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survey of mathematics

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8 answers available
2005-07-19
Ed (Hybrid Math Instructor)
ed@mathtoearth.org
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calculus
discrete mathematics
number theory
combinatorics
How do I show that `2^(2^n-1)` divides `2^n!`


5 answers available
2005-07-19
Kathy (MLC LIA)
kathy@mathtoearth.org
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algebra
precalculus
calculus
What is an effective way to explain to a student
how to find the range of the function
`f(x)=(x^2-1)/sqrt(4pi-x)`?

6 answers available
2005-07-19
Sample (student)
sample@mathtoearth.org
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precalculus
I was taught that the `log(x^2) = 2log(x)`.
A tutor just told me that the

function
`f(x)=log(x^2)` is not the same function as
`g(x)=2log(x)`.

Why?

4 answers available
2005-07-05
Sample (student)
sample@mathtoearth.org
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precalculus
How do I solve `4^x-3(4^-x)=8`?

 1 answer available 
2005-07-19
Jack (MLC Tutor)
jack@mathtoearth.org
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calculus
How do you evaluate this integral: `int_-1^1frac{e^x}{e^x-1}dx`

 No answers available [Answer]
2005-07-20
Nanette (returning student)
nanette@mathtoearth.org
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[ Answer ]
calculus
How do I use Simpsons rule to approximate to 6 decimal places

`int_0^3frac{1}{1+y^5}dy, n=6` ?

 1 answer available 
2005-07-20
Nanette (returning student)
nanette@mathtoearth.org
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[ Answer ]
algebra
precalculus
calculus
Given a sequence of numbers: 1,2,5,10,17,26..., what is the
best approach to
use to find a formula for the pattern? In
this case the formula is
`(n-1)^2+1`. What steps do I take
that would lead to such a formula?

 No answers available [Answer]
2005-07-19
Nanette (returning student)
nanette@mathtoearth.org
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[ Answer ]
calculus
How do I solve this using trig substitution?
`int sqrt(1-4x^2)dx`

 1 answer available 
2005-07-20
Nanette (returning student)
nanette@mathtoearth.org
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[ Answer ]
calculus
Does the series converge or diverge? If so find its sum.
`sum_(n=1)^oorootn2`

 No answers available [Answer]
2005-07-20
Nanette (returning student)
nanette@mathtoearth.org
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