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#1 Re: Help Me ! » Graph Theory? » 2016-01-31 10:18:44

Agnishom wrote:

You want to count the number of elements in the set { d : d = x^2 + y^2 ; 3 >= x,y >= 0}

This was in my math HW.

#2 Help Me ! » Graph Theory? » 2016-01-30 00:42:36

mathgogocart
Replies: 12

Having trouble with this- is there a faster way of doing this than counting up everything?
A 4 by 4 grid of points is shown below. Each point is 1 unit from it's nearest horizontal and vertical neighbors. What is the greatest number of segments that can be drawn using pairs of these points as endpoints, such as no two segments are the same length.
AY5nby5.png

#3 Re: Help Me ! » Urgent system of linear equations » 2016-01-29 06:34:23

Nehushtan wrote:
mathgogocart wrote:

y=x+32
y+4=5(x+4)

Shouldn't it be 36 because 32+4 years is 36?
Sorry if I seem kinda brushed up on this.

#4 Help Me ! » Urgent system of linear equations » 2016-01-29 05:44:33

mathgogocart
Replies: 6

Help, I keep getting negative results
A father is 32 years older than his son. In 4 years, the father will be 5 years older than his son. How old is each now?
I have made these
y=x+32
y+4=5(x+36)
in 4 years
y= fathers age
x=sons age?
Can someone help me?

#5 Re: Help Me ! » Help... Concave Downwards? » 2016-01-29 03:39:50

bob bundy wrote:

Ok.  I'll post what I've got.  (Bear in mind I've never heard of this concavity test.)

Step 1.  What is the function for f'' ?  (Assuming it is a polynomial)

It has four roots so a good trial is

There is an objection to this;  it doesn't go through (0,11)

This is easily corrected by introducing a multiplier of 11/18.  As we are only concerned with the shape of the graph a re-scaling such as this is irrelevant so I'll not bother.

I have tried this on the MIF function grapher and it looks ok.

Step 2.  What does the graph f' look like?  We have enough information from the given graph to make a good 'stab' at this.

It should have four turning points at x = -3, -2, 1 and 3.  Looking closely at the behaviour close to x = -3 we can see that f' will have a positive gradient just to the left of x = -3, and a negative gradient just to the right.  So f' has a local maximum at x = -3.  Similarly the next three are minimum, maximum and minimum respectively.

That's enough to sketch the graph.

But I thought I would integrate f'' to get an algebraic function:

http://i.imgur.com/6uembH5.gif

I have re-scaled to make a better image of the shape of the graph.

There could also be a constant of integration but all this does is shift the graph up or down parallel to the y axis, so it doesn't affect the shape.

Step 3.  What does the graph f look like?

Depending on that constant of integration it might more than one turning point.  Since the test should work for any graph that double differentiates to f'', I'll just try integrating the f' function.

http://i.imgur.com/d03BPqo.gif

f'' is negative in the interval (1,3) .  To establish whether the graph is downwardly concave in this interval it is necessary to determine the exact position of the points of inflexion. 

For f', the gradient is negative from 1 to 3 so that seems to confirm the concavity.

In the interval (-3,-2) the gradient is similarly negative.  I think that is it although my head is aching so much I'll have to come back to this later to check what I'm saying.  dizzy

Bob

Yeah but how do you do it on the go? Khan says that it can be solved by looking at the graph.

#6 Help Me ! » Help... Concave Downwards? » 2016-01-28 15:25:14

mathgogocart
Replies: 4

http://prntscr.com/9w849a
http://prntscr.com/9w846x Would I be correct on this? Also how do you tell wether a (-infinity,-3) is concave up or down

#7 Re: Help Me ! » help! -Concavity Hints? » 2016-01-28 05:01:51

bob bundy wrote:

hi mathgogocart

I had to look up concavity as I'd not met it before.  Here's a link:

https://www.math.hmc.edu/calculus/tutor … condderiv/

You graph may be divided into 5 sections: (1) up to -3  (2)  -3 to -1   (3)  -1 to +1   (4)  +1  to +2 (5) above + 2

From that page it would seem that the function is concave upwards for (2) and (4) and concave downwards elsewhere.  Hope that helps,

Bob

ps.  The theorem only applies to open intervals as  f'' is zero at the 4 points.

pps.  If you attempt a sketch of the f' graph you will see that, for example, in the interval -3 to -1, the gradient is increasing meaning the f graph is concave upwards.

Thank you!

#8 Help Me ! » help! -Concavity Hints? » 2016-01-27 15:59:53

mathgogocart
Replies: 2

EdrKk1d.png
2LC0LNz.png
-3 to -1 seems to be downwards(concave) so I chose that
1 to 2 is also downward(concave)
and 2 to ∞ is downwards

Am I right?

#9 Help Me ! » Rectangle Word Problems? » 2016-01-26 11:15:56

mathgogocart
Replies: 3

Ok so I was just brushing up algebra skills for the test next week and I ran in a bump with this problem.
2. The perimeter of a rectangle is 48m. The width of the rectangle is 2 more than half the length. Find length and width.
So I set up these 2 equations

2l+2w=48

and

2w-4=l
(solved from w=l/2+2)
and got this
2(2w-4)+2w=48
4w-8+2w=48
6w-8=48
6w=56
w=28/3
Is this wrong because all the awnsers said they were integers..?

#10 Help Me ! » Just a check-up » 2016-01-26 04:02:25

mathgogocart
Replies: 1

Flossing skills, is this right? http://prntscr.com/9v3kw8

#11 Help Me ! » Critical Numbers-Help! » 2016-01-22 12:29:10

mathgogocart
Replies: 3

tCW1f79.png
Is this the right awnser?
at -5 the result is 0 so I chose that it was a critical point.
and number 2 question is TRUE, edited because undefined./

#12 Re: Help Me ! » Maxima and Critical points help » 2016-01-22 08:10:22

Nehushtan wrote:

There should be five critical points altogether: two local maxima, one local minimum, and two non-differentiable points of inflection.

I understand, already got it.

#13 Help Me ! » Maxima and Critical points help » 2016-01-21 15:48:32

mathgogocart
Replies: 2

I was doing some Khan to refresh my calc and this happened

DiR05TC.png

I see there are ciritical points at -1 and 3 however there is no -1.

#14 Re: Dark Discussions at Cafe Infinity » Forum Dead? » 2015-12-25 16:55:40

Agnishom wrote:

It can but the administrator does not want a chatroom.

Two years back, I suggested that we completely archive the current forum and install a new software. He was too busy to listen.

Dang, so is there anyway we could update the forum software to be more interactive like profile pages, etc.?

#15 Re: Dark Discussions at Cafe Infinity » Forum Dead? » 2015-12-25 16:48:53

Agnishom wrote:

We need o improve on the forum software

I agree. Could a chatroom at least be implemented?

#16 Help Me ! » Derivative Help? » 2015-12-25 16:02:14

mathgogocart
Replies: 1

http://prntscr.com/9ilh27

Is my problem

I have worked through it and I have got this
Bs6v7bc.jpg
Help?

#17 Re: Dark Discussions at Cafe Infinity » Forum Dead? » 2015-12-25 15:27:31

Yes, so?
We need more interactive profiles

#18 Re: Dark Discussions at Cafe Infinity » Forum Dead? » 2015-12-24 05:40:00

bobbym wrote:

Hi mathgogocart;

Something wrong with your profile?

what do you mean?

#19 Re: Dark Discussions at Cafe Infinity » Forum Dead? » 2015-12-24 04:51:30

bobbym wrote:

bobbym if ya see this

I went there but could not get very far. What is that place all about?

A game
also..http://www.mathisfunforum.com/profile.p … &id=188456

#20 Re: Dark Discussions at Cafe Infinity » Forum Dead? » 2015-12-24 04:25:39

I'm just saying the forum looks more light and interactive, tbh.

#22 Re: Dark Discussions at Cafe Infinity » Forum Dead? » 2015-12-24 03:50:01

Relentless wrote:

I believe he means that the forum is not very active or popular, and wants to discuss ways to improve this

Same

#23 Dark Discussions at Cafe Infinity » Forum Dead? » 2015-12-23 07:04:55

mathgogocart
Replies: 62

I believe we should go to a new style?
The forum seems to be dead..?

#25 Re: Help Me ! » Law of sines? » 2015-05-03 06:04:18

Another problem
An astronomer knows the distances from herself to stars AA and BB, as well as the distance between them. The distances are 450450, 400400, and 9090 light years respectively.
If the astronomer's telescope is currently pointed at star AA, how many degrees must she rotate her telescope to see star BB?

^\circ

43468b8f32930224339367bddf1180e16ce2cd17.png

Round your answer to the nearest degree.
Well
what i did
gif.latex?90%5E2%3D400%5E2+450%5E2-2%28400%29%28500%29cos%28c%29
I got
76 degrees...
and they got 10 degrees...

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