Math Is Fun Forum

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

Easy Problems

Last edited by ShivamS (2014-08-26 03:00:45)

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: Easy Problems

1.

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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

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.

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

Re: Easy Problems

Hi;

That is correct.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: Easy Problems

By the way, the constants are not unique.

Is the solution for 1 wrong?

---

'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

Can you show another pair?

---

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

By the way, the constants are not unique.

Is the solution for 1 wrong?

Your first equation is correct, but not the second one.

The constants are unique, as bobbym showed.

Last edited by ShivamS (2014-05-01 01:29:40)

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

Re: Easy Problems

Last edited by ShivamS (2014-05-01 01:48:21)

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: Easy Problems

You are correct. Sorry

---

'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.

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.

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

Re: Easy Problems

Hi ShivamS

Both are correct.

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

Re: Easy Problems

3. Let E be an even function and O be an odd function. Determine the symmetry, if any, of E ∘ O.

Last edited by ShivamS (2014-05-01 07:39:06)

ShivamS

Member

Registered: 2011-02-07

Posts: 3,648

Re: Easy Problems

Full Solutions with explanation:
1. Find the general formula for all solutions of 2 cos x + 1 = 0

2. Find the constants b and c in the polynomial p(x) = x^2 + bx + c such that

. Are the constants unique?

I'll add all the problems and full solutions in the first post too.

Last edited by ShivamS (2014-05-01 07:52:09)

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: Easy Problems

3. Let E be an even function and O be an odd function. Determine the symmetry, if any, of E ∘ O.

What does That mean?

---

'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.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Easy Problems

Hi ShivamS

Last edited by anonimnystefy (2014-05-01 22:14:09)

---

“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

3. Let E be an even function and O be an odd function. Determine the symmetry, if any, of E ∘ O.

What does That mean?

Which part do you not understand?

Hi ShivamS

That is correct.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: Easy Problems

What does the notation  E ∘ O mean?

---

'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 a composition of functions.

http://www.mathsisfun.com/sets/function … ition.html

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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.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: Easy Problems

Is it Kaboobly Doo?

---

'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

Heavens no! It is quite useful. There are practical applications for it.

---

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.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: Easy Problems

The URL contains the string 'sets'

---

'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

Have you been there yet?

---

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

Set theory is introduced in India in grade 11 and the Indian government controlling education is smart, so they introduce functions (and therefore inverse functions, composition etc) after set theory in grade 11. I believe it is the first unit in grade 11, so Agnishom will be able to solve that problem soon.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: Easy Problems

Yes, bobbym has taken up the math teacher post in our school.

---

'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

Yes, I have and I am a tough marker.

---

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.