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The volume of a cone varies jointly as the square of its radius and its height. If the volume of a cone is 2pi cubic inches when the radius is 1 inch and the height is 6 inches, find the volume of a cone when the radius is 2 inches and the height is 3 inches.
A rectangular swimming pool 60 ft long, 10 ft wide, and 8 ft deep is filled with water to a depth of 7 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3.)
In a pie graph, if pepperoni pizza were 24/72 of the distribution, how many degrees would be needed to represent pepperoni?
Graph the model for a person who weighs 120 pounds - find the Body Mass Index of a patient who is 6 feet tall and weighs 170 pounds and Find the Body Mass Index readings of a person
In a certain type of automobile engine, the cylinder head is fastened to the block by 10 bolts, each of which should be torqued to 60 N · m. If each bolt is torqued correctly with probability 0.99, what is the probability that all the bolts on a cy..
Let V be a vector space and u, v, w belong to V. rove that u-v, v-w, and w-u form a linearly dependent set.
Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability.
Sodas in a can are supposed to contain an average 12 oz. This particular brand has a standard deviation of 0.1 oz., with an average of 12.1 oz. If the contents in the population of all cans follow a normal distribution, what is the probability tha..
Where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semi-skilled person. Find values of x and y that minimize the labor charge. Find the minimum labor charge.
A body starts to move from the origin into the first quadrant along the curve y = ln(sec x) . If its speed is always 3, find x and y as functions of t .
Find the level of production that will maximize revenue. If the producer s costs are given by C(x) = 2 + 3x what should his level of production be to maximize profits?
Consider the function f(x) = (2t2 - t)3. Write a tangent and normal line to the curve when t = 2. List all of the derivative rules, in order, needed to evaluate f'(t)
A league of 20 teams is playing a "round-robin" style tournament, where each team plays every other team exactly once. How many games total need to be played?
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