|
|
|
|
|
|
|
|
Expansion on a steel boat |
2007-06-28 |
|
From JOHN: that is the expansion on a steel boat that is 300' long by 100' wide.
if the water temp is 72deg f. and the deck temp is at 150deg f.
I think the deck would grow in all dir. and by what dist? do I still use
0.00000645 Answered by Stephen La Rocque. |
|
|
|
|
|
How do I convert milliliters(powder form) to grams? |
2007-06-28 |
|
From ed: How do I convert milliliters(powder form) to grams Answered by Harley Weston. |
|
|
|
|
|
log(0.81) |
2007-06-28 |
|
From Ade: If log 3 = 0.477 . The answer of log 0.81 Answered by Harley Weston. |
|
|
|
|
|
The roots of (x - k)(1-3x) + 1 = 0 |
2007-06-28 |
|
From Claire: Show that the roots of (x - k)(1-3x) + 1=0 are real and distinct for all real values of k. Hence, or otherwise, find the range of 9sin^2 r - 6sin r + 13 Answered by Harley Weston. |
|
|
|
|
|
Some continuity questions |
2007-06-28 |
|
From Mac: Can you please help me out to solve this.
problem 1
-----------
which of the following statement is true or false ?
a) f(x) = x + [x], x is the member of Z is not continuous at x=0
b) lim x->0+ (f'(x)) = lim x->0- (f'(x))
my doubt here is, what is that [x] in that function ?
problem 2
-----------
f(x) = [x] + 1 over positive integer including 0. what is the total number of
point of discontinuities of f(x) ?
Again this [x] confuses me, because if i take [x] this as |x|, then this function is
continuous. can you please help me out ? Answered by Harley Weston. |
|
|
|
|
|
The number of blocks on the face of a pyramid |
2007-06-27 |
|
From Heather: I was wondering if there was an equation in order to calculate the number of blocks on the face of a pyramid.
For example:
X
X X
X X X
Is there a specific formula in order to calculate that there are
6 blocks here?
Thank You,
Heather Answered by Harley Weston. |
|
|
|
|
|
Log base 2 of log base 2 of x |
2007-06-27 |
|
From alex: y = log base 2 of lag base 2 of x
The slope of the tangent to the given curve at its x-intercept is..? Answered by Harley Weston. |
|
|
|
|
|
Splitting the profits unequally |
2007-06-27 |
|
From Maci: We recently hosted a fundraiser.
Not everyone will receive a whole share of the profits
because they did not participate the entire time.
Several will receive only 1/2 or 1/3 share.
How do I divide the profits? Answered by Stephen La Rocque. |
|
|
|
|
|
Using Heron's Formula to help maximize the area of a triangle |
2007-06-27 |
|
From Claire: Given one side of a triangle is 4 cm and the ratio 1:3 for the other 2 sides. What is the largest area of the triangle? Answered by Stephen La Rocque and Harley Weston. |
|
|
|
|
|
How do I convert inches to mm in my head? |
2007-06-27 |
|
From philip: Hi, I would like to know how to convert inches to mm in my head, I use socket sets and want to know an easy way to work out what 3/16, 7/32 is in mm. Thanks Phil Answered by Harley Weston. |
|
|
|
|
|
An odd number with 12 factors |
2007-06-27 |
|
From Wilson: Do you know of any odd number that has 12 factors? Reply back today.
Because I have hand in a project tomorrow. Answered by Stephen La Rocque and Harley Weston. |
|
|
|
|
|
The area of an irregular polygon |
2007-06-27 |
|
From chris: finding square footage of a polygon with unequal measurements Answered by Stephen La Rocque and Harley Weston. |
|
|
|
|
|
The smallest 5-digit even number |
2007-06-26 |
|
From charles: Using the digits 0,1,2,3,4 and 5 only once give the smallest 5-digit even number Answered by Penny Nom. |
|
|
|
|
|
Edging around a pool |
2007-06-26 |
|
From Celeste: I have a 27ft. above ground pool. I want to put edging around it but do not know how many feet of edging I need. Can You help? The edging will be approximately 2 feet away from the pool. Answered by Penny Nom. |
|
|
|
|
|
sin|x| and cos|x| |
2007-06-25 |
|
From Mac: Can anyone tell me whether sin|x| and cos|x| is differentiable at x=0 ?
As far as i know, cos(x) and sin(x) is differentiable at all x. Answered by Penny Nom and Stephen La Rocque. |
|
|