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We are an online community that gives free mathematics help any time of the day about any problem, no matter what the level. You will have to register before you can post. To start viewing messages, select the forum that you want to visit from the selection below.
MarkFL
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Today,
16:50
MarkFL
replied to a thread
Find the areas of the shaded regions.
in
Geometry
14.) I would take the area of the circular sector, and subtract from it the area of the triangle to get the shaded area \(A\): ...
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1 replies | 25 view(s)
Today,
02:57
MarkFL
replied to a thread
Areas of plane figures
in
Geometry
I just noticed you are instructed to round to the nearest tenth, not ten. :) To find the height you need to use: 3^2+h^2=8^2\implies...
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3 replies | 53 view(s)
Today,
01:55
MarkFL
replied to a thread
Areas of plane figures
in
Geometry
1.) The area for a trapezoid is given by: A=\frac{h}{2}(B+b) Plugging in the given values, we find: A=\frac{6\text{ m}}{2}(11+10)\text{...
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3 replies | 53 view(s)
Yesterday,
22:18
MarkFL
replied to a thread [SOLVED]
1.1.2 initial value problem
in
Differential Equations
We have: \frac{d}{dt}\left(e^{-2t}y\right)=-5e^{-2t} Integrate using the boundaries: \int_{y_0}^{e^{-2t}y}\,du=-5\int_{0}^{t}e^{-2v}\,dv ...
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7 replies | 95 view(s)
Yesterday,
20:08
MarkFL
replied to a thread [SOLVED]
1.1.2 initial value problem
in
Differential Equations
In your last line, on the LHS, you want: \left(e^{-2t}y\right)' Or what I would write: \frac{d}{dt}\left(e^{-2t}y\right) And on the RHS,...
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7 replies | 95 view(s)
Yesterday,
16:48
MarkFL
replied to a thread
Geometry help. Arc help
in
Geometry
Note that the instructions say to express your answers in terms of \(\pi\). :)
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2 replies | 56 view(s)
Yesterday,
16:45
MarkFL
replied to a thread
Find the area of the shaded region in terms of pi. (Geometry)
in
Geometry
I would first reduce: \frac{270^{\circ}}{360^{\circ}}=\frac{3}{4} And so we now have the area \(A\): A=\frac{3}{4}\pi r^2 Can you...
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3 replies | 61 view(s)
December 11th, 2018,
02:44
MarkFL
replied to a thread
Special triangles problem and distance
in
Pre-Calculus
I would let \(d_C\) be the distance from point C to the tree in meters, and so we may write: \tan\left(30^{\circ}\right)=\frac{4}{d_C}\implies...
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1 replies | 58 view(s)
December 11th, 2018,
02:18
MarkFL
replied to a thread
don't understand the question
in
Pre-Calculus
You haven't studied Euler's formula? How about de Moivre's theorem?
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3 replies | 61 view(s)
December 11th, 2018,
00:08
MarkFL
replied to a thread
don't understand the question
in
Pre-Calculus
I would let: y=8\left(\frac{\sqrt{3}}{2}+\frac{1}{2}i\right)=8e^{\Large\frac{\pi}{6}i} Can you proceed?
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3 replies | 61 view(s)
December 9th, 2018,
18:49
MarkFL
replied to a thread
Area of iscoceles triangle
in
Pre-Calculus
Let's check your answer using Heron's formula...the semi-perimeter \(s\) is 8, hence: A=\sqrt{8(8-6)(8-6)(8-4)}=\sqrt{2^7}=8\sqrt{2}\quad\checkmark
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1 replies | 50 view(s)
December 8th, 2018,
22:52
MarkFL
replied to a thread
Could someone check my answer?
in
Pre-Calculus
I would begin with the double-angle identity for the tangent function: \tan(2\theta)=\frac{2\tan(\theta)}{1-\tan^2(\theta)} Using the value...
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2 replies | 73 view(s)
December 8th, 2018,
20:18
MarkFL
replied to a thread [SOLVED]
2.2.20 initial value and interval...trig subst
in
Differential Equations
Yes, I would let: \theta=\arcsin(x)\implies x=\sin(\theta)\implies dx=\cos(\theta)\,d\theta And then we have after simplification, and using...
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4 replies | 100 view(s)
December 6th, 2018,
20:31
MarkFL
replied to a thread
profile upgrade
in
Questions, Comments, and Feedback
Good idea! Done. (Cool)
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7 replies | 182 view(s)
December 6th, 2018,
17:25
MarkFL
replied to a thread
profile upgrade
in
Questions, Comments, and Feedback
Whoops...I already removed it. :(
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7 replies | 182 view(s)
December 6th, 2018,
17:16
MarkFL
replied to a thread
profile upgrade
in
Questions, Comments, and Feedback
I put that there when you requested a badge. You don't like it? (Crying)
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7 replies | 182 view(s)
December 4th, 2018,
15:27
MarkFL
replied to a thread
HELP! How to calculate wage for assistants at hair salon?
in
Business Mathematics
Using your example data, I would look first at stylist A and see that during their time working, there were 13 hours worked by the assistants. For...
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2 replies | 96 view(s)
December 4th, 2018,
13:31
MarkFL
replied to a thread
Composit Functions
in
Pre-Calculus
Hello, and welcome to MHB! (Wave) We are given: g(x)=2f(x-1) We are also given 5 points in the form: (x,f(x))
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2 replies | 93 view(s)
December 3rd, 2018,
20:22
MarkFL
replied to a thread [SOLVED]
de2.2.12 dr/dθ = r^2/θ, r(1) = 2 IVP, graph, interval
in
Differential Equations
You have: \frac{1}{r}=-\ln(\theta)+\frac{1}{2} If we combine terms on the RHS: \frac{1}{r}=\frac{1-2\ln(\theta)}{2} Invert both sides:
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8 replies | 224 view(s)
December 2nd, 2018,
00:16
MarkFL
replied to a thread [SOLVED]
de2.2.12 dr/dθ = r^2/θ, r(1) = 2 IVP, graph, interval
in
Differential Equations
You want a negative sign on the left resulting from the application of the power rule. :)
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8 replies | 224 view(s)
December 2nd, 2018,
00:13
MarkFL
replied to a thread
Find the degrees of an angle
in
Geometry
Suppose the 3 points are given by: \left(x_i,y_i\right) where i\in\{1,2,3\} Now further suppose we wish to make one line segment from point 1...
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1 replies | 103 view(s)
December 1st, 2018,
23:34
MarkFL
replied to a thread [SOLVED]
de2.2.12 dr/dθ = r^2/θ, r(1) = 2 IVP, graph, interval
in
Differential Equations
I would begin with: \int_2^r u^{-2}\,du=\int_1^{\theta} v^{-1}\,dv What's the next step?
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8 replies | 224 view(s)
December 1st, 2018,
20:07
MarkFL
replied to a thread [SOLVED]
de2.2.11 initial value, graph, intervals
in
Differential Equations
Suppose you have the initial value problem (IVP): \frac{dy}{dx}=f(x) where y\left(x_0\right)=y_0 Now, separating variables and using indefinite...
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5 replies | 147 view(s)
December 1st, 2018,
16:56
MarkFL
replied to a thread [SOLVED]
de2.2.11 initial value, graph, intervals
in
Differential Equations
I would arrange the given ODE as: y\,dy=-xe^x\,dx Exchange dummy variables and integrate, using the given boundaries: \int_1^y...
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5 replies | 147 view(s)
December 1st, 2018,
16:26
MarkFL
replied to a thread
Scroll Up/Down Buttons
in
vBulletin Products
Update - Version 1.1: Added support for Font Awesome icons as button arrows Added StyleVars for additional customization of element styling
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1 replies | 207 view(s)
November 30th, 2018,
15:59
MarkFL
replied to a thread
Need formula for solving ellipse radius with equal spacing points
in
Trigonometry
Jello, and welcome to MHB! (Wave) I think what I would do is use a parametric representation of the given ellipse: x(t)=r_{10}\cos(t) ...
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5 replies | 184 view(s)
November 28th, 2018,
22:12
MarkFL
replied to a thread
find the sin angle between two 2d vectors
in
Pre-Calculus
Once you know \(\cos(\theta)\), then given \(0\le\theta\le\pi\), we may use a Pythagorean identity: \sin(\theta)=\sqrt{1-\cos^2(\theta)}
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1 replies | 151 view(s)
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December 13th, 2018
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Re: 1.1.2 initial value problem
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We have: ...
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Re: 1.1.2 initial value problem
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MarkFL
We have: ...
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Re: 1.1.2 initial value problem
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We have: ...
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Re: 1.1.2 initial value problem
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In your last line, on...
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Re: Geometry help. Arc help
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Note that the...
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Re: Find the area of the shaded region in terms of pi. (Geometry)
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I would first reduce: ...
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Re: Areas of plane figures
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MarkFL
I just noticed you are...
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Re: Areas of plane figures
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MarkFL
1.) The area for a...
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Re: Areas of plane figures
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1.) The area for a...
December 12th, 2018
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Re: 1.1.2 initial value problem
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MarkFL
We have: ...
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Re: 1.1.2 initial value problem
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$\quad\displaystyle...
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Re: 1.1.2 initial value problem
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In your last line, on...
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In your last line, on...
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Have a laff!
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There once was a pretty...
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Re: Find the area of the shaded region in terms of pi. (Geometry)
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I would first reduce: ...
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Re: Geometry help. Arc help
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Note that the...
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So ive been able to...
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Problem Of The Week #344 Dec 12th, 2018
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Here is this week's...
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No one answered last...
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Problem Of The Week # 334 - Dec 11, 2018
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