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Type: Posts; User: MathMaven53

1. ## Question: Question about Proof of Real Number..

by MathMaven53
3
Views
1,121

### a b= 0 If a not equal to 0 we can divide both...

a b= 0
If a not equal to 0 we can divide both sides by a
a b divided by a equals b
0 divided by a equals 0
Then b = 0
Similarly assume b not equal to 0
Then divide a b=0 by b
2. ## Question: Problem solving help me

by MathMaven53
3
Views
648

### Solve these equations where variables are first...

Solve these equations where variables are first letters of their names.

H + F = 120
H + P = 230
P = 6F

Hint: Substitute for P in second equation. Then you have two equations in variables...
3. ## Question: Infinite series

by MathMaven53
2
Views
2,072

### I thought you were summing (-1)^(n-1) (6n)/e^(2n)...

I thought you were summing (-1)^(n-1) (6n)/e^(2n) from n =1 to infinity
The problem you were solving is summing (-1)^(n-1) (6^n)/e^(2n)

My problem involves summing n r^n from n=1 to infinity for...
4. ## Question: 1 as a sum of unit fractions

by MathMaven53
9
Views
1,366

### 1 = 1/2 + 1/2 = 1/2 + (1/2 - 1/3) + 1/3 ...

1 = 1/2 + 1/2
= 1/2 + (1/2 - 1/3) + 1/3
= 1/2 + 1/3 + 1/6
= 1/2 + 1/3 + 1/7 + (1/6 -1/7)
= 1/2 + 1/3 +1/7 + 1/42
= 1/2 + 1/4 + (1/3-1/4) + 1/7 + 1/42
= 1/2 + 1/4 + 1/7...
5. ## Question: A prize if you can answer this...

by MathMaven53
4
Views
1,466

### I Need Help

Some times partial fractions can be easily done.

Lets get the function x^2 in terms of x+2

x^2 = [x+2-2]^2

= (x+2)^2 -4(x+2)+ 4

Then x^2 /(x+2)^3 = 1/(x+2) -4(x+2)^2 +4/(x+2)^3...
6. ## Question: Trig question

by MathMaven53
5
Views
1,730

### Trig question

Let's express the equation in terms of Sin(x)

We have 2 Cos^2 (x) + Sin(x) =1

We use Cos^2 (x) = 1 - Sin^2(x)

After substituting and simplifying we get the equation

2 Sin^2(x) -...
7. ## Question: Trig Identities

by MathMaven53
7
Views
3,461

### Trig Identity

1- cot^2 t = 1 - cos^2 t/sin^2 t

= (sin^2 t - cos^2 t)/sin^2 t

= - cos 2t/sin^2 t

Note that cos^2 t - sin^2 t = cos 2t

2sin^2 t = 1 - cos 2t
8. ## Question: Proof by Induction

by MathMaven53
3
Views
2,619

### Induction Proof

1/(1x3) + 1/(2x4) +... + 1/n(n+2) = n(3n+5)/4(n+1)(n+2)

True for n=1

1/(1*3) = 1(8)/[4(2)(3)]

since both sides reduce to 1/3

Assume that
9. ## Question: Probability

by MathMaven53
3
Views
1,597

### Re: Probability

There are five primes between 1 and 11 inclusive:
2,3,5,7,11

The probability of picking any integer between 1 and 11
inclusive is 1/11 so the probability of picking a prime
between 1 and 11...
10. ## Question: Homework problem

by MathMaven53
2
Views
1,454

### Re: Homework problem

Let S be son's age now. Then in 6 years he will
be S + 6 years old
Let F be father's age now. Then in 6 years he will be
F + 6 years old

Now the father is 4 times as old as his son

F =...
11. ## Question: Problem dilemma

by MathMaven53
4
Views
1,247

### Re: Problem dilemma

It's been years since I have studied Physics but I'll
work with the equations and you can substitute values into them.

Let s be distance brick falls,m the mass of the brick, g be...
12. ## Question: Math word problem

by MathMaven53
7
Views
2,508

### Re: Math word problem

Let x be the value two years ago

Then in one year it is worth (3/4)x
In two years it is worth (3/4)[(3/4)x]

This equals (3/4)^2 * x and we know that it also
equals \$90

So solve for x...
13. ## Question: Algebra

by MathMaven53
1
Views
1,620

### algebra

:)
(x^m+2)(x^-2)(x^m-5)

= (x^m + 2)x^(m-7)

Used law of exponents for x powers

= x^m x^(m-7) + 2x^(m-7)

Used distributive law
14. ## Question: Need Algebra Help!

by MathMaven53
1
Views
1,564

### Need Algebra Help!!

6x^4=(3x^2)( )

The missing factor must contain 2 since 6=2 * 3
it also contains x^2 since x^4 = x^2 x^2

So 6x^4 = (3x^2)(2x^2)

-35x^2y = (-5xy)( )

The missing factor contains 7 and x
15. ## Question: Math symbol text editor

by MathMaven53
1
Views
5,838

### Math symbol text editor

Where on the internet can I find a free, non-shareware
Math symbol text editor? By non-shareware, I mean that
It will not stop working after 30 days and require payment to get codes to unlock the...
16. ## Question: Need a help with this math

by MathMaven53
1
Views
1,588

### Need a help with this math

75 billion dollars times thickness of a dollar bill in inches

Times 1/12 feet per inch divided by 5280 feet per mile
17. ## Question: Algebra

by MathMaven53
1
Views
1,386

### M^2 + N^2 M^2 + N^2 Re: Algebra

We are given M+N=3 and M^2 + N^2 =6

Factor M^3 + N^3

M^3 + N^3 = (M+N)(M^2 -MN + N^2)

= (M+N)(M^2 + N^2 - MN)

We have all quantities on the right side except MN
18. ## Question: Algebra

by MathMaven53
1
Views
1,409

### Algebra

:) If 2x+1 is a factor of 2x^2 + 7x + k, then

X = -1/2 is a root of 2x^2 + 7x + k = 0

Then by substitution of x=-1/2

2/4 -7/2 + k = 0

Solve for k and you get k=3
19. ## Question: Epsilon delta proofs

by MathMaven53
2
Views
5,804

### epsilon delta proofs

|x^3 - 8| = |(x-2)(x^2 + 2x + 4)|
20. ## Question: Graphing

by MathMaven53