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The centroid C shown in figure 6.6.14(shows an upside down triangle centered on the y axis topped the an arc "h" high) appears to lie about one-third of the way from the arc to the horizontal chord joining its endpoints. Prove that this is indeed so for small values of "alpha" by showing that lim alpha>0 (d/h)=1/3, where d denotes the distance from the centroid C to the highest point (0,1) of the circular arc.
A plane inclined at an angle of 45° passes through a diameter of the base of a cylinder of radius r = 2. Find the volume of the region within the cylinder and under the plane pictured below.
Jessica went shopping for a new watch. She found a watch that was originally priced at $50 on sale for $40. By what percent had the watch been marked down?
Probability from stem and leaf plot, The ages of 25 employees in a company are listed below in a stem and leaf plot. What is the probability that a worker chosen at random
Determine the optimal production plan, i.e. , how many cupboards to produce each day in order to minimize the total production cost.
If the company's revenue from the sale of the shoes in 2006 was $3.0 million, what was the approximate revenue from the sale of the shoes in 2005?
Thirty workers complete a project in 20 days. For the project to be completed in 10 days, how many additional workers are needed if each new worker is only half as productive as the original group?
Saunders Corp. has current liabilities of $440,000, a quick ratio of 0.81, inventory turnover of 5.7, and a current ratio of 1.8. What is the cost of goods sold for the company?
a game warden catches, tags and then releases 15 zebras. a month later, a sample of 20 zebras is collected and 6 of them have tags. use this information to estimate the size of the zebra population in that area.
Prove that there cannot be a nilpotent group N generated by two elements with the property that every nilpotent group generated by two elements is a homomorphic image of N
The load on this beam and rollers apparatus had to be moved distance 20 units. If the circumgerance of each of the rollers is 0.8 units, how many turns must the rollers make to accomplish the move?
Calculate the increased odds of CHD in females who have a family history of CHD & exercise three times per week compared to males who do not exercise & have not family history of CHD.
Her research indicates that she could earn 45% in one year if the cure is successful or lose 63% in one year if it is not. At what probability of success (P) would the pharmaceuticals stock be the better choice?
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