Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#26 2014-05-03 23:56:15

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Easy Problems

Is this you?

View Image: bobbym_marker.gif

“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#27 2014-05-04 01:37:55

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 18,897
Website

Re: Easy Problems

Hmmm smile

It also has a sharpened head.

Last edited by Agnishom (2014-05-04 01:39:48)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#28 2014-05-04 01:56:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,866

Re: Easy Problems

That is not me.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#29 2014-05-05 13:28:35

ShivamS
Member
Registered: 2011-02-07
Posts: 3,630

Re: Easy Problems

4. Use Lagrange Multipliers to find the minimum value of

that lie on the hyperbola
.

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#30 2014-05-05 13:35:04

ShivamS
Member
Registered: 2011-02-07
Posts: 3,630

Re: Easy Problems

Agnishom wrote:

What does the notation  E ∘ O mean?

The composition of f(x) and g(x) is f(g(x)). In other words, compositions are evaluated by plugging the second function listed into the first function listed.  Note as well that order is important here.  Interchanging the order will usually result in a different answer.

Last edited by ShivamS (2014-05-05 23:28:58)

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#31 2014-05-05 19:22:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,866

Re: Easy Problems

Hi;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#32 2014-05-06 01:28:47

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Easy Problems

Hi ShivamS


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#33 2014-05-06 01:52:16

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Easy Problems

Hi,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#34 2014-05-06 01:56:34

ShivamS
Member
Registered: 2011-02-07
Posts: 3,630

Re: Easy Problems

bobbym wrote:

Hi;

anonimnystefy wrote:

Hi ShivamS

gAr wrote:

Hi,

All are correct!

This was a nice problem when I first solved it a couple of years/months ago, but I remember that when I drew the picture I had the wrong answer.

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#35 2014-05-06 01:58:54

ShivamS
Member
Registered: 2011-02-07
Posts: 3,630

Re: Easy Problems

5. Let the curve C be given by

between
. Calculate

Last edited by ShivamS (2014-05-23 11:33:31)

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#36 2014-05-18 10:03:44

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Easy Problems

Hi ShivamS


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#37 2014-05-21 21:17:19

zetafunc
Member
Registered: 2014-05-21
Posts: 205

Re: Easy Problems

Last edited by zetafunc (2014-05-21 21:20:46)

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#38 2014-05-23 11:27:07

ShivamS
Member
Registered: 2011-02-07
Posts: 3,630

Re: Easy Problems

Hi zetafunc;

That is correct!

Hi Stefy;
I think you perhaps didn't understand the problem, because we are getting different answers and mine agrees with zetafunc's.

I'm searching for a good problem from my database, but I am mostly finding routine ones (I forgot to sort routine and difficult problems on the set of problems I am looking at).

Here is a problem with OK difficulty:
6. A right circular cone is inscribed inside a larger right circular cone with a volume of 180 cm^3. The axes of the cones coincide and the vertex of the inner cone touches the center of the base of the outer cone. Find the ratio of the heights of the cones that maximizes the inner cone volume.

Last edited by ShivamS (2014-05-23 11:32:49)

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#39 2014-06-13 03:12:21

ShivamS
Member
Registered: 2011-02-07
Posts: 3,630

Re: Easy Problems

Reposting question 6 from last post with new problem.

6. A right circular cone is inscribed inside a larger right circular cone with a volume of 180 cm^3. The axes of the cones coincide and the vertex of the inner cone touches the center of the base of the outer cone. Find the ratio of the heights of the cones that maximizes the inner cone volume.

7. Prove or disprove the following statement

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#40 2014-06-13 12:26:30

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Easy Problems

Hi Shivam


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#41 2014-06-14 05:34:52

ShivamS
Member
Registered: 2011-02-07
Posts: 3,630

Re: Easy Problems

anonimnystefy wrote:

Hi Shivam

Great!

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#42 2014-08-25 22:58:09

Olinguito
Member
Registered: 2014-08-12
Posts: 377

Re: Easy Problems

ShivamS wrote:

7. Prove or disprove the following statement

Last edited by Olinguito (2014-08-25 23:09:13)


Bassaricyon neblina

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#43 2014-08-26 03:03:21

ShivamS
Member
Registered: 2011-02-07
Posts: 3,630

Re: Easy Problems

8. nS4Q7mx.png

Last edited by ShivamS (2014-08-26 03:03:48)

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