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• Today, 04:23
Prove It replied to a thread 34 mnt in Calculus
The average acceleration is $\displaystyle \frac{20}{\frac{1}{6}} = 120 \,\textrm{mi}/\textrm{h}^2$ Since the function is continuous and smooth,...
1 replies | 21 view(s)
• Yesterday, 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 | 79 view(s)
• March 28th, 2020, 20:13
You also have an arithmetic error. When $\displaystyle t = 5$ you end up with $\displaystyle 5 = C - \frac{3}{121} \implies C = 5 + \frac{3}{121} =... 4 replies | 92 view(s) • March 28th, 2020, 18:48 Thanks for pointing out my error Hallsofivy. Adam is one of my students, and the topic they are learning is Laplace Transforms, so he will have to... 4 replies | 92 view(s) • March 28th, 2020, 05:02 Take the Laplace Transform of the equation:$\displaystyle \begin{align*} s\,Y\left( s \right) - y\left( 0 \right) + 11\,Y\left( s \right) &=...
4 replies | 92 view(s)
• March 28th, 2020, 04:42
Prove It replied to a thread 3.2.15 mvt in Calculus
I think the OP just means they are not sure if this is considered the most concise or elegant way, or if there are any steps that are not...
3 replies | 92 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 | 48 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 | 65 view(s)
• March 26th, 2020, 21:28
Prove It replied to a thread 3.2.15 mvt in Calculus
It's fine, well done.
3 replies | 92 view(s)
• March 26th, 2020, 21:23
Easy, $\displaystyle 0 \leq \sum{\frac{1}{5^{n-1} + 1}} < \sum{\frac{1}{5^{n-1}}} = \sum{ \left( \frac{1}{5} \right) ^{n-1} }$ Since your...
2 replies | 63 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 | 63 view(s)
• March 26th, 2020, 20:17
Upon taking the Laplace Transform of the equation we have \displaystyle \begin{align*} s^2\,Y\left( s \right) - s\,y\left( 0 \right) - y'\left( 0... 0 replies | 45 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 | 48 view(s) • March 26th, 2020, 01:11 Prove It replied to a thread 2.6.5 implicit in Calculus What you've done is correct. 1 replies | 45 view(s) • March 24th, 2020, 23:51 Taking the Laplace Transform of the equation gives\displaystyle \begin{align*} s^2\,Y\left( s \right) - s\,y\left( 0 \right) - y'\left( 0...
0 replies | 53 view(s)
• March 24th, 2020, 23:26
This requires the convolution theorem: $\displaystyle \int_0^t{f\left( u \right) \,g\left( t- u \right) \,\mathrm{d}u } = F\left( s \right)... 0 replies | 59 view(s) • March 24th, 2020, 23:03 Start by taking the Laplace Transform of both equations, which gives$\displaystyle \begin{cases} s\,X\left( s \right) - s\,x\left( 0 \right) +...
0 replies | 46 view(s)
• March 23rd, 2020, 05:39
Prove It replied to a thread Intersection in Geometry
Start by replacing x with -5 + 8t, y with 1 + 10t, and z with 9 + 8t, in your plane.
1 replies | 99 view(s)
• March 23rd, 2020, 04:29
Prove It replied to a thread Laplace Convolution in Analysis
$\displaystyle \mathcal{L} \left\{ f\left( t \right) \right\} = F\left( s \right)$, so \displaystyle \begin{align*} \mathcal{L} \left\{ f\left(... 1 replies | 173 view(s) • March 23rd, 2020, 04:25 Actually it's\displaystyle \frac{9}{s^2 + 81} $. Actually it's$\displaystyle -\frac{3}{s - 9} + \frac{81}{s^2 + 81}$. To enter it in... 2 replies | 201 view(s) • March 23rd, 2020, 04:19 Hi Dean, this is Hayden, I'm assuming that you want to do a Laplace Transform of this. In future please post the ENTIRE question. I also expect it... 2 replies | 136 view(s) • March 23rd, 2020, 04:15 Try mathcal{T}, which gives$\displaystyle \mathcal{T}$. 2 replies | 85 view(s) • March 22nd, 2020, 20:08 The Heaviside function suggests a second shift, but to do that, the entire function needs to be a function of$\displaystyle t - 4$. Let... 0 replies | 75 view(s) • March 20th, 2020, 19:44 topsquark replied to a thread [SOLVED] s8.2.5.7 chain rule in Calculus Look at your first factor: \left ( 7x^6 + 8 x^3 \right ) ^3 = ( x^3 ( 7 x^3 + 8 ) )^3 = (x^3)^3 (7 x^3 + 8 )^3 Don't worry. It's an easy mistake... 2 replies | 272 view(s) • March 19th, 2020, 08:52 Just as a heads up, when we make the switch over to XenForo I will need to close MHB temporarily to do this. I hope it won't take more than part of a... 10 replies | 2004 view(s) • March 16th, 2020, 02:09$\displaystyle \begin{align*} \mathcal{L} \left\{ 5\sin{ \left( 11\,t \right) } \sinh{ \left( 11\,t \right) } \right\} &= \mathcal{L} \left\{...
0 replies | 112 view(s)
• March 14th, 2020, 23:25
skeeter replied to a thread 296 AP calculus exam. IVT in Calculus
posted in another forum ... https://mathhelpforum.com/threads/276-ap-calculus-exam-ivt.285028/#post-954029
7 replies | 225 view(s)
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22 Visitor Messages

1. Best regards Dan
2. Have a wonderful, happy, healthy birthday now and forever!
3. Happy Birthday, topsquark!!!
4. Hey Topsquark! Think you could check my quantum physics question? Thanks!
5. so he just kept posting the same thing over and over??? dam. ban him and say it was a mistake. like you did with nycmath. that one was sooo funny lol because i always thought he was annoying
6. i was reading the thread by alexchan on mhf "I'm sorry for before action. Hopefully, we can continue to discuss." did u delete the original thread? because now I HAVE TO know what he got in trouble for. tell meeeee dan pleeeeaaase.
7. hiiiiiiiiiii a few of us have been talking about it since yesterday. come to mathhelpboards.com/chat/ that place needs ur funnyness!!!!
8. The last ten digit is 8000000018 but not 6795421006 because $44!+9= 2658271574788448768043625811014615890319638528000000018 \ne 2658271574788448768043625811014615890319638526795421006$.
9. Hey Dan, so, you are now 44! (44 factorial + 9 days) old? Hehehe...
10. Happy Birthday Dan!!
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