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Let a and k be two positive constants. Find the centre of mass of the solid bounded by the cone z2 = X2 + y2 and above by the sphere X2 + y2 + z2 = 2az and whose density is kz.
Find the smallest possible set (that is, the set with least number of elements) that contains the given sets as subsets.
The objective is to minimize the sum of the completion times of all the jobs. Provide an integer programming formulation for this problem.
Determine whether the following series converge or diverge
Elena bicycle 6km/h faster than javier. in the same time it takes javier to bicycle 36km,elena can bicycle 54km. how fast do each bicycles travel?
A cylindrical container 1.7 {rm m} tall contains mercury to a certain depth, d. The rest of the cylinder is filled with water. If the pressure at the bottom of the cylinder is two atmospheres, what is the depth d?
Pete walks at the rate 5 ft/sec toward a street light whose lamp is 20 ft above the base of the light. If Pete is 6 ft tall, determine the rate of change of the length of Pete's shadow at the moment he is 24 ft from the base of the lamppost.
The assignment this week is to collect quantitative data for a minimum of 10 days from ONE of your daily activities. Some examples of data collection include:The number of minutes you spend studying every day.The time it takes to cook meals each day.
For Calgary, the mean daily maximum temperature in March is 4.5ºC and the standard deviation is 6.25ºC. What percent of days would you predict would be between 0ºC and 10ºC?
They claim that they put the names of all of the students in the school in the basket and that they randomly drew 36 names out of this basket. Of the prize winners, 6 were freshmen, 14 were sophomores, 9 were juniors, and 7 were seniors.
Find a nonzero vector PQ with initial point P(-1,3,-5) such that u is opposite in direction to v = (6,7,-3). In other words, find the coordinates of Q.
A rope is wrapped around a pole so that a force of 75 lbs acts on one end and a force of 53 lbs acts on the other end. If the angle between the two forces is 114 degrees what is the resultant force?
Approximate the derivative of y=x^3 at x=2 by assuming delta x = 0.001 and determining the corresponding change delta y. Compare the approximate value with the exact value.
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