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1) A sphere of radius 1 foot is filled with 250 pounds of liquid. How much work is done pumping the liquid to a point 3 feet above the top of the sphere? (Draw a picture.)
2) How much work is done lifting a 60 pound chair from the ground to the top of a 20 foot building with a cable which weighs 1 pound per foot.
Look up the original papers by Warshall and by Roy (in French) in which they develop algorithms for finding transitive closures. Discuss their approaches.
Rhonda received her social security check for 1275 she spent 1/3 on rent and 3/5 of the remaining amount on utilities food and transportation. How much does she have left?
The radius of a circular disk is given as 30 cm with a maximum error in measurement of 04 cm. Use differentials to estimate the maximum possible error in the calculated area of the disk.
Quadratic Equation - Cancellation Round-off Error - Numerical Analysis - Looking for Solution Confirmation Using (2), x1 = (11.01 - 11.0077) / (2 * 1.002) = 0.0012
what would you learn from solutions of the following inequalities? i. -25005000x-750x2gt0 ii. pxlt0 iii.
The faster ship makes the voyage in 50 hr. less time than the slower one. Find the speeds of the two ships.
The mean of a set of data is 174.25 and the sum of the data is 1,394. How many numbers are in the set?
A rectangle is inscribed in a circle of radius 2. Let P= (x,y) be the point in quadrant 1 that is a vertex of the rectangle and is on the circle.
Solve the equation by using the square root property.
Specific PerformanceLiz Claiborne, Inc. (Claiborne), is a large maker of sportswear in the United States and a wellknown name in fashion, with sales of over $1 billion per year.
In 10 tosses of a fair coin, would you be surprised to see exactly 6 heads? In 1000 tosses of a fair coin, would you be surprised to see exactly 600 heads? Of the two scenarios, which is the more surprising and why?
a. Express the prime number 31 as the difference of two squares?
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