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  • Euge's Avatar
    Yesterday, 22:53
    Euge replied to a thread Real Analysis in Analysis
    No. Use the conditions $f \ge 0$ and $\int_a^b f = 0$, along with basic properties of the integral to prove that result.
    12 replies | 154 view(s)
  • MarkFL's Avatar
    Yesterday, 22:32
    MarkFL replied to a thread Radius of Circle in Pre-Calculus
    That is the radius of the circle after it has been increased by $a$ units. If I tell you that my weight increased by 20 lbs., then you know my...
    4 replies | 48 view(s)
  • MarkFL's Avatar
    Yesterday, 21:35
    MarkFL replied to a thread Radius of Circle in Pre-Calculus
    Let's let $0<a$ be the number units the radius must be increased. And so the change in area we can write as: \Delta A=\pi(r+a)^2-\pi r^2=b Now...
    4 replies | 48 view(s)
  • Euge's Avatar
    Yesterday, 21:25
    Euge replied to a thread Ball Application in Pre-Calculus
    Yes. Yes.
    2 replies | 28 view(s)
  • Euge's Avatar
    Yesterday, 21:19
    Euge replied to a thread Find All Real Solutions in Pre-Calculus
    Yes, it's correct.
    2 replies | 37 view(s)
  • Euge's Avatar
    Yesterday, 21:15
    Euge replied to a thread Real Analysis in Analysis
    Almost. You have a typo in the last line: the fraction $\frac{x + h - h}{h}$ should be $$\frac{x + h - \color{red}{x}}{h}$$
    12 replies | 154 view(s)
  • Euge's Avatar
    Yesterday, 12:39
    Euge replied to a thread Real Analysis in Analysis
    To prove problem 1 directly, fix $x\in $ and show that $$f(x) = \lim_{h\to 0^+} \frac{1}{h}\int_x^{x+h} f(t)\, dt$$ Then show that for all...
    12 replies | 154 view(s)
  • I like Serena's Avatar
    Yesterday, 12:05
    I like Serena replied to a thread ideal gas in Other Topics
    Hi markosheehan, Yes, there are Van der Waals forces in all cases. However, Helium is the only one that is electrically neutral. That's because...
    1 replies | 45 view(s)
  • I like Serena's Avatar
    Yesterday, 11:52
    I like Serena replied to a thread copper(2) oxide in Other Topics
    Yes, there are exceptions. Most elements have a stable bonding with a full outer shell, but they typically also have alternative stable bondings....
    5 replies | 74 view(s)
  • I like Serena's Avatar
    Yesterday, 09:08
    I like Serena replied to a thread copper(2) oxide in Other Topics
    Hi markosheehan, I'm assuming EC stands for Electron Configuration? Before the bonding Copper has the configuration 2-8-18-1 (there are 18...
    5 replies | 74 view(s)
  • Euge's Avatar
    Yesterday, 02:05
    Euge replied to a thread Real Analysis in Analysis
    Well, the difference between the Riemann sum and integral is made less than $\epsilon$ in magnitude when $n\ge N$, but since $\epsilon$ was...
    12 replies | 154 view(s)
  • Euge's Avatar
    Yesterday, 01:53
    Euge replied to a thread Real Analysis in Analysis
    Not quite. Fix $k$. If $n \ge N$ and $x\in \left$, then $\lvert \frac{k}{n} - x\rvert \le \frac{1}{n} \le \frac{1}{N} < \delta$. Thus, for all $n \ge...
    12 replies | 154 view(s)
  • Euge's Avatar
    Yesterday, 00:35
    Euge replied to a thread Real Analysis in Analysis
    Hi joypav, You're not bothering us with your questions, so feel free to ask whenever you have trouble. :)
    12 replies | 154 view(s)
  • Euge's Avatar
    March 25th, 2017, 23:17
    Yes. Let $h > 0$ such that $c + h\in (a,b)$. Then $$F(c + h) - F(c) - f(c+)h = \int_c^{c+h} \, dt $$ Let $\epsilon > 0$. There exists a $\delta...
    7 replies | 165 view(s)
  • MarkFL's Avatar
    March 25th, 2017, 21:53
    MarkFL replied to a thread The Distance Across in Geometry
    \overline{MK}=\sqrt{(\sqrt{2}a)^2+(\sqrt{2}b)^2}=\sqrt{2\left(a^2+b^2\right)}=\sqrt{2(50)}=\sqrt{100}=10 :D
    8 replies | 83 view(s)
  • MarkFL's Avatar
    March 25th, 2017, 21:07
    MarkFL replied to a thread Lagrange Multipliers 2 in Calculus
    I arbitrarily chose another point on the constraint, so that we could do a comparison like I mentioned just now in the other thread. :D
    9 replies | 82 view(s)
  • MarkFL's Avatar
    March 25th, 2017, 21:04
    MarkFL replied to a thread Lagrange Multipliers in Calculus
    I chose the point as it is on the constraint. Using that point, we can determine if our one critical point is a maximum or a minimum. If the...
    9 replies | 70 view(s)
  • MarkFL's Avatar
    March 25th, 2017, 19:21
    MarkFL replied to a thread Lagrange Multipliers 2 in Calculus
    I agree that the point $(2,2)$, is the only one that meets all criteria. Now we need to compare the value of $f$ at another point on the constraint,...
    9 replies | 82 view(s)
  • MarkFL's Avatar
    March 25th, 2017, 19:08
    MarkFL replied to a thread Lagrange Multipliers in Calculus
    I agree that of the 3 critical points, $(1,1)$ is the only one in quadrant I. Now, we know this is either a maximum or a minimum, and to determine...
    9 replies | 70 view(s)
  • Evgeny.Makarov's Avatar
    March 25th, 2017, 17:31
    I already said that if (outer == inner) {} is useless because {} denotes a no-op. Your algorithms is in general incorrect. It may help you to come...
    13 replies | 126 view(s)
  • Evgeny.Makarov's Avatar
    March 25th, 2017, 14:59
    There are numerous logical problems with your code. The operator if(array==1) {} is never necessary. It checks the condition, but does not do...
    13 replies | 126 view(s)
  • Evgeny.Makarov's Avatar
    March 25th, 2017, 14:26
    You should post the complete code or the relevant fragment. "Adding another int array" does not provide enough information. The header of linearIn...
    13 replies | 126 view(s)
  • Evgeny.Makarov's Avatar
    March 25th, 2017, 14:01
    According to the assignment, method linearIn should accept two arguments, but the header of the method mentions only one argument.
    13 replies | 126 view(s)
  • Evgeny.Makarov's Avatar
    March 25th, 2017, 13:12
    There is an unclosed curly brace after method has12, but an extra closing brace after method linearIn. Also, you have not addressed by remark 2 from...
    13 replies | 126 view(s)
  • MarkFL's Avatar
    March 25th, 2017, 11:15
    MarkFL replied to a thread Factoring...6 in Pre-Calculus
    It might be more clear to state something like the following: The difference of cubes formula states: p^3-q^3=(p-q)\left(p^2+pq+q^2\right) ...
    5 replies | 73 view(s)
  • MarkFL's Avatar
    March 25th, 2017, 10:47
    MarkFL replied to a thread Lagrange Multipliers 2 in Calculus
    Consider: e^u=0 What do you get when solving for $u$? Okay, you correctly found $x^2=y^2$...what do you get when you substitute for...
    9 replies | 82 view(s)
  • MarkFL's Avatar
    March 25th, 2017, 10:39
    MarkFL replied to a thread Lagrange Multipliers in Calculus
    What I would do is use the constraint to determine $y=2-x$. Now substitute for $y$ in both equations you mentioned, and solve for $x$, then your...
    9 replies | 70 view(s)
  • I like Serena's Avatar
    March 25th, 2017, 06:59
    Hey evinda!! (Smile) I haven't figured it out yet. :( However, I can see a couple of approaches... According to Euler we have: $$a^{\phi(pq)}...
    1 replies | 57 view(s)
  • MarkFL's Avatar
    March 25th, 2017, 02:30
    This is a calculus question...please don't continue to post calculus questions in other forums. If given: ...
    3 replies | 84 view(s)
  • MarkFL's Avatar
    March 24th, 2017, 23:12
    MarkFL replied to a thread Lagrange Multipliers 2 in Calculus
    If you solve both equations for $\lambda$ and then equate the results, you obtain: \frac{ye^{xy}}{2x}=\frac{xe^{xy}}{2y} Multiply through by 2:...
    9 replies | 82 view(s)
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16 Visitor Messages

  1. Reply/View Conversation
    Glad to hear that resolved the issue! I thought perhaps forcing your browser to reload the script by removing it from your cache might do the trick.
  2. Reply/View Conversation
    Hmmm...have you tried clearing your cache on your iPad?
  3. Reply/View Conversation
    Hey Peter,

    No, there have been no changes in that regard, at least that I know of. Do you visit any other sites that use MathJax? If so does it render there?

    Best Regards,

    Mark.
  4. Reply/View Conversation
    Good deal, Peter! I wish I had a nickel for every time a problem is corrected by ditching IE and using a modern standards compliant browser.
  5. Reply/View Conversation
    I would try another browser...IE is notorious for being problematic.
  6. Reply/View Conversation
    Hello Peter,

    No changes to composing posts have been made. What browser are you using? What OS?
  7. Reply/View Conversation
    Thank you for your kind words Peter, I really appreciate them. I'm always happy to help!
  8. Reply/View Conversation
    Hey Peter,

    You attached 4 images, but only 3 of them were attached inline...I deleted the duplicate.

    Best Regards,

    Mark.
  9. Reply/View Conversation
    Hey Peter,

    I am very sorry to hear that you had to undergo eye surgery, but I hope everything went well and that your recovery is complete and as speedy as possible.

    Best Regards,

    Mark.
  10. Reply/View Conversation
    Hey Peter,

    I'm glad I could help you to locate the problem so you could fix your posts.
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About Peter

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