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• Today, 04:08
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...
1 replies | 47 view(s)
• Today, 02:00
Here is this week's POTW: ----- Let $(\mathcal{C}, \partial)$ be a chain complex of abelian groups. Suppose $f, g : \mathcal{C} \to \mathcal{C}$...
0 replies | 26 view(s)
• Today, 01:57
Hi MHB community, My apologies for the delayed post, I was unwell. No one answered this week's problem, but you can read my solution below. ...
1 replies | 94 view(s)
• Yesterday, 23:42
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...
0 replies | 46 view(s)
• Yesterday, 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...
2 replies | 73 view(s)
• February 20th, 2017, 20:40
Hi MWD02! Welcome to MHB! ;) Even if $N$ would be an integer, for $N\ge 5$ this is a polynomial of at least the 5th degree with at least 3 terms,...
4 replies | 104 view(s)
• February 20th, 2017, 17:51
I like Serena replied to a thread Terminology in Analysis
The word canonical means the obvious (choice). For instance, if we start from a 3-dimensional coordinate system, and project the 3rd coordinate to...
3 replies | 85 view(s)
• February 20th, 2017, 14:11
Careful here, we're applying the limit to $sH(s)$, not $H(s)$. Then, we will be able to apply l'Hopital's rule properly. Let me know if that resolves...
3 replies | 79 view(s)
• February 20th, 2017, 02:18
1. IVT and FVT would apply to any transfer function where the poles are located in the left-hand plane (negative real parts) and not more than one...
3 replies | 79 view(s)
• February 19th, 2017, 11:04
MarkFL replied to a thread Hi everyone! in Introductions
Hello and welcome to MHB, Raisa! (Wave)
3 replies | 81 view(s)
• February 19th, 2017, 03:13
Here is this week's POTW: ----- Find the exact value for the real root of the equation $x^3+3x-2=0$. ----- Remember to read the POTW...
0 replies | 64 view(s)
• February 19th, 2017, 02:59
Congratulations to the following members for their correct solution::) 1. kaliprasad 2. lfdahl Honorable mention goes to cmath123, as he has his...
1 replies | 127 view(s)
• February 19th, 2017, 00:03
greg1313 replied to a thread Rhombus question in Geometry
$x=\angle{B},\quad2x+4(180-2x)+120=360\implies x=80^{\circ}\implies\angle{BAD}=100^{\circ}$
3 replies | 66 view(s)
• February 18th, 2017, 23:54
It's just seven. You're squaring the RHS which introduces an extraneous solution.
3 replies | 70 view(s)
• February 18th, 2017, 20:12
Yes. $$= = = 1$$
3 replies | 65 view(s)
• February 18th, 2017, 19:34
Hi FallArk! The $$notation indicates the floor function. That is, rounding down to the nearest integer below x. Btw, I prefer the notation... 3 replies | 65 view(s) • February 18th, 2017, 18:23 Euge replied to a thread [SOLVED] How to prove continuity? in Analysis Yes. 4 replies | 76 view(s) • February 18th, 2017, 18:19 Euge replied to a thread [SOLVED] How to prove continuity? in Analysis It's a great idea, but for this argument to work, f(c) needs to be positive. It's possible to avoid cases by setting \epsilon = \frac12\lvert... 4 replies | 76 view(s) • February 18th, 2017, 17:49 I like Serena replied to a thread [SOLVED] How to prove continuity? in Analysis Hi FallArk! ;) Let's take the definition of continuity into account:$$\lim_{x\to c} f(x) = f(c) \ne 0 This means that for any $\epsilon>0$...
4 replies | 76 view(s)
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