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suluclac
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August 17th, 2017,
02:10
MarkFL
replied to a thread
231.12.3.65 Determine the smallest distance between a point and a line
in
Calculus
Small quibble...axis of symmetry is: t=-\frac{1}{105} So, since the parabola opens up, the vertex is a minimum, so the minimum distance will be...
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8 replies | 155 view(s)
August 17th, 2017,
00:59
MarkFL
replied to a thread
231.12.3.65 Determine the smallest distance between a point and a line
in
Calculus
For a parabola of the form: f(x)=ax^2+bx+c We know the axis of symmetry is at: x=-\frac{b}{2a} So, for:
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8 replies | 155 view(s)
August 16th, 2017,
21:58
MarkFL
replied to a thread
231.12.3.63 Determine the smallest distance between point and line
in
Calculus
Isn't this question a duplicate of the following? 231.12.3.65 Determine the smallest distance between a point and a line
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1 replies | 37 view(s)
August 15th, 2017,
17:59
greg1313
replied to a thread [SOLVED]
s10.03.25 Write complex number in rectangular form
in
Trigonometry
It is merely the coefficient of the sine function. Why are you confused? Because $i=\sqrt{-1}$?
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3 replies | 76 view(s)
August 15th, 2017,
17:28
greg1313
replied to a thread [SOLVED]
s10.03.25 Write complex number in rectangular form
in
Trigonometry
$$\sin\left(\frac{7\pi}{4}\right)=-\frac{\sqrt2}{2}$$ The correct answer is $2\sqrt2-2\sqrt2i$. Double-check what you entered into W|A.
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3 replies | 76 view(s)
August 14th, 2017,
21:41
greg1313
replied to a thread [SOLVED]
12 DeMoivre's theorem
in
Trigonometry
Brilliant solution, Mark. I like to avoid such a level of involvement but yours is very instructive. (Yes) Nice thread. :o
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13 replies | 237 view(s)
August 14th, 2017,
06:00
greg1313
replied to a thread
trigonometric function
in
Trigonometry
Let's make a diagram. \begin{tikzpicture} \draw (0,0) node{$A$} -- (4,0) node{$C$} -- (4,4) node{$B$} -- cycle; \end{tikzpicture} ...
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1 replies | 62 view(s)
August 14th, 2017,
01:09
MarkFL
replied to a thread
Solar Eclipse 2017
in
Chat Room
I was just reading about how tree leaves can form "pinhole cameras" and the eclipse can be seen in their shadows:
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4 replies | 162 view(s)
August 13th, 2017,
14:03
MarkFL
replied to a thread [SOLVED]
12 DeMoivre's theorem
in
Trigonometry
In case you're wondering how I obtained the following factorizations: 1+3i=(1+i)(2+i) 2-2i=-(1+i)^3 What I did for the first was to write: ...
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13 replies | 237 view(s)
August 13th, 2017,
10:15
MarkFL
replied to a thread [SOLVED]
12 DeMoivre's theorem
in
Trigonometry
What definition for "complex form" were you given? That was the confusing issue for me. I am aware of rectangular, polar and exponential forms for...
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13 replies | 237 view(s)
August 12th, 2017,
22:07
MarkFL
replied to a thread [SOLVED]
12 DeMoivre's theorem
in
Trigonometry
I'm wondering if what we're supposed to do here is: 1+3i=(1+i)(2+i) 2-2i=-(1+i)^3 And so the product is: ...
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13 replies | 237 view(s)
August 12th, 2017,
20:13
greg1313
replied to a thread [SOLVED]
12 DeMoivre's theorem
in
Trigonometry
$$q=\arctan(3)$$ $$w=\arctan(-1)$$ $$\sqrt{10}(\cos(q)+i\sin(q))\cdot\sqrt{8}(\cos(w)+i\sin(w))=8+4i$$
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13 replies | 237 view(s)
August 12th, 2017,
10:32
greg1313
replied to a thread
Probability of 2 Green Marbles
in
Basic Probability and Statistics
Well, what is the probability that the first marble selected will be green? With replacement, that's also the probability that the second marble...
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7 replies | 150 view(s)
August 12th, 2017,
10:11
greg1313
replied to a thread
Probability of 2 Green Marbles
in
Basic Probability and Statistics
With or without replacement?
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7 replies | 150 view(s)
August 12th, 2017,
09:55
greg1313
replied to a thread
Find AC
in
Pre-Calculus
That is assuming AC is a straight line, of course. If not, how do we answer?
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3 replies | 71 view(s)
August 12th, 2017,
09:44
greg1313
replied to a thread
Find AC
in
Pre-Calculus
If AB = BC and BC = 9 then AB = 9. AB + BC = AC = 9 + 9 = 18.
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3 replies | 71 view(s)
August 11th, 2017,
21:53
greg1313
replied to a thread [SOLVED]
hcc8.11 change each to complex form and find product
in
Trigonometry
What you're asking is not clear. Can you quote directly from your source? Do you mean "DeMoivre's theorem"?
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3 replies | 65 view(s)
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