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MarkFL
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Yesterday,
20:06
MarkFL
replied to a thread
Related Rates
in
Calculus
Yes, the length of his shadow is increasing at a rate of 4/3 ft/s, and the tip of his shadow is moving at a rate of 10/3 ft/s. :D
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8 replies | 96 view(s)
Yesterday,
16:29
MarkFL
replied to a thread
Related Rates
in
Calculus
I got 4/3 ft/s where you got 3 ft/s. You have the line: \d{y}{t}=\frac{3}{2}\d{x}{t} Now, this implies: \d{x}{t}=\frac{2}{3}\d{y}{t}
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8 replies | 96 view(s)
Yesterday,
16:20
MarkFL
replied to a thread
Compute The Limit
in
Challenge Questions and Puzzles
Nicely done, Chris! (Yes) This is the solution I found elsewhere: We are given to evaluate: \lim_{n\to\infty}\left(\sqrt{\int_0^1...
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4 replies | 114 view(s)
Yesterday,
15:15
MarkFL
replied to a thread
Related Rates
in
Calculus
Suppose we wanted to work the problem in general terms. Please refer to the following diagram: $P$ is the height of the pole, $M$ is the...
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8 replies | 96 view(s)
February 26th, 2017,
23:47
MarkFL
started a thread
Compute The Limit
in
Challenge Questions and Puzzles
Compute the following limit: \lim_{n\to\infty}\left(\sqrt{\int_0^1 \left(1+x^n\right)^n\,dx}\right)
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4 replies | 114 view(s)
February 26th, 2017,
01:48
MarkFL
replied to a thread [SOLVED]
What type of mathematical function is this? Thanks :)
in
Pre-Calculus
We could likely model this with a function of the form (which comes from Newton's Law Of Cooling): f(t)=c_1e^{-kt}+350 Since we know $f(0)=70$,...
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1 replies | 77 view(s)
February 26th, 2017,
01:01
MarkFL
replied to a thread
trigonometric inequality challenge
in
Challenge Questions and Puzzles
My solution: Consider the objective function: F(A,B,C)=\sin(A)+\sin(B)+\sin(C)-\cos(A)-\cos(B)-\cos(C) Subject to the constraint: ...
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3 replies | 114 view(s)
February 25th, 2017,
23:35
MarkFL
replied to a thread
9.4.5 Identify the equilibrium values
in
Calculus
Let's look at the behavior of the solutions near the equilibrium solution $y=3$. Suppose we have: y(0)=2.9 Then we see: y'<0 And for:
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4 replies | 78 view(s)
February 24th, 2017,
11:34
MarkFL
replied to a thread
Hi - Passionate educator looking to help
in
Introductions
Hello and welcome to MHB, Jesse! (Wave) I removed the link to your email address, as that shouldn't be public, and people can just as easily...
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3 replies | 94 view(s)
February 24th, 2017,
11:28
MarkFL
replied to a thread
Linear Algebra Conditions
in
Linear and Abstract Algebra
There's no need to link to the commercial site you used. Thanks! :D
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3 replies | 99 view(s)
February 24th, 2017,
00:26
MarkFL
replied to a thread
Sequence question
in
Pre-Algebra and Algebra
Let's find the $p$th term. I think what I would do is set: \frac{n(n+1)}{2}=p Now solve for $n$... n(n+1)=2p
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1 replies | 58 view(s)
February 23rd, 2017,
22:15
MarkFL
replied to a thread
Physics 1-D Kinematics
in
Other Advanced Topics
Perhaps you meant how can we derive this formula. Let's begin with the definition of average acceleration: \overline{a}=\frac{\Delta v}{\Delta...
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6 replies | 103 view(s)
February 23rd, 2017,
20:43
MarkFL
replied to a thread [SOLVED]
A tank contains 200 gal of fresh water
in
Differential Equations
I made a mistake in my above post...the IVP should be: \displaystyle \d{F}{t}=2-\frac{5F}{4(50-t)} where $F(0)=0$. So, this leads to: ...
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7 replies | 125 view(s)
February 23rd, 2017,
16:33
MarkFL
replied to a thread [SOLVED]
A tank contains 200 gal of fresh water
in
Differential Equations
I would let $F(t)$ be the amount of fertilizer in the tank at time $t$. From the problem statement, we get the following IVP: ...
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7 replies | 125 view(s)
February 23rd, 2017,
14:31
MarkFL
replied to a thread
Physics 1-D Kinematics
in
Other Advanced Topics
I don't follow...it's already in the form we want to give us the acceleration. :D
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6 replies | 103 view(s)
February 23rd, 2017,
14:28
MarkFL
replied to a thread
Physics 1-D Kinematics
in
Other Advanced Topics
The kinematic formula you want is: \overline{a}=\frac{v_f^2-v_i^2}{2\Delta x}
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6 replies | 103 view(s)
February 23rd, 2017,
02:40
MarkFL
replied to a thread
New User Interface For Embedding Desmos Graphing Calculators In Your Posts
in
Announcements
Our goal is to make MHB stand out as much as we can from our competitors by offering features you just don't see anywhere else. If we were to package...
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3 replies | 128 view(s)
February 23rd, 2017,
02:35
MarkFL
replied to a thread
Tapatalk...
in
Chat Room
Personally, I don't think Tapatalk is ready for vBulletin, much less sites using $\LaTeX$. From what I've gathered, many vBulletin admins refuse to...
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4 replies | 94 view(s)
February 23rd, 2017,
01:29
MarkFL
replied to a thread
Tapatalk...
in
Chat Room
I'd be happy if Tapatalk didn't lazily bypass most vBulletin PHP plugin hooks. (Giggle)
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4 replies | 94 view(s)
February 22nd, 2017,
04:08
MarkFL
replied to a thread
242t.9.1.15 Use Euler's method to calculate the first three approximations
in
Calculus
Your solution to the given IVP isn't correct...we are given: \d{y}{x}=9x^8e^{-x^9} where y(0)=8 \int_{y(0)}^{y(x)}\,du=\int_0^x...
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1 replies | 66 view(s)
February 21st, 2017,
23:42
MarkFL
started a thread
New User Interface For Embedding Desmos Graphing Calculators In Your Posts
in
Announcements
Hello, MHB Community! (Wave) We are pleased to announce a new method for embedding Desmos calculators in your posts, which we hope you will find...
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3 replies | 128 view(s)
February 21st, 2017,
12:24
MarkFL
replied to a thread [SOLVED]
9.1.14 Use Euler's method to calculate
in
Calculus
Given: \d{y}{x}=f(x,y) Euler's method is the recursion: y_{n+1}\approx y_{n}+\Delta x\cdot f\left(x_n,y_n\right) Now, in the given...
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2 replies | 87 view(s)
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February 28th, 2017
09:28 -
MarkFL
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Re: Compute The Limit
by
Opalg
[QUOTE=MarkFL;94578]This...
February 27th, 2017
23:08 -
Harpazo
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Re: Related Rates
by
MarkFL
Originally, I got (10/3)...
22:06 -
MarkFL
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Re: Physics 1-D Kinematics
by
topsquark
Thanks for the rapid...
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Re: Physics 1-D Kinematics
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Thanks so much, Mark!...
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Thanks so much, Mark!...
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Re: Physics 1-D Kinematics
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Thanks so much, Mark!...
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Re: Related Rates
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Are you saying that my...
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Re: Compute The Limit
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MarkFL
For $0\leqslant...
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MarkFL
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Problem of the Week # 254 - Feb 27, 2017
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Here is this week's...
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Re: Problem of the Week # 253 - Feb 16, 2017
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Congratulations to Opalg...
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Re: Compute The Limit
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MarkFL
For $0\leqslant...
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Opalg
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Re: Compute The Limit
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MarkFL
For $0\leqslant...
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MarkFL
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Re: Compute The Limit
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Compute the following...
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Re: Related Rates
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Suppose we wanted to...
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Compute The Limit
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Compute the following...
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My solution: ...
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