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  • MarkFL's Avatar
    Yesterday, 08:21
    It looks like you are wondering for what values of $n\in\mathbb{N}$ is the following true: n^2+n^3=n^4-n^2(n-1) Divide through by $n^2\ne0$: ...
    2 replies | 45 view(s)
  • MarkFL's Avatar
    September 15th, 2017, 23:44
    MarkFL replied to a thread x^3 = sqrt{81} in Pre-Calculus
    I much prefer $\LaTeX$...it looks a lot better, can be quoted, and seen in the "Topic Review" element. You can fix the last issue by attaching the...
    5 replies | 97 view(s)
  • MarkFL's Avatar
    September 15th, 2017, 23:22
    MarkFL replied to a thread x^3 = sqrt{81} in Pre-Calculus
    You're actually missing two roots of the equation: x^3=\sqrt{81} Write as difference of cubes: x^3-\left(3^{\frac{2}{3}}\right)^3=0 ...
    5 replies | 97 view(s)
  • MarkFL's Avatar
    September 15th, 2017, 14:12
    The difference is primarily if you need to change the prices, you only need to change the value of the variables, rather than change every expression...
    7 replies | 1804 view(s)
  • MarkFL's Avatar
    September 15th, 2017, 09:26
    That's a right answer, not the right answer. Personally, I prefer using variables rather than hard coding values in expressions. ;)
    7 replies | 1804 view(s)
  • MarkFL's Avatar
    September 14th, 2017, 00:59
    MarkFL replied to a thread [SOLVED] 15.3.65 rewriting dbl int to infnty in Calculus
    You've got an integrand in terms of $x$ and $y$, and differentials in terms of $r$ and $\theta$...can you state the problem exactly as it was given...
    4 replies | 83 view(s)
  • MarkFL's Avatar
    September 14th, 2017, 00:03
    MarkFL replied to a thread Hurricane Irma in Chat Room
    I'm fine...I and my family took measures to be prepared and stay safe. I got my power back early this afternoon. My sister suffered minor damage to...
    10 replies | 325 view(s)
  • MarkFL's Avatar
    September 13th, 2017, 23:09
    MarkFL replied to a thread [SOLVED] 15.3.65 rewriting dbl int to infnty in Calculus
    What is the problem, exactly as given?
    4 replies | 83 view(s)
  • MarkFL's Avatar
    September 7th, 2017, 15:57
    I would use symmetry and known the area of a semicircle to write: ...
    3 replies | 100 view(s)
  • MarkFL's Avatar
    September 7th, 2017, 12:00
    MarkFL replied to a thread Hurricane Irma in Chat Room
    From CNN: The Dutch territories of Saba and Saint Eustatius as well in St Marteen have been “hit hard,” the Dutch PM Mark Rutte said in a...
    10 replies | 325 view(s)
  • MarkFL's Avatar
    September 6th, 2017, 15:17
    MarkFL replied to a thread Hurricane Irma in Chat Room
    Just wanted to post an update on the spaghetti models: This is good news for Florida, but bad news for South Carolina...however this is still...
    10 replies | 325 view(s)
  • MarkFL's Avatar
    September 6th, 2017, 10:30
    MarkFL replied to a thread Find P...2 in Pre-Calculus
    THis problem will provide both a good opportunity to develop your math skills, and to develop your $\LaTeX$ skills. If you're like me, you will learn...
    15 replies | 226 view(s)
  • MarkFL's Avatar
    September 6th, 2017, 09:58
    MarkFL replied to a thread Find P...2 in Pre-Calculus
    No, it is indicating difficulty on my end in reading plain text math. :)
    15 replies | 226 view(s)
  • MarkFL's Avatar
    September 6th, 2017, 00:27
    MarkFL replied to a thread Find P...2 in Pre-Calculus
    15 replies | 226 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 21:28
    MarkFL replied to a thread Find P...1 in Pre-Calculus
    Forum: Math Formulas (MathJax)
    13 replies | 197 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 21:20
    MarkFL replied to a thread Find P...2 in Pre-Calculus
    What I would is with: (x-h)^2+m^2(x-h)^2=r^2 Solve for $x-h$ and plug that into: y=m(x-h)+k to get the $y$-coordinates. Then solve the...
    15 replies | 226 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 15:31
    MarkFL replied to a thread [SOLVED] 232.q1.2c dbl int with abs in Calculus
    I=2\int_{0}^{1}\left(1-x\right)\int_{-2}^{3}\,dy\,dx=10\int_{0}^{1}\left(1-x\right)\,dx=5\left_0^1=5(2-1)=5\quad\checkmark
    5 replies | 99 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 12:17
    MarkFL replied to a thread Find Linear Equation in Pre-Calculus
    I was just speaking of what we would likely find in the real world...there is likely some limiting maximum and minimum yields we would find. But, we...
    13 replies | 196 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 11:49
    MarkFL replied to a thread Find Linear Equation in Pre-Calculus
    All we know is that when more than 100 trees are planted, the yield drops by 20 oranges per tree, but we don't know what happens if trees are remove,...
    13 replies | 196 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 10:01
    MarkFL replied to a thread Hurricane Irma in Chat Room
    From CNN: Hurricane Irma has strengthened into an "extremely dangerous" Category 5 storm, the National Hurricane Center said, threatening to slam...
    10 replies | 325 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 02:20
    MarkFL replied to a thread Find P...2 in Pre-Calculus
    No, I made a substitution...
    15 replies | 226 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 02:18
    MarkFL replied to a thread Find Linear Equation in Pre-Calculus
    Do we know what happens if less than 100 trees is planted? Can we have a negative yield?
    13 replies | 196 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 02:15
    MarkFL replied to a thread Find P...1 in Pre-Calculus
    I would suggest looking at the sticky threads in our "Math Formulas (MathJax)" forum, so you can avoid using an awkward mix of text and $\LaTeX$ in...
    13 replies | 197 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 01:54
    MarkFL replied to a thread Find Linear Equation in Pre-Calculus
    Looks good to me. Should we give a domain for the yield function?
    13 replies | 196 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 01:30
    28 replies | 353 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 01:25
    MarkFL replied to a thread [SOLVED] 232.q1.2c dbl int with abs in Calculus
    We are given: I=\int_{-1}^{1}\int_{-2}^{3} 1-|x|\,dy\,dx Now, since the integrand is a function of $x$ only, we can write: ...
    5 replies | 99 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 00:57
    MarkFL replied to a thread [SOLVED] 232.q1.2c dbl int with abs in Calculus
    The integrand is an even function, and the $x$ limits are symmetric, so apply the even function rule to remove the absolute value...:)
    5 replies | 99 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 00:50
    28 replies | 353 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 00:48
    MarkFL replied to a thread Find P...1 in Pre-Calculus
    You want to first simplify the slope: ...
    13 replies | 197 view(s)
  • MarkFL's Avatar
    September 5th, 2017, 00:01
    When you reach this point, then you should observe that you have a problem...can you identify the problem?
    3 replies | 59 view(s)
  • MarkFL's Avatar
    September 4th, 2017, 23:58
    The easiest way is to first click the \sum button on the editor toolbar, and once you click that the tags will be added to your post content at the...
    28 replies | 353 view(s)
  • MarkFL's Avatar
    September 4th, 2017, 23:49
    MarkFL replied to a thread Find P...1 in Pre-Calculus
    Yes, we have: m=\frac{\sqrt{x}-1}{x-1} Can you simplify this by writing the denominator as the different of squares and dividing out any common...
    13 replies | 197 view(s)
  • MarkFL's Avatar
    September 4th, 2017, 23:38
    Are you wrapping the code in tags?
    28 replies | 353 view(s)
  • MarkFL's Avatar
    September 4th, 2017, 22:16
    Are you sure you're talking about the editor, and not the $\LaTeX$ Live Preview?
    28 replies | 353 view(s)
  • MarkFL's Avatar
    September 4th, 2017, 22:06
    MarkFL replied to a thread Find P...1 in Pre-Calculus
    Yes, but what is this slope? m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=?
    13 replies | 197 view(s)
  • MarkFL's Avatar
    September 4th, 2017, 22:04
    MarkFL replied to a thread Find Linear Equation in Pre-Calculus
    Yes, we are told that for every increase in $x$ of 1 ($\Delta x=1$), we get a decrease in $y$ of 20 ($\Delta y=-20$)...so what is the slope of the...
    13 replies | 196 view(s)
  • MarkFL's Avatar
    September 4th, 2017, 21:52
    You click a symbol/command, and it appears in the editor, but when you post your reply, it disappears?
    28 replies | 353 view(s)
  • MarkFL's Avatar
    September 4th, 2017, 21:37
    MarkFL replied to a thread Find P...2 in Pre-Calculus
    I would observe that the equation of the line may be arranged as: y-k=m(x-h) Now, plug into the equation of the circle for $y-k$...to get: ...
    15 replies | 226 view(s)
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    Hello and welcome back to MHB, Yankel!

    We are happy to see that you have returned, and we look forward to your continued participation here!

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    Hello and welcome back to MHB, Yankel!

    We are happy to see that you have returned, and we look forward to your continued participation here!

    On Behalf Of MHB's Staff,

    MarkFL.
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