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• Today, 15:47
I have obtained access to the full solutions manual, after contacting Wiley about it. I will not type up the solution in full, but simply note a few...
1 replies | 71 view(s)
• Today, 10:39
What are your units for speed, the $x$ in your cost function? I get cost as a function of speed, $v$, in km/hr ... $C(v) = 1375 \bigg$ unit...
2 replies | 61 view(s)
• Yesterday, 17:07
skeeter replied to a thread f in Calculus
don't know math ... ?
5 replies | 117 view(s)
• Yesterday, 15:47
In the mid-1990's, an electrical engineer/computer scientist by the name of Judea Pearl started to change the world by greatly improving our...
0 replies | 41 view(s)
• Yesterday, 12:25
Klaas van Aarsen replied to a thread f in Calculus
It appears the answer is: dkm Acronym for "don't kill me". Often used when somebody says something that somebody else finds really funny,...
5 replies | 117 view(s)
• Yesterday, 11:56
topsquark replied to a thread f in Calculus
I believe the proper question is "What the 'f'?" -Dan
5 replies | 117 view(s)
• April 1st, 2020, 15:04
$\newcommand{\doop}{\operatorname{do}}$ Problem: (This is from Study question 4.3.1 from Causal Inference in Statistics: A Primer, by Pearl,...
1 replies | 71 view(s)
• March 31st, 2020, 19:28
why did you do that? ... ... if originally, $x = \sin{t}-\cos{t}$, then $v = \cos{t} + \sin{t} = 0 \implies t = \dfrac{3\pi}{4}$
2 replies | 71 view(s)
• March 31st, 2020, 17:53
Wait! What do you mean by you changed it to v(t)? The particle's position is x(t) = sin(t) - cos(t) means that v = \dfrac{dx}{dt}. You can't just...
2 replies | 71 view(s)
• March 30th, 2020, 05:31
Let's take a look at a couple of examples. If $f(x)=x$, then $f'(x)=1$ and $f''(x)=0$. So $\lim\limits_{x\to +\infty}f'(x)\ne 0$, isn't it?...
21 replies | 338 view(s)
• March 30th, 2020, 04:26
Yep. (Nod) And no, nothing more specific.
21 replies | 338 view(s)
• March 30th, 2020, 03:32
I believe so yes. Consider $f(x)=\ell$. It satisfies all conditions, doesn't it? (Wondering) And it is monotone instead of strictly monotone. To...
21 replies | 338 view(s)
• March 29th, 2020, 14:38
Indeed. (Thinking)
21 replies | 338 view(s)
• March 29th, 2020, 14:26
Yep. (Nod)
21 replies | 338 view(s)
• March 29th, 2020, 13:57
Then the inequality also holds yes. What if fill in, say, $f'(y)=-1$ in the inequality? Would it satisfy it? (Wondering)
21 replies | 338 view(s)
• March 29th, 2020, 13:19
That is a possibility yes. What happens if $f'(y)$ is negative? (Wondering)
21 replies | 338 view(s)
• March 29th, 2020, 13:08
We have an expression with $f(y)$, $f'(y)$, and $\ell$. And we already know that $\ell\in\mathbb R$, don't we? So it can't be $\pm\infty$ either. ...
21 replies | 338 view(s)
• March 29th, 2020, 12:27
similar problem from another site had $f(x^2-2016x) = f(x) \cdot x + 2016$ https://mathhelpforum.com/threads/functions-problem.285171/#post-954658...
2 replies | 152 view(s)
• March 29th, 2020, 10:27
Ah okay. But that is not the case now is it? (Wondering) Sounds like a plan. (Nod)
21 replies | 338 view(s)
• March 29th, 2020, 08:35
Let's see, suppose we pick a convex function, say $f(x)=x^2$. It's convex isn't it? Does $\lim\limits_{x\to +\infty}f'(x)$ exist? (Wondering) ...
21 replies | 338 view(s)
• March 29th, 2020, 07:38
Hey mathmari!! Let's start with: It follows from $\lim\limits_{x\rightarrow +\infty}f(x)=\ell$ that $\lim\limits_{x\to +\infty}f'(x)=0$...
21 replies | 338 view(s)
• March 27th, 2020, 23:42
Here is this week's POTW: ----- Find the minimum value of $(u-v)^2+\left(\sqrt{2-u^2}-\dfrac{9}{v}\right)^2$ for $0<u<\sqrt{2}$ and $v>0$. ...
0 replies | 96 view(s)
• March 27th, 2020, 23:38
Hi MHB! I have decided to extend the deadline by another week so that our members can give this problem another shot and I am looking forward to...
1 replies | 212 view(s)
• March 27th, 2020, 18:40
skeeter replied to a thread 3.6.26 mvt in Calculus
average rate of change of $f(x)$ on the interval  is $\dfrac{f(8)-f(2)}{8-2}$ the MVT states there exists at least one value of $x \in (2,8)$...
1 replies | 103 view(s)
• March 27th, 2020, 09:04
skeeter replied to a thread speed of a light beam in Calculus
$\dfrac{d\theta}{dt}$ = 5 rpm = $\dfrac{10\pi}{60 \, sec} = \dfrac{\pi}{6}$ rad/sec consider the right triangle formed by the light beam, the...
1 replies | 74 view(s)
• March 26th, 2020, 20:42
Have you tried looking at \lim_{n \to \infty} \dfrac{a_{n + 1}}{a_n}? -Dan
2 replies | 73 view(s)
• March 26th, 2020, 18:35
Let y'(x) = v(x). Then your equation becomes v'(x) + v(x) = -F(x) Now you have a first degree linear ordinary differential equation. You can't...
1 replies | 68 view(s)
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