Math Is Fun Forum

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Easy Problems

Is this you?

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“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
The knowledge of some things as a function of age is a delta function.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: Easy Problems

Hmmm

It also has a sharpened head.

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

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'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'
I'm not crazy, my mother had me tested.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Easy Problems

That is not me.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

Re: Easy Problems

4. Use Lagrange Multipliers to find the minimum value of

that lie on the hyperbola

.

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

Re: Easy Problems

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)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Easy Problems

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

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
The knowledge of some things as a function of age is a delta function.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: Easy Problems

Hi,

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"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."

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

Re: Easy Problems

Hi;

Hi ShivamS

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.

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

Re: Easy Problems

5. Let the curve C be given by

between

. Calculate

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

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

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
The knowledge of some things as a function of age is a delta function.

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,436

Website

Re: Easy Problems

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

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

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)

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

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

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

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
The knowledge of some things as a function of age is a delta function.

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

Re: Easy Problems

Hi Shivam

Great!

Olinguito

Member

Registered: 2014-08-12

Posts: 649

Re: Easy Problems

7. Prove or disprove the following statement

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

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Bassaricyon neblina

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

Re: Easy Problems

8.

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