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Squares on a chess board |
2001-04-11 |
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Tom pose la question : 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. Penny Nom lui répond. |
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Compound interest |
2001-04-11 |
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A student pose la question : What principal will grow to $1367.10 after 1 year at 10% compounded semi-annually? Claude Tardif and Penny Nom lui répond. |
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Prisms |
2001-04-10 |
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A fourth grade class pose la question : 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? Chris Fisher lui répond. |
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Parabola problems |
2001-04-10 |
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Kathleen pose la question :
- 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)
Harley Weston lui répond. |
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Integration by parts |
2001-04-09 |
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A student pose la question : how do you integrate x tan-1x dx, i know it can be done by integration by parts maybe, but i'm not sure.... Claude Tardif and Harley Weston lui répond. |
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Les dimensions d'un rectangle |
2001-04-09 |
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Un elévè pose la question : 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? Claude Tardif lui répond. |
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The domain of a function |
2001-04-08 |
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Mina pose la question : 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? Harley Weston lui répond. |
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The normal to a curve |
2001-04-08 |
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Varenne pose la question : 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 Harley Weston lui répond. |
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Five fourths |
2001-04-08 |
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Linda pose la question : Can you have 5/4 of something? Penny Nom lui répond. |
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Equivalent fractions |
2001-04-08 |
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A student pose la question : 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. Penny Nom lui répond. |
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Common tangents |
2001-04-08 |
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Anne pose la question : 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. :) Harley Weston` lui répond. |
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Where do the lines y=2x-4 and y=x-1 intesect? |
2001-04-06 |
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Bryce pose la question : 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? Penny Nom lui répond. |
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The unit circle and trigonometry |
2001-04-05 |
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Ashley pose la question : "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 ... Penny Nom lui répond. |
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Hexominos |
2001-04-05 |
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Tom pose la question : What is a hexomino and how many different shapes are possible? Harley Weston lui répond. |
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A combination lock |
2001-04-05 |
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Ken pose la question : What is total number of combinations possible on a combination lock which contains 3 wheels each numbered 0-9? Penny Nom lui répond. |
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