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The region in the first quadrant bounded by the graphs of y = x and is rotated around the line y = x. Find(a) the centroid of the region and (b) the volume of the solid of revolution. y= x^2/2 Find the length of the graph ofy=1/3(x^3/2-x^1/2from(1,-2/3)to(4,2/3)
Differentiate the functions. y = (square root cos (square root x))
Write an equation in slope-intercept form for the line described.
A tree on a hillside casts a shadow 206 ft down the hill. If the angle of inclination of the hillside is to the horizontal and the angle of elevation of the sun is , find the height of the tree. Please round your answers to the nearest whole.
What is the probability that a randomly chosen employee who has not had graduate training is a woman?
What is the probability that more than one machine is in the system? What is the probability that more than two are broken and waiting to be repaired or being serviced, as well as three and four machines?
Given that A, B, C, and D are noncoplanar, which of the following could be the intersection of Plane ABC and ray AD?
Find three consecutive even integers such that the sum of twice the smallest and four times the largest is 304.
a carpenter is building a rectangular room with a fixed perimiter of 300 ft. What dimensions would yield the maximum area? what is the maximum area?
Set up the inequalities representing the baker's possible choices for baking the number of loaves of bread and muffins to use up his available resources (wheat and sugar).
The base of an aquarium with volume V = 215 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
A poll of 69 students found that 24% were in favor of raising tution to build a new math building. The standard deviation of this poll is 4%. What would be the standard deviation if the sample size were increased from 69 to 205?
What is the value for y?
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