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MarkFL
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Yesterday,
11:54
MarkFL
replied to a thread
Differentiation challenge
in
Challenge Questions and Puzzles
We appreciate challenge problems of virtually any level of difficulty. My advice to everyone is that if you find a posted problem "too easy" to...
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7 replies | 125 view(s)
January 19th, 2017,
10:19
MarkFL
replied to a thread
Minimum of function under constraint
in
Calculus
Yes, the function as a whole is not bounded from below or from above. Let's look at this using Lagrange Multipliers... We have the objective...
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6 replies | 72 view(s)
January 18th, 2017,
22:47
MarkFL
replied to a thread
Minimum of function under constraint
in
Calculus
You also need to check the boundaries of the function, one of which is $x=0$, at which the function is discontinuous. Another way to find the range...
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6 replies | 72 view(s)
January 18th, 2017,
20:13
MarkFL
replied to a thread
Minimum of function under constraint
in
Calculus
The function: f(x)=\frac{36}{x}+x has 2 local extrema, but we need to also look at the range, which is $(-\infty,-6]\,\cup\,[6,\infty)$. You...
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6 replies | 72 view(s)
January 17th, 2017,
17:35
MarkFL
replied to a thread [SOLVED]
231.12.3.63 Determine the smallest distance between point P and the line L through the origin
in
Calculus
The square of the distance is: D^2=(x+8)^2+(6x-4)^2=37x^2-32x+80 Critical value is from: 74x-32=0\implies x=\frac{16}{37} ...
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2 replies | 60 view(s)
January 16th, 2017,
17:17
MarkFL
replied to a thread
Parabola question
in
Pre-Algebra and Algebra
Yes, that's what I got too. (Yes) So then, what is $y_{\min}$?
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5 replies | 95 view(s)
January 16th, 2017,
16:04
MarkFL
replied to a thread
Parabola question
in
Pre-Algebra and Algebra
We know the axis of symmetry for the general quadratic: f(x)=ax^2+bx+c is the line: x=-\frac{b}{2a} And so for the given function:
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5 replies | 95 view(s)
January 15th, 2017,
15:03
MarkFL
started a thread
Smilie Tabs: Easier Access To Smilies
in
Announcements
Hello MHB Community! (Wave) We have just installed a new feature that will make adding smilies to your posts easier and more efficient. When you...
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3 replies | 109 view(s)
January 15th, 2017,
10:59
MarkFL
replied to a thread
Prove that sin(x)+cos(x) is equal or larger than 1
in
Trigonometry
We could use Lagrange Multipliers...consider the objective function: f(x,y)=\sin(x)-\sin(y) Subject to the constraint: ...
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11 replies | 283 view(s)
January 12th, 2017,
23:20
MarkFL
replied to a thread
Site upgrade and planned downtime Wed, Jan 11
in
Announcements
Yes, when I got in tonight, I found Jameson had sent me the cure for the thanks issue. (Dance)
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12 replies | 297 view(s)
January 12th, 2017,
22:41
MarkFL
replied to a thread
Site upgrade and planned downtime Wed, Jan 11
in
Announcements
After an upgrade to the latest version of our thanks product, that is now functioning again. (Yes)
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12 replies | 297 view(s)
January 12th, 2017,
16:33
MarkFL
replied to a thread
cone
in
Calculus
The vessel into which the water is flowing has a radius that is one half the height. Any "cone of water" partially or completely filling the vessel...
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3 replies | 82 view(s)
January 12th, 2017,
16:11
MarkFL
replied to a thread
cone
in
Calculus
At any point in time, how are the radius and height of the "cone of water" within the conical vessel related?
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3 replies | 82 view(s)
January 12th, 2017,
11:24
MarkFL
replied to a thread
Hello
in
Introductions
Hello and welcome to MHB, MC! (Wave) Sorry for the late reply...I've been busy with the site upgrade. It's good to see you here! (Yes)
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5 replies | 196 view(s)
January 12th, 2017,
05:53
MarkFL
replied to a thread
Site upgrade and planned downtime Wed, Jan 11
in
Announcements
The upgrade is now complete, but we had to disable the post thanking feature for now until we can figure out how to restore this feature. Hopefully...
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12 replies | 297 view(s)
January 11th, 2017,
02:36
MarkFL
replied to a thread
Site upgrade and planned downtime Wed, Jan 11
in
Announcements
Most likely somewhere around 10 pm EST...but could be later, not likely to be earlier.
see more
12 replies | 297 view(s)
January 9th, 2017,
01:27
MarkFL
replied to a thread
ACT problem
in
Pre-Algebra and Algebra
Let: f(x)=2x^2-4x-z Now, if $x-4$ is a factor of $f$, then we must have: f(4)=0 So, this allows us to write:
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2 replies | 95 view(s)
January 7th, 2017,
03:29
MarkFL
replied to a thread
Simple equation help
in
Pre-Algebra and Algebra
Addition and subtraction are at the same level, and are done from left to right. Subtraction is really just the addition of a negative number, much...
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6 replies | 134 view(s)
January 7th, 2017,
01:47
MarkFL
replied to a thread
Simple equation help
in
Pre-Algebra and Algebra
Hello and welcom to MHB, Rachel! (Wave) I've moved your thread here, because our Challenge Questions and Puzzles forum is for presenting problems...
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6 replies | 134 view(s)
January 4th, 2017,
16:19
MarkFL
replied to a thread
Area of a rectangle
in
Calculus
It appears the base $b$ of the rectangle is 0.5 units, while the height is: h=f(1.5)=4-1.5^2=1.75 Thus, the area $A$ (in units squared) is: ...
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2 replies | 71 view(s)
January 4th, 2017,
13:04
MarkFL
replied to a thread
equation
in
Pre-Algebra and Algebra
We are given to solve for $L$: 2000=4K^{\frac{3}{4}}L^{\frac{1}{4}} Divide through by 4: 500=K^{\frac{3}{4}}L^{\frac{1}{4}} We are told:
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1 replies | 71 view(s)
January 4th, 2017,
12:46
MarkFL
replied to a thread
Resolution of polynomial
in
Pre-Algebra and Algebra
Yes, there is generally guesswork involved in factoring polynomials. What I actually did was used W|A to factor it, and then constructed my post...
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3 replies | 119 view(s)
January 4th, 2017,
12:42
MarkFL
replied to a thread
Recursion and Induction
in
Pre-Calculus
The question is in an image hot-linked to a free image hosting site...and I know from experience that they don't always show up, so I will type it...
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2 replies | 160 view(s)
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January 20th, 2017
22:06 -
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Re: Singularties
by
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I watched the video and...
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Re: Differentiation challenge
by
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I said this is 'a...
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Re: Possible to solve such an equation?
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There is no solution. ...
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Re: Injective linear mapping - image
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Since $S$ is linearly...
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Prove the inequality: ...
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How is this a...
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I watched this earlier...
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