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A limit of the form 0 times infinity |
2007-11-13 |
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From Russell: find the following limit
lim x((e^1/x) -1) as
x --> infinity Answered by Penny Nom. |
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Radial motion |
2007-11-13 |
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From abdulai: a circular saw with diameter 18.4cm rotates at 2400rpm. What is the angular speed of a point on the edge of the saw blade in radians per second? Answered by Penny Nom. |
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Our company charges a 4% margin |
2007-11-13 |
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From Nadja: Our company charges a 4% margin on top of a pay rate to obtain the total charge rate. A
client is denying that the total charge rate is calculated in the following
way:
Pay rate/0.96 = Charge rate
Please could you provide me with an explanation which I can pass on as
to why it is calculated in this way? Answered by Penny Nom. |
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The areas of a rectangle and a triangle |
2007-11-13 |
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From karen: hoe to calculate the shaded area of a triangle in a rectangle Answered by Penny Nom. |
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EFGH x 4 = HGFE |
2007-11-13 |
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From ROBIN: FIND THE NUMBERS THAT EACH LETTER STANDS FOR IN THE PROBLEM BELOW.
EFGH x 4 = HGFE Answered by Stephen La Rocque. |
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A 10% markup then a 10% discount |
2007-11-13 |
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From svetik: The best selling dessert at Chez Russell earns revenue of $5000 per week. During Restaurant Week, they are required to give a 10% discount on this dessert. Because the owner is a crook, he decides to mark up the price the week before Restaurant Week and then give the 10% discount off the marked up price. During the marked up week, they still sold the same amount of pieces as any prior week. However, they expect to sell 100 more pieces during restaurant week. If the revenue from this dessert is the same for the marked up week and restaurant week, what is the normal price of the dessert, rounded to the nearest cent? Answered by Penny Nom. |
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Local maxima, minima and inflection points |
2007-11-13 |
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From Russell: let f(x) = x^3 - 3a^2^ x +2a^4 with a parameter a > 1.
Find the coordinates of local minimum and local maximum
Find the coordinates of the inflection points Answered by Harley Weston. |
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p-values and t-distributions |
2007-11-13 |
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From Don: I have a t-test statistic of 1.28 and a degree of freedom of 6.
I know the p-value is .248 I cannot figure out how to calculate that value.
I have used software to get it but I want to know how to calculate it using
the t-distribution table. Answered by Harley Weston. |
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Whole numbers and improper fractions |
2007-11-13 |
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From Jennifer: I would like to know how you convert whole numbers into improper fractions Answered by Melanie Tyrer. |
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A particle moves in the xy-plane |
2007-11-12 |
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From Russell: A particle moves in the xy-plane with
X = 2t^3 - 12t^2 + 18t
Y = 3t^4 - 28t^3 + 72t^2
find an equation of the line tangent to the given curve at t_0_ = 1
note: t_0_ is t subscript 0 Answered by Harley Weston. |
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nombre d'or |
2007-11-12 |
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From Léo: On suppose que le rapport a+b/a est égal au nombre d'or (1+racine carrée de 5/é)
a) Calculer (a+b) au carré et a+(a+b) en fonction de a.
Je n'y arrive pas. Pouvez-vous m'aider?
merci Answered by Claude Tardif. |
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The third side of a triange |
2007-11-12 |
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From Christine: I need the inequality to describe the third side of a triange if two sides are known. First side is 23 and second side is 15. What is the third side? Answered by Stephen La Rocque and Victoria West. |
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Maximize his profit |
2007-11-12 |
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From apoorva: During the summer months Terry makes and sells necklaces on the beach. Last summer he sold the necklaces for $10 each and his sales averaged 20 per day. When he increased the price by $1, he found that he lost two sales per day.
a. Find the demand function, assuming it is linear.
b. If the material for each necklace costs Terry $6, what should the selling price be to maximize his profit? Answered by Penny Nom. |
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Family of functions |
2007-11-12 |
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From Russell: Consider the family of functions
f(t)= Asin3t + Acos3t +Bsin8t + Bcos8t
find exact values of parameters A and B so that f(0) = 2 and f ' (0) = 1 Answered by Stephen La Rocque. |
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What number best completes the series? |
2007-11-12 |
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From Grace: What number best completes the series?
2 3 7 13 27 ____ Answered by Stephen La Rocque, Penny Nom and Harley Weston. |
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