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Integrating e^x sin(x) |
2003-05-03 |
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Lech pose la question : I am having trouble integrating the following expression by parts: ex sin(x) I used the integrator at http://www.integrals.com/ to find the solution, ? 1/2 ex cos(x) + 1/2 ex sin(x). This is easy to confirm by differentiation, however I am confounded as how to arrive at the answer. Penny Nom and Claude Tardif lui répond. |
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The volume of air flowing in windpipes |
2003-05-02 |
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James pose la question : The volume of air flowing in windpipes is given by V=kpR4, where k is a constant, p is the pressure difference at each end, R is the radius. The radius will decrease with increased pressure, according to the formula: Ro - R = cp, where Ro is the windpipe radius when p=0 & c is a positive constant. R is restricted such that: 0 < 0.5*Ro < R < Ro, find the factor by which the radius of the windpipe contracts to give maximum flow? Penny Nom lui répond. |
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positive multiples of 10 that are the sum of four consecutive integers |
2003-05-01 |
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Taurus pose la question : How many positive multiples of 10 that are less than 1000 are the sum of four consecutive integers? Penny Nom lui répond. |
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A circle, tangent to two circles and a line |
2003-04-30 |
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Keith pose la question : I have a horizontal line (that is treated as a datum line or the X axis), with two circles having their center points at different heights from that line (X1,Y1 & X2,Y2). The two circles are also at different diameters (R1 & R2). Both circles and the line (X-Axis) do not intersect nor are they tangent. My goal is to determine the maximum diameter of an inscribed circle that will fit between all three. Chris Fisher and Harley Weston lui répond. |
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A binomial probability |
2003-04-30 |
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Erica pose la question : In a biathlon, athletes shot at 20 targets. A particular athlete had a probability of 0.18 of missing a target. Assuming a binomial distribution, what is the probability, to the nearest thousandth, that the athlete hit exactly 16 targets? Andrei Volodin lui répond. |
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Some shapes |
2003-04-29 |
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Suzanne pose la question :
- What shape has 12 edges all the same length?
- What shape has 3 surfaces and 1 is curved?
Penny Nom lui répond. |
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Profit for a dance studio |
2003-04-28 |
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Craig pose la question : A dance studio charges $80 per student for a series of 2 hour lessons. The studio's costs are $30 per hour for the instructor, $15 per lesson for the room rental, and $3 per student for miscellaneous expenses. If x is the number of students enrolled in the class, express the studio's profit P(x) in terms of x. Find the profit if 10 students are enrolled in the class. Penny Nom lui répond. |
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A skill testing question |
2003-04-27 |
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Allan pose la question : it is a contest Labatt Blue can you please give me the answer some people are saying 154 and some 34 Leeanne Boehm and Harley Weston lui répond. |
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20% of 40% of 500 |
2003-04-27 |
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A student pose la question : What is 20% of 40% of 500 Penny Nom lui répond. |
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The product of four consecutive integers is 3024. |
2003-04-25 |
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pillar pose la question : The product of four consecutive integers is 3024. What are those numbers. Penny Nom lui répond. |
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Gallons of rain |
2003-04-25 |
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Jocelyn pose la question : If you have a surface of 6500 square feet and 1 inch of rain falls on the surface, how many gallons of water does this equal? Penny Nom lui répond. |
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38 minus 10 plus 12 divided by 4 times 16 |
2003-04-23 |
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James pose la question : please help me work this math problem 38 minus 10 plus 12 divided by 4 times 16 Harley Weston lui répond. |
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Hidden by the curvature of the Earth |
2003-04-23 |
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Shirley pose la question : There are 2 six foot men. What would the distance be between them before one could not be seen because of the curvature of the earth? Penny Nom lui répond. |
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Two intersecting graphs |
2003-04-23 |
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Patty pose la question :
a) graph the equation x2 - y - 4 = 0
x2 + y2 = 9 on the same set of coordinate axes. I did not have a problem with this. The problem is part (b) of the question ask: Find all solutions of the system in part (a) algebraically. Express answers in decimal form, accurate to two decimal places. Penny Nom lui répond. |
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8 faces, 12 vertices, and 18 edges |
2003-04-22 |
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Thomas pose la question : I would like to know the proper name for this geometrical solid. It has 8 faces, 12 vertices, and 18 edges? Penny Nom lui répond. |
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