parking lot. If the parking lot has area 12,000ft^2, what are the dimensions of the entire plot of land? The answer is 120ft by 1...

Candy and Tim share a paper route. It takes Candy 70min to deliver all the papers, and it takes Tim 80min. How long does it take the two when they work together? The answer is 37min and 20s. Here's what I have. 7/6t + 8/6t = 15/6 I have t = 5/2. I don't t...

If one person can finish mowing a field in 4 hours and another person can finish mowing a field in 8 hours. How long do you think it'll take to finish mowing the field if they work together?

What is the importance of the "plains"?

We can actually use the Zeros Theorem and the Conjugate Zeros Theorem together to conclude that an odd-degree polynomial with real coefficients must have atleast one real root (since the non-real roots must come in conjugate pairs). But how can we get the...

Can someone please answer my question on this paragraph from my physics book regarding basic aerodynamics: "Now we consider a spinning baseball moving through the still air. As the ball spins, it tends to drag air around with it. If the streamlines are cu...

14. Which of the following wavelengths will produce standing waves on a string that is 3.5 m long? a. 1.75 m b. 3.5 m c. 5.0 m d. 7.0 m

For any constant c, define the function f_c(x)= x^3+2x^2+cx. (a) Graph y = f_c(x) for these values of the parameter c: c = -1, 0, 1, 2, 3, 4. What are the similarities and differences among the graphs, and how do the graphs change as the parameter increas...

Please help asap REPETITION- occurs when a line or a sequence of lines appears more than once. ASSONANCE-is the repetition of the same or similar vowel sounds in a series of words, usually words with different consonant sounds. Read the poem, then answer...

hi can anyone help me with this paper? this is the basis of the paper I. Statement of Aristotle’s Metaphysical Proposal A. Aristotle’s argument in favor an Absolute Being B. Nature of Aristotle’s Absolute C. The relation of his Absolute to the realm of ma...

A sphere of radius 10 cm is charged to a potential of 500V. Calculate the outward pull per unit area. Ans: 1390 * 10^-8 N/m^2 -------- I'm sure the calc is simple, but how do I calculate "outward pull" from voltage?

A negative charge -Q is placed inside the cavity of a hollow metal solid. The outside of the solid is grounded. Q: Is there any excess charge induced on the inner surface of the piece of metal? A: Yes, +Q Q: Is there any excess charge on the outer surface...

What does d(4) mean? What is it?

What substitution could I use to integrate a/(a^2 + x^2)^3/2 dx

a red car and a green car, identical except for the color, move toward each other in adjacent lanes and parallel to an x axis. At time , the red car is at and the green car is at . If the red car has a constant velocity of 20 km/h, the cars pass each othe...

List the possible rational roots of the following equation x^4+3x^2-8x+10=0

What is the wavelength of the radio waves broadcast by an FM radio station with a frequency of 90.5 MHz?

A buffer contains 1.0mol CH3CO2H and 1.0mol CH3CO2^- diluted with water to 1.0L. How many moles of NaOH are required to increase the pH of the buffer to 5.10? (pKa oof Ch3CO2H=4.74)

A 20.0-mL sample of 0.20M sodium acetate is titrated with 0.11M HCl(aq). What is the pH after the addition of 50.0-mL HCl(aq)? (Kb of CH3CO2 = 5.6x10^-10)

All of the following apply to the reaction A(g)+B(g)<==>C(g) as it is carried out at constant temperature in a rigid container EXCEPT: A)The total pressure decreases B)The rate of reaction decreases C)The entropy of the system decreases D)The number of mo...

For the burning of propane C3H8(g)+SO2(g)<==>3CO2(g)+4H2O(g) which of the following is true at and temperature: i./\G<0 ii./\S>0 iii./\H<0 */\ is a triangle*

What mammal order has the dental formula 205/105?

In a well-written, thoughtful response of at least one page, reflect on one of the stories "The Jilting of Granny Weatherall" or "Chrysanthemums." YOur response might make a personal connection to one of the stories, might make connections between the two...

A boy sledding down a hill accelerates at 2.00 m/s2. If he started from rest, in what distance would he reach a speed of 5.20 m/s?

A pellet gun is fired straight downward from the edge of a cliff that is 17 m above the ground. The pellet strikes the ground with a speed of 29 m/s. How far above the cliff edge would the pellet have gone had the gun been fired straight upward?

I still need help with this please.two knights on horseback start from rest 62 m apart and ride directly toward each other to do battle. Sir George's acceleration has a magnitude of 0.17 m/s2, while Sir Alfred's has a magnitude of 0.30 m/s2. Relative to S...

What happens when magnesium is added to Maleic and Fumaric acid? What gas is released from this reaction? I was also wondering if their are any differences between how each acid reacts with the magnesium because one is cis and the other trans. What happen...

200 centimeters =_?_ meters? 300 centimeters = _?_ meters?

A fraction greater than 1/8 and less than 1/4 is in simplest form and denominator is 4 more than its numerator...what is the fraction?

A 1.24 kg block is held against a spring of force constant 1.0 104 N/m, compressing it a distance of 0.29 m. How fast is the block moving after it is released and the spring pushes it away?

X is less than or equal to 4. OR X is greater than or less than 10. Is it a segment, line, or one or more rays?

Why does a balloon burst if you keep on blowing?

What would be the appearance of the speed-time curve if the fallng body where so light that the effect of air friction could not be neglected?

2.Using the kinematic equations, prove that if two balls are released simultaneously from a table, one with zero velocity and the other with a horizontal velocity Vox, they will both reach the ground at the same time.

1. What do we mean when we say that the motion is relative?

Answers

The following answers were posted by visitors named Sean.

I am supposed to do an essay on compartmentalization of cell respriation but i don't know what it means. my essay is as follows: Compartmentalization is important in carrying out cell respiration. Describe the use of compartmentalization in carrying out c...

(1) seven suits can be made (2) 29/85 yards of fabric remains

Thanks. The next question I have is pretty similar. f(x) =cos(arcsin(2x)) Find f'(x)

passive voice (helping verb + infinitive....i.e. are overshadowed) tends to make writing weaker. if you can, try to change it to just the verb (rearranging the sentence may help). also, "the well-being of humans are overshadowed" isn't gramatically correc...

The radius is Half of the Diameter. So you would do 8/2 = 4 r=4

Thank you. That made it so much simpler.

There's my problem. I just can't factor the bottom.

Oh. Okay thanks. Thank you so much. If it's not to much... How would I integrate (4dt)/(sqrt(15-2t-t^2)) That thing has me stumped.

Reiny. You misunderstood. And I didn't word it right. I meant where does (Cx + D)/Something Pop up?

Wow. I'm making this topic last a while. I think- and this is just out loud- that you would do (Cx + D) Over the X^2 + 2? Am I getting that right? OR You have Cx + D over something if the SOMETHING has a term of X to a power greater than one?

Out of curiosity, where did the 'i' come from, and what technique did you use? Also, how did you write sin(3x) In terms of sin(x)?

Sorry. I lied. Misread the question. What is the indefinite integral of arccot(4x) ?

Thank you so much.

I've reached the last step of (7/5) ln((x+4)/(x+9) But how do I substitute the variable 't' back in?

Its actually supposed to be (cos(x/8))^3. With what Anonymous answered, I see he left out the x/8, instead only using x. Would you, Drwls, mind using x/8?

I can follow everything except when you change the (4 x pi)/3 to pi/6, and change pi/6 into 1/2. Could you clear that up for me?

Oh. Thank you, Damon, and Drwls. That really helped me out.

I don't quite get how you did the first one. Mainly the cos(1/2 x)

I got the first one, thanks for that. But on the second one, are you saying that x=(1/19)*(19x-7)+(7/19)? If so, would I just multiply the entire thing out, or what?

Thank you so much. You cleared that up really well. Thank you.

L'hopital is If the limit as x goes to (thing) of f(x)/g(x) is equal to an indeterminate form, lim as x goes to (thing) of f(x)/g(x) is equal to lim as x goes to (thing) of f'(x)/g'(x). Damon's answer confuses me.

Thanks, that cleared it up for me!

I messed up. I meant (x^2+1)^12

Haha, I definitely notice the amount of reading we are required to do. Since I wasn't there for the first two days of school, I have to make it up by reading 40 pages!

Wow, thanks for the help! Your effort is useful.

Thanks so much Iblis. Makes perfect sense!

Answer is e^2. lim (n -> infinity) of [(n+3)(n+1)]^n = lim (n -> infinity) of [1 + 2/(n+1)]^n e = lim (x -> infinity) of [1 + 1/x]^x e^2 = lim (x -> infinity) of [1 + 2/x + 1/x^2]^x

wow, I'm very impressed! Thanks so much Iblis!

You prove that the sequences converges to 2, but you don't necessarily prove that it will never exceed 2... Thanks for the great help though

You are absolutely correct. Thanks so much for the help on this! I'd love to pay you guys back for this service :)

subtract 1/3 from both sides 4/x = 2 - 1/3 = 5/3 multiply both sides by 3x/5 12/5 = x

1,2,3 are correct. It looks like you skipped an equal sign in the second equation in 4.

52/3, 52/3, 52/3 Product is 5,207.7037

That looks like a separable first-order differential equation rather than calc 2, but here goes: (separate both variables) P^-2 dP = k dt (integrate both sides) -1/P = kt + C P = -1 / (kt + C) Po = -1 / C C = -1 / Po P = -1 / (kt + -1/Po)

1/2 = 1 divided by 2 = 0.5 (times 100 to convert to %) = 50% 2/3 = 2 divided by 3 = 0.66666 (times 100 to convert to %) = 66.67% does that make sense?

There are 64 possible codon permutations since there are three nucleotides of 4 four possible values (4^3 = 64). That includes duplicates (codons that code for the same amino acid) and unused codons as well. There are fewer effective codon permutations.

I'd like to help, but I'm not sure what you mean by "doing radical expressions"...

Thanks Reiny! I couldn't factor that polynomial. Once there, the rest follows the book example Each term in the sequence: 1/(9k^2 + 3k - 2) = 1/((3k+2)(3k-1)) = 1/3*(1/(3k-1) - 1/(3k+2)) When you take a sum of those terms, it's a telescoping series where...

You are right Reiny. I got a little sloppy there and missed that.

Noble gas atoms rarely react with other chemicals and form compounds. When they do, the resulting compounds are usually unstable and do not last. Some larger noble gases (specifically Krypton and Xenon) do form certain stable compounds.

a) 88. Worst case: draw 29 of two colors before drawing 30 of the third color. b) 210. Worst case: draw all 100 of two colors, and then draw ten of the third color.

Fourth root is the same as to the 1/4th power, just like square root is the same as to the 1/2th power. Answer is: 16x^2 * y * z^4

So, you are assuming a true population with a normal distribution of 0.4; 0.023) A) Convert 0.45 to a Z score: (0.45 - 0.40) / 0.023 = +2.17 Look up on a z-table chart. Greater than +2.17 yields .0150 = 1.5% B) <= 0.35 has the exact opposite Z score: (0.3...

Forgot C. That's probably obvious after you have A + B: C) 100% - 1.5% - 1.5% = 97%

Thanks so much Reiny! That's the right answer. I've been struggling with it for a few hours. Here's a slightly different route to the same answer: S<sub>n</sub> = Π (1 to n) of (1 - 1/(k + 1)^2) = Π (1 to n) of (k^2 + 2k)/(k + 1)^2 Since Π of X * Y = Π X...

That's e^S<sub>n</sub>... Not S<sub>n</sub>...

Ah, thanks! Makes perfect sense

Don't know why the options didn't show. they are NH3 F- H2O PF5 BrF3

Thanks for the headsup. Yeh I have drawn the Lewis structures. How do I know which ions can accept electrons? Does that mean it has a unpaired electron?

That works. Thanks so much!

Ah, thanks so much. My mind is working slowly today :)

Nevermind. I can now understand this at an intuitive level and a more formal proof isn't necessary.

Thanks so much! I can't read your symbols, but I can make out what you are doing and it results in the right answer.

Thanks! You guys are awesome. I would tip for this service if I could. The book's question was to get the first four terms of sin^2(x). Makes perfect sense.

The question was in the book. It was talking about Las Colonias "America's Third world"

Thank you for helping me

No I’m not surprised that poverty exists in the United States because some people have very low income.

I know the fundamental formulas and their derivations really well. This problem demands a more complicated application that I'm struggling with...

that looks correct

Maybe the book is wrong? Thanks for giving it a shot

OK, the book is definitely wrong. I emailed the author. At least I'm understanding the material correctly. Thanks!

BTW, author of book confirmed correction and will fix in next printing.

Makes sense. Thanks Count!

When k is an integer sin(x) = (sin x + 2k*pi) set k=2 and... sin(-27pi/6) = sin(-27pi/6 + 2*2*pi) = sin(-27pi/6 + 24pi/6) = sin(-pi/2) = -1

The 28 and 37 counts are overlapping. People who speak both languages are double counted... numEnglishSpeakers + numSpanishSpeakers - numBothSpeakers + numSpeakNeither = 50 28 + 37 - both + 5 = 50 both = 20

Hey, Your ANSWER is corrupt, cause it doesnt really explain anything! Try to make it more clear. SY

it's due in two days, lol SY

Thanks so much for the response. I ordered the books. I bought two books in case one isn't a good fit. My main concern was that there is some other theoretical prerequisites that I'm not aware of that I should be studying before diving into Fourier analys...

the answer i provided was from the back of the book.

how did you get 3(route)/112 ?

yeah I did mine wrong. Hopefully I'll get partial credit on the test.

This sounds like a trick question. If the standard deviation of the answer from the general population is 16, then the variance is σ<sup>2</sup>, which is 256.

What are the similarities and differences?

So what does the derivative of the f(x) have to do with the graphs? Or is the derivative part of the main question: define the function f with the formula? And what would be the similarities and differences of the graphs? And if you increase c then does t...

What kind of similarities and differences is it asking for?

So then there are no similarities? And the differences are the shapes and the distinct roots, max and min?

Okay thank you very much

Is this the correct answers? 1-1 and 5 2-soaked, croaked 3-named, blaze 4-soaked, croaked 5-first,filly 6-which,filly

Thank you so much

Forget it... Inside the cavity of a charged metal object (such as a sphere or cylinder), there is no net field. The net field exists only on the outside. That explains it.

It has something to do with functions. We are working on this in a 9th grade ACC Math class

Computer program says the answer is x/(a*(a^2 + x^2)^(1/2)) which is slightly different from your answer. Thanks so much for the help on this one. I was really stuck.

I did x = a tan u dx = a (sec u)^2 du int of a/(a^2 + x^2)^3/2 dx = int of (a sec u)^2/(a^2 + (a tan u)^2)^3/2 du = int of (a sec u)^2/(a sec u)^3 du = int of (cos u)/a du = (sin u)/a + K since u = atan (x/a) = x/(a*(a^2 + x^2)^(1/2)) + K Thanks again...

A Squared + B squared = C squared

i still don't understand how to write this equation

i don't understand the d1/d2=a1/a2.

so you set it up like the following? d1*.30=(62-d1).17 It has been several years since I had algebra and it should be common sense but how do I get the d1 by itself?

Pthagorean theorem: square root of (6*6+8*8) is 10.

(x,8) and (6,-16) can you give me the answer that's all I need thanks

Where a and b are integers 3 + 13*a = x 3 + 14*b = x Subtract one line from the other: 14*b = 13*a smallest integers that satisfy that are 14, 13. so: 3 + 13*14 = x 3 + 14*13 = x x = 185

You are awesome Iblis. That limit was the tricky part. I followed your proof and it makes perfect sense. Thanks

I meant that summation was the tricky part (not limit). thanks again.