 |
|
|
|
|
|
|
|
|
Squares on a chess board |
2001-04-11 |
|
From Tom:
It was once claimed that there are 204 squares on an ordinary chessboard (8sq. x 8sq.) Can you justify this claim? "PLEASE" include pictures. How many rectangles are there on an ordinary chessboard? (8sq. x 8sq.) "PLEASE" include pictures.
Answered by Penny Nom. |
|
|
|
|
|
|
Compound interest |
2001-04-11 |
|
From A student:
What principal will grow to $1367.10 after 1 year at 10% compounded semi-annually?
Answered by Claude Tardif and Penny Nom. |
|
|
|
|
|
|
Prisms |
2001-04-10 |
|
From A fourth grade class:
A fourth grade class is curious about the names that have been given to various solid geometric figures based on their shapes: are there names for solids based on a rhombus, a trapezoid, a parallelogram, a decagon, and/or a quadralateral?
Answered by Chris Fisher. |
|
|
|
|
|
|
Parabola problems |
2001-04-10 |
|
From Kathleen:
- Graph each function and state its domain and range. y = 3x2 + 4
- For each parabola find: i) the direction of opening
ii) the coordinates of the vertex
iii) the y-intercept
iv) the x-intercepts y = x2 + 3
- Find the equation of each parabola vertex at (0, -2) and passing through the point (3,7)
Answered by Harley Weston. |
|
|
|
|
|
|
Integration by parts |
2001-04-09 |
|
From A student:
how do you integrate x tan-1x dx, i know it can be done by integration by parts maybe, but i'm not sure....
Answered by Claude Tardif and Harley Weston. |
|
|
|
|
|
|
Les dimensions d'un rectangle |
2001-04-09 |
|
From Un elévè:
1. Les dimensions d'un rectangle sont a et b Si on augmente a de 3cm et b de 2cm, l'aire du rectangle augmente de 37 cm2, mais si on diminue a de 2cm et b de 1cm, l'aire du rectangle diminue de 16cm2. Quelles sont les valeurs de a et b? 2. Quelle est la valeur numerique de l'expression (ac+bd)+(ad-bc) sachant que a+b=1 et que c+d=1? Quelles sont les regles essentielles qui me manquent pour resoudre ceci?
Answered by Claude Tardif. |
|
|
|
|
|
|
The domain of a function |
2001-04-08 |
|
From Mina:
Let f(x) = (2x2+3x-17)/(x+5)
What is the domain of f? What are the values of x for which f'(x) does not = 0?
Answered by Harley Weston. |
|
|
|
|
|
|
The normal to a curve |
2001-04-08 |
|
From Varenne:
I am having SO much trouble tackling this question and don't know what the right answer is... can you help me out? The question is
Find the equation of the normal to the curve y=(x-2)2/(1-x)2 that is parallel to the line x+4y+7=0
Answered by Harley Weston. |
|
|
|
|
|
|
Five fourths |
2001-04-08 |
|
From Linda:
Can you have 5/4 of something?
Answered by Penny Nom. |
|
|
|
|
|
|
Equivalent fractions |
2001-04-08 |
|
From A student:
which of the following pairs of fractions are equivalent?
questions a-f
(a) 1/5 and 6/30
(b) 4/9 and 16/27
(c) 6/10 and 30/50
(d) 15/20 and 48/64
(e) 2/3 and 33/100
(f) 12/32 and 3/16
please show how u got the answer thank you.
Answered by Penny Nom. |
|
|
|
|
|
|
Common tangents |
2001-04-08 |
|
From Anne:
I have been working on this problem for a while but I'm not sure I'm getting the right answer: Find the common tangents of 2y=x2 and 2y=-x2-16 Thanks for the help. :)
Answered by Harley Weston`. |
|
|
|
|
|
|
Where do the lines y=2x-4 and y=x-1 intesect? |
2001-04-06 |
|
From Bryce:
solve the following problem by setting them equal to each other. Solve for x and y. Where do the lines y=2x-4 and y=x-1 intesect?
Answered by Penny Nom. |
|
|
|
|
|
|
The unit circle and trigonometry |
2001-04-05 |
|
From Ashley:
"My teacher wants us to find out what a unit circle is, which I found out, a circle with the radius of 1, but the problem is he wants us to show the relationship between the unit circle and the sine(30,45,60 degrees), cosine(30,45,60 degrees),and tangent ratios(30,45,60 degrees). I need help with this and my teacher will not help us out. Thanks very much ...
Answered by Penny Nom. |
|
|
|
|
|
|
Hexominos |
2001-04-05 |
|
From Tom:
What is a hexomino and how many different shapes are possible?
Answered by Harley Weston. |
|
|
|
|
|
|
A combination lock |
2001-04-05 |
|
From Ken:
What is total number of combinations possible on a combination lock which contains 3 wheels each numbered 0-9?
Answered by Penny Nom. |
|
|
