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karush
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Today,
03:46
Theia
replied to a thread
Differentiation challenge
in
Challenge Questions and Puzzles
I said this is 'a snack', not 'an afwully complicated thing you need to think about seven years'... Anyway, then you can show me your answer, right?...
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2 replies  46 view(s)
Yesterday,
18:06
Theia
started a thread
Differentiation challenge
in
Challenge Questions and Puzzles
Let's have a snack challenge for a while. ^^ Let x and y be real numbers (with restrictions y \ne 0, \ y \ne x) and \frac{x  y}{x + y} =...
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2 replies  46 view(s)
Yesterday,
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  64 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  64 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  64 view(s)
January 17th, 2017,
19:45
karush
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
thanks... wouldn't have thot of that nice thing about MHB...:cool:
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2 replies  56 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+(6x4)^2=37x^232x+80 Critical value is from: 74x32=0\implies x=\frac{16}{37} ...
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2 replies  56 view(s)
January 17th, 2017,
17:20
karush
started a thread [SOLVED]
231.12.3.63 Determine the smallest distance between point P and the line L through the origin
in
Calculus
$\tiny{231.12.3.63}$ $\textsf{ Determine the smallest distance between point P and the line L through the origin}\\$ $\textsf{$P(8,4)$ L is $y=6x$...
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2 replies  56 view(s)
January 16th, 2017,
19:11
karush
replied to a thread [SOLVED]
231.12.3.19 angle between vectors
in
Calculus
I see a lot of vector notation with z=0 thot i would join the club.;)
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3 replies  60 view(s)
January 16th, 2017,
18:47
karush
started a thread [SOLVED]
231.12.3.19 angle between vectors
in
Calculus
$\tiny{231.12.3.19}$ $\textsf{Given $v=7ij$ and $w=i7j$}\\$ $\textsf{find the angle between v and w}\\$ $\displaystyle \frac{\left(7, 1,...
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3 replies  60 view(s)
January 16th, 2017,
17:17
MarkFL
replied to a thread
Parabola question
in
PreAlgebra and Algebra
Yes, that's what I got too. (Yes) So then, what is $y_{\min}$?
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5 replies  91 view(s)
January 16th, 2017,
16:04
MarkFL
replied to a thread
Parabola question
in
PreAlgebra 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  91 view(s)
January 16th, 2017,
00:11
karush
replied to a thread [SOLVED]
231.13.3.75 Find the center of R
in
Calculus
so then we can assume the distance between all the centers is =. (or magnitude) $R\left(\frac{\sqrt{3}}{2},0,\frac{\sqrt{3}}{2}\right)$
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2 replies  72 view(s)
January 15th, 2017,
23:22
karush
started a thread [SOLVED]
231.13.3.75 Find the center of R
in
Calculus
$\tiny{231.13.3.75}$ $\textsf{Imagine $3$ unit spheres (radius equal to 1) }$ $\textsf{with centers at, $o(0,0,0)$, $p(\sqrt{3},1,0)$ and...
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2 replies  72 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  102 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  268 view(s)
January 14th, 2017,
22:16
karush
replied to a thread [SOLVED]
206.08.05.44 partial fraction decomposition
in
Calculus
$\displaystyle\theta=\arctan\left(\frac{x}{4}\right)$ then $\displaystyle\frac{\sin(\theta)\cos(\theta)}{2}+\frac{\theta}{2}=...
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6 replies  147 view(s)
January 14th, 2017,
19:38
karush
replied to a thread [SOLVED]
206.08.05.44 partial fraction decomposition
in
Calculus
with $u=x^2+16 \therefore du=2x \, dx$ $3\int\frac{2x}{(x^2+16)^2}\text{ d}x=3\int\frac{1}{u^2} du = \frac{3}{u}$ back substitute...
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6 replies  147 view(s)
January 14th, 2017,
15:40
karush
replied to a thread [SOLVED]
206.08.05.44 partial fraction decomposition
in
Calculus
so then, $$\int\frac{4}{x^2+16}\text{ d}x=\arctan\left(\frac x4\right)$$ with $u=x^2+16 \therefore du=2x \, dx$ ...
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6 replies  147 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  290 view(s)
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karush
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November 24th, 2015
08:50
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About karush
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November 24, 1944 (72)
About karush
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Wahiawa, Hawaii
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retired from Architecture and Surveying
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January 17th, 2017
23:20 
greg1313
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Re: 231.12.3.63 Determine the smallest distance between point P and the line L through the origin
by
karush
thanks... wouldn't have...
21:09 
anemone
clicked Thanks for this post:
Re: 231.12.3.63 Determine the smallest distance between point P and the line L through the origin
by
karush
thanks... wouldn't have...
20:07 
MarkFL
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Re: 231.12.3.63 Determine the smallest distance between point P and the line L through the origin
by
karush
thanks... wouldn't have...
19:43 
karush
clicked Thanks for this post:
Re: 231.12.3.63 Determine the smallest distance between point P and the line L through the origin
by
MarkFL
The square of the...
10:35 
karush
clicked Thanks for this post:
Re: 231.12.3.19 angle between vectors
by
HallsofIvy
It is best to use the...
January 16th, 2017
19:16 
greg1313
clicked Thanks for this post:
Re: 231.12.3.19 angle between vectors
by
karush
I see a lot of vector...
19:11 
karush
clicked Thanks for this post:
Re: 231.12.3.19 angle between vectors
by
greg1313
Your answer looks good...
00:35 
karush
clicked Thanks for this post:
Re: 231.13.3.75 Find the center of R
by
Prove It
$\tiny{231.13.3.75}$...
January 14th, 2017
22:03 
karush
clicked Thanks for this post:
Re: 206.08.05.44 partial fraction decomposition
by
greg1313
Differentiate $3/u$. ...
17:28 
karush
clicked Thanks for this post:
Re: 206.08.05.44 partial fraction decomposition
by
greg1313
First one's ok. You've...
January 13th, 2017
02:38 
karush
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Re: 206.08.05.44 partial fraction decomposition
by
greg1313
Good! Suggestions: ...
January 11th, 2017
10:00 
karush
clicked Thanks for this post:
Re: 206.07.05.88 Int rational expression
by
Prove It
$\tiny{206.07.05.88}$...
January 10th, 2017
22:36 
karush
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Re: 206.07.05.88 Int rational expression
by
greg1313
$\tiny{206.07.05.88}$...
20:18 
karush
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Re: 206.07.05.88 Int rational expression
by
Fernando Revilla
$\tiny{206.07.05.88}$...
20:18 
karush
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Re: 206.07.05.88 Int rational expression
by
Fernando Revilla
I tried next.. ...
January 9th, 2017
14:51 
karush
clicked Thanks for this post:
MHB 2016 End of the year awards results!
by
Jameson
Hi everyone! We made...
January 8th, 2017
11:40 
karush
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Re: s4.854.13.5.47 Find symmetric equations, angle between the planes
by
Prove It
there are 2 angles of an...
January 7th, 2017
12:27 
karush
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Re: s4.854.13.5.47 Find symmetric equations, angle between the planes
by
Prove It
$\tiny{s4.854.13.5.47}$...
01:16 
karush
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2016 End of year awards voting extended
by
Jameson
Hi everyone, I want...
January 5th, 2017
23:02 
karush
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Re: 242.2q.3 find the derivative
by
Prove It
\begin{align} ...
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