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Wilmer
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Today,
11:19
MarkFL
replied to a thread
Prove Trigonometric Identities
in
Trigonometry
Essentially the same, but going in the other direction: Consider: \sin^2(x)=\frac{1-\cos(2x)}{2} Then: ...
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6 replies | 58 view(s)
Today,
04:04
MarkFL
replied to a thread
Year 7 & 8 mathematics puzzle
in
Challenge Questions and Puzzles
My solution: I don't know where $x$ fits into this, however, by inspection, I find: S=\sum_{k=1}^{2016}\left(\frac{k}{k+1}\right)=2017-H_{2017}...
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2 replies | 59 view(s)
Yesterday,
23:52
MarkFL
replied to a thread
Ferris Wheel Problem
in
Pre-Calculus
That doesn't take away from your good advice of plotting points to see what the sinusoidal parametric curves are going to look like. :D
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9 replies | 138 view(s)
Yesterday,
23:50
MarkFL
replied to a thread
Set Up Triple Integral...2
in
Calculus
Just so you have something to check your answers against, observe that we can find the volume using a solid of revolution, a Calc I technique. ...
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3 replies | 43 view(s)
Yesterday,
23:36
MarkFL
replied to a thread
Ferris Wheel Problem
in
Pre-Calculus
You have the Ferris wheel moving in a counter-clockwise direction. (Shake)
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9 replies | 138 view(s)
Yesterday,
19:43
MarkFL
replied to a thread
Set Up Triple Integral...2
in
Calculus
$z$ is going to range from $z=0$ to $z=9$. Along any of these planes, the cross-section will be the circle: x^2+y^2=9-z And so $y$ will range...
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3 replies | 43 view(s)
Yesterday,
09:37
MarkFL
replied to a thread
Numerical Analysis problem Newton's method
in
Advanced Applied Mathematics
Hello, and welcome to MHB, carrab! (Wave) To find the zero, I would equate the function $f$ to zero, and solve for $x$: f(x)=0 x^3-8=0 ...
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1 replies | 57 view(s)
May 25th, 2017,
16:36
MarkFL
replied to a thread
Review of Calculus 2
in
Calculus
Yes, that was exactly the kind of thing I was hoping the OP would state. (Yes)
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13 replies | 215 view(s)
May 25th, 2017,
14:32
MarkFL
replied to a thread
x^6 - y^6 As Difference of Squares
in
Pre-Calculus
You'd wind up with radicals if you do that. :D
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4 replies | 67 view(s)
May 25th, 2017,
11:31
MarkFL
replied to a thread
Ferris Wheel Problem
in
Pre-Calculus
Consider that the way we have our coordinate axes oriented, the rider begins on the $y$-axis. Now, as the wheel begins moving in a clockwise...
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9 replies | 138 view(s)
May 25th, 2017,
11:11
MarkFL
replied to a thread
Ferris Wheel Problem
in
Pre-Calculus
Consider: u(\theta)=\sin\left(-\theta-\frac{\pi}{2}\right)=\sin\left(-\left(\theta+\frac{\pi}{2}\right)\right) Now, since sine is a odd...
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9 replies | 138 view(s)
May 25th, 2017,
02:50
MarkFL
replied to a thread
x^6 - y^6 As Difference of Cubes
in
Pre-Calculus
I'm thinking the intention here is to first use the difference of cubes formula...however, I treated that case in your other thread regarding this...
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3 replies | 63 view(s)
May 25th, 2017,
02:46
MarkFL
replied to a thread
x^6 - y^6 As Difference of Squares
in
Pre-Calculus
Once you've done that' you've applied the difference of squares...to continue factoring further, as you noted, you need to use the sum/difference of...
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4 replies | 67 view(s)
May 25th, 2017,
02:24
MarkFL
replied to a thread
Factor Fourth Degree Expression
in
Pre-Calculus
Yes, that's a great start...next, observe that that form is the square of a binomial: (a+b)^2=a^2+2ab+b^2
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2 replies | 60 view(s)
May 25th, 2017,
02:20
MarkFL
replied to a thread
Factoring Some More
in
Pre-Calculus
We are given to factor: \frac{1}{2}(x-a)^{-\frac{1}{2}}(x+a)^{-\frac{1}{2}}-\frac{1}{2}(x-a)^{\frac{1}{2}}(x+a)^{-\frac{3}{2}} As my first...
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2 replies | 42 view(s)
May 25th, 2017,
02:13
MarkFL
replied to a thread
Another Polynomial to Factor
in
Pre-Calculus
Let's see: ...
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2 replies | 46 view(s)
May 24th, 2017,
21:29
MarkFL
replied to a thread
Ferris Wheel Problem
in
Pre-Calculus
This is how I would answer the questions (with the parameter time $t$ measures in seconds and $x(t),\,y(t)$ measured in ft.): a). ...
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9 replies | 138 view(s)
May 24th, 2017,
12:11
MarkFL
replied to a thread
Find m and n
in
Pre-Calculus
Yep. :D Let's look at using the discriminant as you initially posted. If a quadratic has only one root, then its discriminant must be zero, and...
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4 replies | 91 view(s)
May 23rd, 2017,
23:09
MarkFL
replied to a thread
I can never get started on my Math homework.
in
Chat Room
Okay...well, when I was your age, I was no fan of doing homework either...I think very few middle school students are excited about doing homework....
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4 replies | 92 view(s)
May 23rd, 2017,
22:51
MarkFL
replied to a thread
I can never get started on my Math homework.
in
Chat Room
Hello, and welcome to MHB, I hate homework! (Wave) I moved your thread here, because our "Math Motes" forum is for threads of an...
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4 replies | 92 view(s)
May 23rd, 2017,
21:10
MarkFL
replied to a thread
Find m and n
in
Pre-Calculus
What I would do is from the given information, we know: x^2+mx+n=(x+3)^2 Expand the RHS, and then equate coefficients to determine $m$ and $n$....
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4 replies | 91 view(s)
May 23rd, 2017,
19:52
MarkFL
replied to a thread
Exponential Equation!
in
Pre-Algebra and Algebra
Hello and welcome to MHB, ScrewedIre! (Wave) We ask that our users show their progress (work thus far or thoughts on how to begin) when posting...
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2 replies | 73 view(s)
May 23rd, 2017,
19:22
MarkFL
replied to a thread
Need help with ratio problem!
in
Pre-Algebra and Algebra
Jackson got 30% of the votes, which is 3,696 votes. This means that together, Morris and Victor got the remaining 70%, which is 8,624 votes. Morris...
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1 replies | 63 view(s)
May 23rd, 2017,
19:05
MarkFL
replied to a thread [SOLVED]
242.17.8 Solve the given equation by variation of parameters.
in
Differential Equations
After almost 7 years of helping with math online, I think in $\LaTeX$ now. (Nerd) It really takes little time...and when I am posting a series of...
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4 replies | 133 view(s)
May 23rd, 2017,
14:55
MarkFL
replied to a thread
Solving Trig Identities
in
Pre-Calculus
Are you sure you've copied it correctly? It appears to me that the actual identity should be: ...
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2 replies | 90 view(s)
May 23rd, 2017,
10:02
MarkFL
replied to a thread
Factor "Crazy" Expression
in
Pre-Calculus
That's just a placeholder to make factoring a little easier...once you get more practice you won't need it. Also, it's part of how I choose to...
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4 replies | 107 view(s)
May 23rd, 2017,
09:48
MarkFL
replied to a thread
More and More Factoring
in
Pre-Calculus
You've dropped one of the 1's there...:D
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4 replies | 84 view(s)
May 23rd, 2017,
09:38
MarkFL
replied to a thread
More Factoring
in
Pre-Calculus
Yes, then combine like terms. :D
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4 replies | 85 view(s)
May 23rd, 2017,
02:24
MarkFL
replied to a thread
Factor "Crazy" Expression
in
Pre-Calculus
I would begin by using rational exponents in place of the radical notation: ...
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4 replies | 107 view(s)
May 23rd, 2017,
02:17
MarkFL
replied to a thread
Factoring With Negative Powers
in
Pre-Calculus
We are given to factor: \left(x^2+1\right)^{-\frac{2}{3}}+\left(x^2+1\right)^{-\frac{5}{3}} So, we factor out the expression with the smaller...
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2 replies | 73 view(s)
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