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Random Questions "Attempt II"

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hmm~
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14 years ago
Posts: 989

^nope, definitely not punching in wrong numbers ^_^
http://s4.postimage.org/phkf063zw/Snapshot_20111010.jpg

perhaps it's a calculator error? i really want to know because there's a test coming up...


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Post #500341 - Reply To (#500340) by MewMan
Post #500341 - Reply To (#500340) by MewMan
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Mishy
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14 years ago
Posts: 1737

Quote from MewMan

^nope, definitely not punching in wrong numbers ^_^
http://s4.postimage.org/phkf063zw/Snapshot_20111010.jpg

perhaps it's a calculator error? i really want to know because there's a test coming up...

Try putting a division sign between the 2 and 3. To my knowledge, the sign you used is only for improper fractions, but I could be wrong. I use a TI-84. But even if you don't use a calculator, you can see that the cube root of (-1) is (-1) and (-1)^2 is (1), right?


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hmm~
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14 years ago
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yeah, i know it's 1
it just bugs me that there's a chance of sudden death on a test because of calculation errors
and btw, division sign does not work 🙁


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Post #500343 - Reply To (#500342) by MewMan
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Mishy
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14 years ago
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Quote from MewMan

yeah, i know it's 1
it just bugs me that there's a chance of sudden death on a test because of calculation errors
and btw, division sign does not work 🙁

I'm sorry I can't help you further. I would recommend that you get a TI-83 or TI-84 in the future for your Calculus courses. Anything above your teacher may not allow.


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14 years ago
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/Creeps behind wall..... wants to see pictures of MewMan.... |ω・)

What class is this for, sir MewMan?


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hmm~
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14 years ago
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thank you for your help 🙂
it's too bad but we are not supposed to use a graphic calculator on the test T_T
@Pikapu: Calculus I 😀


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Post #500347 - Reply To (#500346) by MewMan
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Mishy
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14 years ago
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Quote from MewMan

thank you for your help 🙂
it's too bad but we are not supposed to use a graphic calculator on the test T_T
@Pikapu: Calculus I 😀

Just remembered, I'm not allowed either! 🤣


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14 years ago
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I have the older version of that calulator.
The only way around it is to split the fraction.
By that I mean type
( (-1)^2 ) ^(1/3) ) or
( (-1 )^(1/3) ) ^2

I threw in some extra spaces because I was getting confused. Hope it makes sense.


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14 years ago
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You can't use the Mean value theorem because x^(2/3) over the interval (-1,1) is not a smooth curve. It looks like a v.
For mean value theorem, the curve has to be smooth.

(are you not allowed to use the power rule... or is that cheating at your stage?)

It would show you that from -1=>0 d/dx of x^(2/3) is -2/3 and from 0=>1 d/dx of x^(2/3) is 2/3 therefore over the interval DNE... I think... or it's just not differentiable over the interval. Of course, if you are allowed to split it up, you'd be fine... but I don't think that's the case for you.

might want to get to know http://www.wolframalpha.com


... Last edited by Toto 14 years ago
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14 years ago
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I'm not a native english speaker so I hope someone can help me:
my friend asked me for advice if she should write "made by artist (name)" or "made by the artist (name)"
I want to answer her question but I'm not sure...
which phrase is right? (:


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14 years ago
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Either way would work.

You could do, "made by [artist name]." or "made by the artist, [artist name]." In the second version, the comma is necessary.


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Quote from LawX

You are like the dense main character in a shoujo manga.

Quote from Crenshinibon

And you will murder someone one day, pika. If you're my daughter.

Post #500430 - Reply To (#500428) by Pikapu
Post #500430 - Reply To (#500428) by Pikapu
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14 years ago
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Quote from Pikapu

Either way would work.

You could do, "made by [artist name]." or "made by the artist, [artist name]." In the second version, the comma is necessary.

thank you very much


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Mishy
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14 years ago
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I've got a math question:
A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?
A. 8p
B. pq
C. pq + 27
D. -p
E. (p - q)6

I know the right answer is C, but I want to know why E cannot be the answer. The answer given by the question site is

Since the difference between p and q is raised to the power of 6, this expression will be a cube (with cube root = difference squared). But I have no idea what that means. Would someone please explain it to me?


... Last edited by chineserider 14 years ago
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Nulla in mundo pax sincera
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Post #500500 - Reply To (#500490) by chineserider
Post #500500 - Reply To (#500490) by chineserider
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hmm~
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14 years ago
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Quote from chineserider

I've got a math question:
E. (p - q)6

I know the right answer is C, but I want to know why E cannot be the answer. The answer given by the question site is

Since the difference between p and q is raised to the power of 6, this expression will be a cube (with cube root = difference squared). But I have no idea what that means. Would someone please explain it to me?

shouldn't E be (p-q)**^**6 then?
just to be clear: (p-q)^6=((p-q)^2)^3= cube
p, q =perfect cube=integer =>p-q= integer
=>(p-q)^6= perfect cube


... Last edited by MewMan 14 years ago
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Post #500565 - Reply To (#500500) by MewMan
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Mishy
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14 years ago
Posts: 1737

Quote from MewMan

Quote from chineserider

I've got a math question:
E. (p - q)6

I know the right answer is C, but I want to know why E cannot be the answer. The answer given by the question site is

Since the difference between p and q is [b]raised to the power of 6[/b], this expression will be a cube (with cube root = difference squared). But I have no idea what that means. Would someone please explain it to me?

shouldn't E be (p-q)**^**6 then?
just to be clear: (p-q)^6=((p-q)^2)^3= cube
p, q =perfect cube=integer =>p-q= integer
=>(p-q)^6= perfect cube

Ah, I see. I was thinking about it the wrong way. Thanks 🙂


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Nulla in mundo pax sincera
"Always go too far, because that's where you'll find the truth." - Albert Camus

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